Academic literature on the topic 'Contour de Hankel'

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Journal articles on the topic "Contour de Hankel"

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Corcino, Cristina B., and Roberto B. Corcino. "An Asymptotic Formula for r-Bell Numbers with Real Arguments." ISRN Discrete Mathematics 2013 (February 13, 2013): 1–7. http://dx.doi.org/10.1155/2013/274697.

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The r-Bell numbers are generalized using the concept of the Hankel contour. Some properties parallel to those of the ordinary Bell numbers are established. Moreover, an asymptotic approximation for r-Bell numbers with real arguments is obtained.
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Pak, Ronald Y. S., and Xiaoyong Bai. "Analytic resolution of time-domain half-space Green's functions for internal loads by a displacement potential-Laplace-Hankel-Cagniard transform method." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2235 (March 2020): 20190610. http://dx.doi.org/10.1098/rspa.2019.0610.

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A refined yet compact analytical formulation is presented for the time-domain elastodynamic response of a three-dimensional half-space subject to an arbitrary internal or surface force distribution. By integrating Laplace and Hankel transforms into a method of displacement potentials and Cagniard's inversion concept, it is shown that the solution can be derived in a straightforward manner for the generalized classical wave propagation problem. For the canonical case of a buried point load with a step time function, the response is proved to be naturally reducible with the aid of a parametrized Bessel function integral representation to six wave-group integrals on finite contours in the complex plane that stay away from all branch points and the Rayleigh pole except possibly at the starting point of the contours. On the latter occasions, the possible singularities of the integrals can be rigorously extracted by an extended method of asymptotic decomposition, rendering the residual numerical computation a simple exercise. With the new solution format, the arrival time of each wave group is derivable by simple criteria on the contour. Typical results for the time-domain response for an internal point force as well as the degenerate case of a surface point source are included for comparison and illustrations.
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Boyadzhiev, Khristo N. "Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals." Applied Mathematics and Computation 186, no. 2 (March 2007): 1559–71. http://dx.doi.org/10.1016/j.amc.2006.08.061.

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Fokas, A. S., and M. L. Glasser. "The Laplace equation in the exterior of the Hankel contour and novel identities for hypergeometric functions." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2157 (September 8, 2013): 20130081. http://dx.doi.org/10.1098/rspa.2013.0081.

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By using conformal mappings, it is possible to express the solution of certain boundary-value problems for the Laplace equation in terms of a single integral involving the given boundary data. We show that such explicit formulae can be used to obtain novel identity for special functions. A convenient tool for deriving this type of identity is the so-called global relation , which has appeared recently in a wide range of boundary-value problems. As a concrete application, we analyse the Neumann boundary-value problem for the Laplace equation in the exterior of the Hankel contour, which appears in the definition of both the gamma and the Riemann zeta functions. By using the explicit solution of this problem, we derive a number of novel identities involving the hypergeometric function. Also, we point out an interesting connection between the solution of the above Neumann boundary-value problem for a particular set of Neumann data and the Riemann hypothesis.
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Tsai, Y. M. "Forced Vibratory Motion of a Circular Disk on an Infinite Transversely Isotropic Medium." Journal of Energy Resources Technology 111, no. 1 (March 1, 1989): 50–54. http://dx.doi.org/10.1115/1.3231401.

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The forced vertical vibratory motion of a rigid body with a circular base on the surface of a transversely isotropic material is investigated by using the method of Hankel transform. The total dynamic contact force is obtained through a complete contour integration in terms of the Rayleigh surface waves. The real-valued displacement functions are expressed in terms of the frequency factor and the anisotropic material constants. The resonant amplitudes of vibration are shown to depend significantly on the anisotropic material constants, the mass ratio, and the vibration frequency.
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Tsai, Y. M. "Dynamic Response to Normal Stresses in a Transversely Isotropic Material Containing an External Circular Crack." Journal of Engineering Materials and Technology 114, no. 2 (April 1, 1992): 208–12. http://dx.doi.org/10.1115/1.2904163.

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The dynamic response of an external circular crack to a harmonic longitudinal wave in a transversely isotropic material is investigated using the techniques of Hankel transform. The wave impinges normally onto the crack surfaces. The inversion integral is evaluated and simplified through a complete contour integration. An exact expression for the dynamic stress intensity factor is obtained in terms of the wave frequency and the anisotropic material constants. The maximum value of the normalized dynamic stress-intensity factor is shown to occur at different wave frequencies for different sample composite and metallic materials. The dynamic effect on the crack surface displacement is also shown to be a function of the wave frequency and the material anisotropy.
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Dainty, Anton M., and David B. Harris. "Phase velocity estimation of diffusely scattered waves." Bulletin of the Seismological Society of America 79, no. 4 (August 1, 1989): 1231–50. http://dx.doi.org/10.1785/bssa0790041231.

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Abstract Two methods are investigated for estimating the phase velocity of diffusely scattered seismic waves simultaneously arriving from different azimuths and recorded by a two-dimensional array of seismometers. The Hankel spectrum is the average of the frequency-wavenumber (FK) spectrum over all azimuths, while the wavenumber spectrum is derived by integrating the FK spectrum around a contour of constant phase velocity, i.e., a circle centered on the origin in the wavenumber plane. If the conventional estimate of the FK spectrum using the covariance matrix of the seismometer signals is integrated, a closed form for both the Hankel spectrum and the wavenumber spectrum may be found; the two spectra are very similar, the wavenumber spectrum being equal to the Hankel spectrum times the wavenumber. In spite of this similarity, however, we find that the two formulations have significantly different behavior for small wavenumbers, i.e., high phase velocities. In both cases there is a highest (true) velocity that can be estimated from the spectral maximum for a given array aperture (“velocity cut-off”). The Hankel spectrum estimates too high a velocity; for true wavenumbers below a certain limit, infinite velocity is estimated. The wavenumber spectrum, on the other hand, estimates too low a velocity, and there is an upper limit on the estimated velocity. An example illustrating these difficulties for the two methods is given for teleseismic P coda of an event recorded at the NORESS array in southern Norway: in spite of the problems, the analysis is able to demonstrate that the coda consists of two components; a coherent P-wave component with a high phase velocity and a diffuse S-wave component of low phase velocity. The cut-off and bias problem are investigated by numerical simulation for the NORESS array using azimuthal averaging and synthetic signals. The results confirm and quantify the cut-off problem at low wavenumbers and indicate that wavenumbers estimated from the Hankel and wavenumber spectra maxima bracket the true wavenumber, with the Hankel spectrum estimate being low (phase velocity too high) and the wavenumber spectrum estimate high. The bias of both methods decreases with increasing wavenumber (decreasing phase velocity) and they are both asymptotically unbiased. The wavenumber spectrum has a superior performance at low wavenumbers (high phase velocity), but the Hankel spectrum gives superior results at high wavenumbers (low phase velocity). The product of the linear wavenumber (= 1/wavelength) and the array aperture define “high” and “low” wavenumbers; for low wavenumbers, the product is 1 or less. In an Appendix, we find absolute lower bounds on the cut-offs analytically. The problems could be mitigated by using high resolution methods.
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Schmidt, Maxie D. "A Short Note on Integral Transformations and Conversion Formulas for Sequence Generating Functions." Axioms 8, no. 2 (May 19, 2019): 62. http://dx.doi.org/10.3390/axioms8020062.

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The purpose of this note is to provide an expository introduction to some more curious integral formulas and transformations involving generating functions. We seek to generalize these results and integral representations which effectively provide a mechanism for converting between a sequence’s ordinary and exponential generating function (OGF and EGF, respectively) and vice versa. The Laplace transform provides an integral formula for the EGF-to-OGF transformation, where the reverse OGF-to-EGF operation requires more careful integration techniques. We prove two variants of the OGF-to-EGF transformation integrals from the Hankel loop contour for the reciprocal gamma function and from Fourier series expansions of integral representations for the Hadamard product of two generating functions, respectively. We also suggest several generalizations of these integral formulas and provide new examples along the way.
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Nickelson, Liudmila, Raimondas Pomarnacki, Tomyslav Sledevič, and Darius Plonis. "Method of Singular Integral Equations for Analysis of Strip Structures and Experimental Confirmation." Mathematics 9, no. 2 (January 11, 2021): 140. http://dx.doi.org/10.3390/math9020140.

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This paper presents a rigorous solution of the Helmholtz equation for regular waveguide structures with the finite sizes of all cross-section elements that may have an arbitrary shape. The solution is based on the theory of Singular Integral Equations (SIE). The SIE method proposed here is used to find a solution to differential equations with a point source. This fundamental solution of the equations is then applied in an integral representation of the general solution for our boundary problem. The integral representation always satisfies the differential equations derived from the Maxwell’s ones and has unknown functions μe and μh that are determined by the implementation of appropriate boundary conditions. The waveguide structures under consideration may contain homogeneous isotropic materials such as dielectrics, semiconductors, metals, and so forth. The proposed algorithm based on the SIE method also allows us to compute waveguide structures containing materials with high losses. The proposed solution allows us to satisfy all boundary conditions on the contour separating materials with different constitutive parameters and the condition at infinity for open structures as well as the wave equation. In our solution, the longitudinal components of the electric and magnetic fields are expressed in the integral form with the kernel consisting of an unknown function μe or μh and the Hankel function of the second kind. It is important to note that the above-mentioned integral representation is transformed into the Cauchy type integrals with the density function μe or μh at certain singular points of the contour of integration. The properties and values of these integrals are known under certain conditions. Contours that limit different materials of waveguide elements are divided into small segments. The number of segments can determine the accuracy of the solution of a problem. We assume for simplicity that the unknown functions μe and μh, which we are looking for, are located in the middle of each segment. After writing down the boundary conditions for the central point of every segment of all contours, we receive a well-conditioned algebraic system of linear equations, by solving which we will define functions μe and μh that correspond to these central points. Knowing the densities μe, μh, it is easy to calculate the dispersion characteristics of the structure as well as the electromagnetic (EM) field distributions inside and outside the structure. The comparison of our calculations by the SIE method with experimental data is also presented in this paper.
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Nickelson, Liudmila, Raimondas Pomarnacki, Tomyslav Sledevič, and Darius Plonis. "Method of Singular Integral Equations for Analysis of Strip Structures and Experimental Confirmation." Mathematics 9, no. 2 (January 11, 2021): 140. http://dx.doi.org/10.3390/math9020140.

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This paper presents a rigorous solution of the Helmholtz equation for regular waveguide structures with the finite sizes of all cross-section elements that may have an arbitrary shape. The solution is based on the theory of Singular Integral Equations (SIE). The SIE method proposed here is used to find a solution to differential equations with a point source. This fundamental solution of the equations is then applied in an integral representation of the general solution for our boundary problem. The integral representation always satisfies the differential equations derived from the Maxwell’s ones and has unknown functions μe and μh that are determined by the implementation of appropriate boundary conditions. The waveguide structures under consideration may contain homogeneous isotropic materials such as dielectrics, semiconductors, metals, and so forth. The proposed algorithm based on the SIE method also allows us to compute waveguide structures containing materials with high losses. The proposed solution allows us to satisfy all boundary conditions on the contour separating materials with different constitutive parameters and the condition at infinity for open structures as well as the wave equation. In our solution, the longitudinal components of the electric and magnetic fields are expressed in the integral form with the kernel consisting of an unknown function μe or μh and the Hankel function of the second kind. It is important to note that the above-mentioned integral representation is transformed into the Cauchy type integrals with the density function μe or μh at certain singular points of the contour of integration. The properties and values of these integrals are known under certain conditions. Contours that limit different materials of waveguide elements are divided into small segments. The number of segments can determine the accuracy of the solution of a problem. We assume for simplicity that the unknown functions μe and μh, which we are looking for, are located in the middle of each segment. After writing down the boundary conditions for the central point of every segment of all contours, we receive a well-conditioned algebraic system of linear equations, by solving which we will define functions μe and μh that correspond to these central points. Knowing the densities μe, μh, it is easy to calculate the dispersion characteristics of the structure as well as the electromagnetic (EM) field distributions inside and outside the structure. The comparison of our calculations by the SIE method with experimental data is also presented in this paper.
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Dissertations / Theses on the topic "Contour de Hankel"

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Segura, ugalde Esteban. "Computation of invariant pairs and matrix solvents." Thesis, Limoges, 2015. http://www.theses.fr/2015LIMO0045/document.

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Cette thèse porte sur certains aspects symboliques-numériques du problème des paires invariantes pour les polynômes de matrices. Les paires invariantes généralisent la définition de valeur propre / vecteur propre et correspondent à la notion de sous-espaces invariants pour le cas nonlinéaire. Elles trouvent leurs applications dans le calcul numérique de plusieurs valeurs propres d’un polynôme de matrices; elles présentent aussi un intérêt dans le contexte des systèmes différentiels. En utilisant une approche basée sur les intégrales de contour, nous déterminons des expressions du nombre de conditionnement et de l’erreur rétrograde pour le problème du calcul des paires invariantes. Ensuite, nous adaptons la méthode des moments de Sakurai-Sugiura au calcul des paires invariantes et nous étudions le comportement de la version scalaire et par blocs de la méthode en présence de valeurs propres multiples. Le résultats obtenus à l’aide des approches directes peuvent éventuellement être améliorés numériquement grâce à une méthode itérative: nous proposons ici une comparaison de deux variantes de la méthode de Newton appliquée aux paires invariantes. Le problème des solvants de matrices est très proche de celui des paires invariants. Le résultats présentés ci-dessus sont donc appliqués au cas des solvants pour obtenir des expressions du nombre de conditionnement et de l’erreur, et un algorithme de calcul basé sur la méthode des moments. De plus, nous étudions le lien entre le problème des solvants et la transformation des polynômes de matrices en forme triangulaire
In this thesis, we study some symbolic-numeric aspects of the invariant pair problem for matrix polynomials. Invariant pairs extend the notion of eigenvalue-eigenvector pairs, providing a counterpart of invariant subspaces for the nonlinear case. They have applications in the numeric computation of several eigenvalues of a matrix polynomial; they also present an interest in the context of differential systems. Here, a contour integral formulation is applied to compute condition numbers and backward errors for invariant pairs. We then adapt the Sakurai-Sugiura moment method to the computation of invariant pairs, including some classes of problems that have multiple eigenvalues, and we analyze the behavior of the scalar and block versions of the method in presence of different multiplicity patterns. Results obtained via direct approaches may need to be refined numerically using an iterative method: here we study and compare two variants of Newton’s method applied to the invariant pair problem. The matrix solvent problem is closely related to invariant pairs. Therefore, we specialize our results on invariant pairs to the case of matrix solvents, thus obtaining formulations for the condition number and backward errors, and a moment-based computational approach. Furthermore, we investigate the relation between the matrix solvent problem and the triangularization of matrix polynomials
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Puyhaubert, Vincent. "Modèles d'urnes et phénomènes de seuils en combinatoire analytique." Phd thesis, Ecole Polytechnique X, 2005. http://pastel.archives-ouvertes.fr/pastel-00001348.

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Cette thèse traite de phénomènes de seuils et de modèles d'urnes, en adoptant le point de vue de la combinatoire analytique. On traite ici trois problèmes qui illustrent cette approche: la transition de phase du problème k-sat, les modèles d'urnes triangulaires de Polya-Eggenberger et le modèle de duel de Ok Corral. La transition de phase du problème k-sat se manifeste par le fait la densité d'une formule caractérise de manière presque sûre sa satisfaisabilité. Nos travaux visent à mettre en évidence une partie de ce phénomène et se relient à un modèle d'urne à jets. Le modèle d'urne de Polya-Eggenberger utilise une urne contenant des boules de diverses couleurs, soumises à des règles de pioches et de substitutions. En utilisant une technique de Flajolet-Gabarro-Pekari, nous déterminons la distribution limite de la composition des modèles dits triangulaires. Le modèle de duel de Ok Corral intervient dans une problématique plus générale de Lanchester de gestion des conflits, selon laquelle on cherche à prédire l'issue de duels entre plusieurs forces armées, en environnement aléatoire. Nous utilisons un lien pré-établi entre ce modèle et une urne de type Polya-Eggenberger pour donner de nouvelles expressions des probabilités du modèle et raffiner les résultats récents de Kingman.
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Silva, Anne Talita Noronha. "Contos de Melissa: uma relação intersemiótica entre os contos de fadas tradicionais e o conto publicitário." Universidade Presbiteriana Mackenzie, 2012. http://tede.mackenzie.br/jspui/handle/tede/2153.

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Este trabajo, por hacer parte del ámbito de los estudios del lenguaje, dirige su interés al estudio del texto. Para eso, en primer lugar hace consideraciones sobre los conceptos de dialogismo e intertextualidad teniendo como referencias textos no verbales. Estos textos son piezas publicitarias de la campaña Cuentos de Melissa, de la empresa Grendene/Melissa, presentada en revistas femeninas cuando del lanzamiento de la colección primavera/verano en 2008. Las piezas publicitarias utilizadas resultaron de la adaptación de cuatro cuentos tradicionales que generalmente son presentados como textos verbales, es decir, por medio de palabras. El estudio tiene como primer objetivo observar, basado en los fundamentos teóricos del dialogismo de Mikhail Bakhtin y también en estudios realizados por José Luiz Fiorin sobre ese concepto, como la intertextualidad se revela en la construcción de los textos de esa campaña, pues, por lo general, ese proceso sucede en la relación entre textos del mismo sistema semiótico, pero, en el caso de la campaña, la incorporación de elementos del texto-fuente, es decir, los cuentos tradicionales, sucede entre sistemas semióticos diferentes, o sea, ocurre un traducción inter-semiótica.
Este trabalho, por fazer parte do âmbito dos estudos da linguagem, direciona seu interesse ao estudo do texto. Para tanto, primeiramente tece considerações sobre os conceitos de dialogismo e intertextualidade tendo como referência textos não verbais. Esses textos são peças publicitárias da campanha Contos de Melissa, da empresa Grendene/Melissa, veiculada em revistas femininas na ocasião do lançamento da coleção primavera/verão 2008. As peças publicitárias utilizadas resultaram da adaptação de quatro contos tradicionais que, geralmente, são apresentados como textos verbais, ou seja, por meio de palavras. O estudo tem por finalidade primeira observar, com base nos fundamentos teóricos do dialogismo de Mikhail Bakhtin e também em estudos realizados por José Luiz Fiorin sobre esse conceito, como a intertextualidade se revela na construção dos textos dessa campanha, pois, em geral, esse processo acontece na relação entre textos do mesmo sistema semiótico, porém, no caso da campanha, a incorporação de elementos do texto-fonte, no caso, os contos tradicionais, acontece entre sistemas semióticos diferentes, ou seja, ocorre uma tradução intersemiótica.
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Pimenta, Vanda Ambrósia. "Recorrelações de gênero em contos da antologia do conto goiano II." Universidade Federal de Goiás, 2012. http://repositorio.bc.ufg.br/tede/handle/tede/3669.

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The purpose of this research is to examine the presence of gender relations in five goianos tales, especially the violence of male characters against female characters and the degree of acceptance or resistance to the phenomenon. The stories analyzed are part of the second volume of the Antologia do conto goiano, organized by Vera Maria Tietzmann Silva and Maria Zaira Turchi (1994). As a result of the literary object, we address the evolution of the gender system from the development of civilization until the twentieth century, showing the emergence and perpetuation of the structure of male domination, even after the maturity of feminist struggles. These struggles, however, are not systematically studied, appearingonly in scattered references. With regard to adhesion and to the resistance, we call attention to the fact that identities are socially and politically constructed, in order to establish dominant and dominated groups, and generated cognition of this division as natural and therefore inevitable. The internalization of constructed identities demand constant work of situated agents and, in the case of generic identities, this is played by the institutions and men, with their violent practices. The continuous effect of these practices is leading to adhesion of dominated to dominant, as in almost all of the stories analyzed. Nevertheless, the characters explored also offer a degree of resistance, adopting defensive attitudes, which, however, does not solve the problem. Neither can transpose radically negative condition, usually faced by females.
O objeto teórico deste estudo são as relações de gênero, que se delinearam nas sociedades a partir da organização das civilizações por meio dos contatos. À proporção que elas se organizavam, distinguiam-se os atributos e papéis de homens e mulheres. O propósito da pesquisa é verificar o modo pelo qual, no interior dessas relações, o homem veio a adquirir primazia sobre a mulher, e, em seguida, examinar a presença das relações de gênero em cinco contos goianos. O foco da análise literária é a violência dos personagens masculinos contra os femininos e o grau de adesão ou de resistência ao fenômeno. Os contos analisados fazem parte do segundo volume da Antologia do conto goiano, organizada por Vera Maria Tietzmann Silva e Maria Zaira Turchi (1994). Em decorrência do objeto literário, abordamos a evolução do sistema de gêneros desde o desenvolvimento das civilizações até o século XX, mostrando o surgimento e a perpetuação da estrutura de dominação masculina, mesmo após o amadurecimento das lutas feministas. Essas lutas, entretanto, não são estudadas sistematicamente, aparecendo apenas em referências esparsas. No concernente à adesão e à resistência, chamamos a atenção para o fato de que as identidades são construídas social e politicamente, de forma a estabelecer grupos de dominantes e dominados, e a gerar o reconhecimento dessa divisão como algo natural e, portanto, inevitável. A interiorização das identidades construídas demanda um trabalho constante de agentes situados, e, no caso das identidades genéricas, este é desempenhado pelas instituições e pelos homens, com suas práticas violentas. O efeito contínuo dessas práticas é que leva à adesão do dominado ao dominante, como acontece na quase totalidade dos contos analisados. Apesar disso, as personagens exploradas oferecem também certo grau de resistência, adotando atitudes defensivas, que, entretanto, não solucionam de vez o problema. Nenhuma delas consegue transpor radicalmente a condição negativa, enfrentada em comum pelo gênero feminino.
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Lins, Simões de Oliveira Rebeca. "Era uma vez um conto publicitário: análise multimodal de campanhas publicitárias que envolvem contos de fadas." Universidade Federal de Pernambuco, 2011. https://repositorio.ufpe.br/handle/123456789/7157.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Este trabalho destina-se à análise de textos multimodais publicitários, especificamente da campanha Contos de Melissa da empresa de calçados femininos Melissa e a campanha Princesas O Boticário da empresa de cosméticos O Boticário, veiculados em revistas destinadas ao público feminino, com a finalidade de investigar a utilização da imagem da mulher e como a mesma repercute no meio social. A principal questão desta investigação é observar os meandros da representação feminina erotizada na publicidade, contudo desviamos do caminho de representação estereotipada de mulher objeto e procuramos primar pela exposição de uma mulher sexualizada, porém não subjugada. Objetivou-se a Análise das Características Multimodais e sua Composição Teórica e como tais recursos auxiliam a constituição do sentido social do texto. Salienta-se que usaremos uma proposta multimodal ancorada na perspectiva Retórica, pois julgamos que este recorte é o mais adequado devido ao fato de que não observa apenas as características estruturais do texto. Utilizamos à junção da teoria da Análise Critica do Discurso sob uma perspectiva da Nova Retórica e pormenorizamos o estudo dos textos baseado na Teoria da Multimodalidade, que analisa a ação recíproca existente entre imagem e texto ocasionando novas construções de sentido. Analisamos as publicidades numa perspectiva sincrônica e das relações entre língua, história, cultura e sociedade, compreendendo o discurso, como um modo de representação social e uma ação sobre o mundo e sobre o outro. Tendemos também a observar, através da linguagem imagética, como a publicidade influencia, constrói e/ou desconstrói e propõe a construção da imagem feminina na atualidade
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Wu, Chen-Hua, and 伍晨華. "A Wavelet-Based Dynamic Contours Extension Algorithm for Automatic Breast Lesion Contour Detection on Ultrasound Images." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/68691926077434575192.

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碩士
國立高雄第一科技大學
電腦與通訊工程研究所
100
Breast cancer is a leading cause of cancer death among women no matter in America or Taiwan. Thus, early diagnosis and treatment is necessary and important to detect breast cancer in early stage. Breast ultrasound beats other modalities and is widely used for breast cancer diagnosis since it is non-invasive, no ionizing radiation, able to use in dense breasts, and so on. However, it suffers from the problems of ultrasound image including noises and tissue texture, clinical diagnosis must be highly depends on expertise experience. Physicians with different levels of experience often have different interpretations for the same sonograms. To minimize operator-dependent effects, many computer-aided diagnosis (CAD) algorithms have been proposed to provide an efficient and effective screening for physicians, especially for those lacking enough clinical experience or in overlooking status. This thesis proposed an automatic contour detection system for breast ultrasound. Manually drawing the breast tumor contour is a time-consuming and complicated task. This study proposed a automatic system of tumor contour measures using a wavelet-based dynamic boundary extension algorithm. Physicians just need to give the seed point can automatically draw the tumor contour and find tumor area. The proposed system can assist physician naked eye in judging the accuracy, to achieve increased efficiency and time-saving advantages. First, the user gives a seed to select the target to retrieve the ROI (Regions of Interest) marquee. The breast tumor contour detection is targeted on ROI, which can reduce the processing time and avoid the unwanted interference. Next, we use moment preserving to simplify the pixels on ROI image. In order to preserve the tumor information and eliminate background noise, we use histogram equalization to enhance the image of ROI and wavelet transform to estimate the initial boundary of breast tumor. By manual locating the initial seed point and using the dynamic boundary extension algorithm, we reconstruct the edge of breast tumor and calculate the total pixels inside the contour as the tumor area. A dataset of breast sonograms with the tumor contour delineated by an experienced physician is used as the standard for comparison. The total datasets of this thesis includes 138 breast sonograms, including 88 benign cases and 50 malignant cases, respectively. For feature efficacy evaluation, experimental results show that the successful identification of the breast tumor contour is up to 88%, while proposed system have the advantages of fast breast tumor contour detection and easy to find tumor area even for people lack of experience.
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7

Wu, Chung-Yao, and 吳仲堯. "Active Contour Model and Continuation Method Based Contour Model." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/dtdh67.

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碩士
大同大學
資訊工程學系(所)
102
Feature extraction methods are used in many applications, including object tracking, object segmentation, face detection and medical image analysis. Most feature extraction algorithms are designed for 2D images, not applicable for 3D models. Active contour model[1] is one such example. Bischoff et al. (2005)[2] proposed 3D active contour model on triangle meshes. However, 3D active contour model has several drawbacks. In this study, we develop a new contouring algorithm based on continuation method. Our algorithm improves the shortcomings of original 3D active contour models, and facilitate real-time feature extraction on triangle meshes. Users load a 3D model, and produce different contours with different contour functions. Our algorithm can produce contours in real-time for animation effects, and allows users to edit 3D model with contours.
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Su, Ke-Han, and 蘇科翰. "Study on Contour Error Control in Parametric Free-Form Contour Following." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/12448263382156670571.

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博士
國立成功大學
電機工程學系碩博士班
96
Reducing contour error is an important issue in multi-axis contour following tasks. To reduce contour error, this dissertation presents three different motion control schemes. First, to improve contouring accuracy, a Tangential Contouring Controller (TCC) based motion control scheme was developed. The scheme consists of a position loop controller with velocity command feedforward, a TCC, a real time contour error estimator, and a fuzzy logic based feedrate regulator. The feedrate regulator is designed to reduce contour error based on dynamic machining error information, which adaptively adjusts the desired feedrate value. The second scheme focuses on improving the machining accuracy in free-form contour following tasks. This scheme consists of a velocity command feedforward, a modified Cross-Coupled Controller (CCC), and a fuzzy logic based feedrate regulator different from the one employed in the first scheme. The feedrate regulator, which can adaptively adjust the desired feedrate to a proper value, is designed based on the dynamic machining error and curvature information. In addition, the modified CCC extends the conventional CCC to arbitrary types of contour following tasks. Finally, the third scheme, using the CCC concept as a starting point, develops a Position Error Compensator (PEC) approach to reduce contour error. The main advantage of PEC is that it can simultaneously improve tracking and contouring performance by compensating for position errors in advance. To further meet contouring accuracy and efficiency requirements, the integrated motion control scheme equipped with a fuzzy logic based feedrate regulator and PEC is developed. To test the feasibility of the proposed approaches, several parametric free-form contour following experiments were conducted, in which the position commands were generated by a real-time NURBS (Non-Uniform Rational B-Spline) interpolator. Experimental results demonstrate that all of the proposed approaches can significantly reduce contour error for biaxial contour following tasks. Additionally, the results demonstrate that the contouring efficiency and accuracy of the proposed approaches meet machining requirements.
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Chiu, Cheng-Li, and 邱正利. "Adaptive Snake Model with Automatic Force Adaptation and Contour Refinement Contour Refinement." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/43409150149162534545.

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碩士
國立嘉義大學
資訊工程學系研究所
94
Image segmentation is defined as partitioning an image into non-overlapping regions based on the intensity or texture. The active contour model (Snake model) is one of the preferred approaches for image segmentation because of their computational efficiency and simplicity. But, these methods have some problems is hard to overcome. The first problem is the concave boundary which traditional snake is impossible to capture the concave boundary of interested image region. The second problem is the background texture and noisy of image significantly influence the segmentation result. Furthermore, the model’s weight parameters are hard to design, find out the suitable parameters for each different image is a exhausted work. So most applications of snake model are domain-specific, while specifying fixed snake coefficients to an image in problem. In this paper, we propose content-triggered adaptive snake model (CASM) to lead all the parameters of snake model to be automatically adapted to various images in the noisy environment. First, the CASM applies a fast estimation method to find the possible ranges of gradient magnitudes of object boundary. As soon as the gradient magnitude of progressing snaxels falls in those ranges, CASM will adapt the weights within the snake forces of these snaxels according to encountered changes in gray levels and influences of various forces in the resided snake segments. And, it simultaneously renormalizes their external and internal forces. After primary convergence, CASM fires a compensation evolution to rectify the unqualified snaxels far from the object boundary. The unqualified snaxels, which are discovered by block-based texture analysis, can be pushed inward or pulled outward to the object border by so-called directional compensation evolution using an efficient alternative for force directions in revived evolutions. The simulation results demonstrate that CASM can improve the performance of snake very much, and outperform Gradient Vector Flow (GVF) in noisy images.
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Yang, Tzuen-Fu, and 楊尊富. "Multidimensional Contour Control Based on Equivalent Contour Error and Iterative Learning Control." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/x3k8e7.

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Books on the topic "Contour de Hankel"

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Richards, Rashna Wadia. Cinematic TV. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780190071257.001.0001.

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In the last two decades, media scholars have often suggested that television has become cinematic. Once considered “a mere instrument of transmission,” as Rudolf Arnheim put it, or derided as a vast wasteland, TV is now praised for its visual density and complexity. Serial dramas, in particular, are acclaimed for their imitations of cinema’s stylistically innovative and narratively challenging conventions. But what exactly does “cinematic TV” mean? Cinematic TV takes up this question comprehensively, arguing that TV dramas quote, copy, and appropriate (primarily) American cinema in multiple ways and toward multiple ends. Putting together an innovative framework by combining intertextuality and memory studies, Cinematic TV focuses on four modalities of intermedial borrowings: homage, evocation, genre, and parody. Through close readings of such exemplary shows as Stranger Things, Mad Men, Damages, and Dear White People, the book demonstrates how serial dramas reproduce and rework, undermine and idolize, and, in some cases, compete with and outdo cinema. Ultimately, Cinematic TV argues that serial dramas function archivally in relation to cinema, for cinematic moments, motifs, and contours hover around the televisual frame, constantly breaking through. How serial dramas handle such cinematic hauntings is the story that this book tells.
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Book chapters on the topic "Contour de Hankel"

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Richards, Rashna Wadia. "Introduction." In Cinematic TV, 1–26. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780190071257.003.0001.

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The introductory chapter creates a framework for exploring how serial television has become cinematic. It traces the evolution of television, while interrogating the implications of assuming that television advances when it approximates the features of cinema. Then, it constructs the framework of intertextuality for analyzing the varied ways in which serial dramas borrow from cinema. Some series honor or deride their cinematic sources; others offer homage or resistance not only to specific films but also to the idea of cinema in general. Instead of the standard narrative about television imitating cinema’s aesthetic status, this chapter offers a methodology for investigating how serial dramas absorb and revise (primarily) American cinema. Finally, it argues that contemporary serial television exhibits an archival relationship to cinema, for cinematic moments, motifs, and contours hover around the televisual frame, constantly breaking through. How serial dramas handle such cinematic hauntings is the story that this book tells.
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Montagnani, Maria Lillà. "The Interface Between Intellectual Property and Information Technology Law." In Handbook of Intellectual Property Research, 149–62. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198826743.003.0011.

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Over the years, intellectual property (IP) law has developed an increasingly profound link with both technological developments and the rules governing them. IP law is constantly challenged by new waves of technologies as often called to provide protection for them. At the same time, new technologies offer new ways to exploit protected works. Indeed, the more technology has become an autonomous subject matter governed by specific provisions, the more IP law has engaged in a constant dialogue with these provisions. This interaction between IP law and technology has significantly affected the contours of the field. In this chapter, I address the relationship between IP and the rules adopted to govern the specific technologies that are designed to handle information—known as ‘information technologies (IT)’. This set of provisions goes under the name of ‘IT law’. I examine the interface between IP and IT law from the standpoint of the IP scholars who have an interest in technology. In particular, I investigate how the IP/IT interface is, or could be regulated and how the rules regarding IP and IT law interact with each other. There is a circular relationship between law and technology as the former, while governing the latter, is also shaped by it and vice versa.
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Conference papers on the topic "Contour de Hankel"

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Tsai, Y. M. "Torsional Vibration of an External Circular Crack in a Transversely Isotropic Composite." In ASME 2002 Engineering Technology Conference on Energy. ASMEDC, 2002. http://dx.doi.org/10.1115/etce2002/cmda-29078.

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The forced torsional vibratory motion of an external circular crack in a transversely isotropic composite is investigated by using the method of Hankel transforms. A pair of vibratory torques of equal amplitude is applied at infinity. The infinite integral involved is evaluated through a contour integration to be discontinuous in nature. An exact expression for the dynamic stress intensity factor is obtained in terms of the frequency factor and the anisotropic material constants. The maximum value of the normalized dynamic stress-intensity factor is shown to occur at different frequency factors for the sample fiber-reinforced and metal matrix composites. The distortion of the dynamic crack surface displacement from the associated static displacement depends also on the forcing frequency and the material anisotropy.
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Tsai, Y. M. "Forced Vibrations of a Transversely Isotropic Composite Containing an External Circular Crack." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17154.

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Abstract The problem of a transversely isotropic composite containing an external circular crack is investigated using the method of Hankel transforms. A pair of tensile vibratory forces of equal amplitude are applied normal to the crack surface at infinity. A complete contour integration is employed to simplify the expressions of the results. An exact expression of the dynamic stress-intensity factor is obtained as a function of the force frequency and the anisotropic material constants. The normalized dynamic stress-intensity factor is shown to have different maximum values at different force frequencies for the sample fiber-reinforced and metal matrix composites. The deviation of the dynamic crack surface displacement from the associated static displacement is also shown to be dependent on the force frequency and the anisotropy of the material.
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Ghosh, Soumyadeep, and Soumen Bag. "An improvement on thinning to handle characters with noisy contour." In 2013 Fourth National Conference on Computer Vision, Pattern Recognition, Image Processing and Graphics (NCVPRIPG). IEEE, 2013. http://dx.doi.org/10.1109/ncvpripg.2013.6776178.

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Abouali, Omid, Mohammad M. Alishahi, Homayoon Emdad, and Goodarz Ahmadi. "A 3-D Thin Layer Navier-Stokes Code for Supersonic Laminar and Turbulent Flows." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31089.

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A 3-D Thin Layer Navier-Stokes (TLNS) code for solving viscous supersonic flows is developed. The new code uses several numerical algorithms for space and time discretization together with appropriate turbulence modeling. Roe’s method is used for discretizing the convective terms and the central differencing scheme is employed for the viscous terms. An explicit time marching technique and a finite volume space discretization are used. The developed computational model can handle both laminar and turbulent flows. The Baldwin-Lomax model and Degani-Schiff modifications are used for turbulence modeling. The computational model is applied to a hypersonic laminar flow at Mach 7.95 around a cone at different incidence angles. The circumferential pressure distribution is compared with the experimental data. The cross-sectional Mach number contours are also presented. It is shown that in addition to the outer shock, a cross-flow shock wave is also present in the flow field. The cases of supersonic turbulent flows with Mach number 3 around a tangent-ogive with incidence angles of 6° and a secant-ogive with incidence angles of 10° are also studied. The circumferential pressure distributions are compared with the experimental data and the Euler code results and good agreement is obtained. The cross-sectional Mach number contours are also presented. It is shown that in this case also in addition to the outer shock, a cross-flow shock wave is also present at the incidence angle of 10°.
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Yang, Liu, Chao Wang, Jian Zhang, Ronghua Lu, and Xinhai Yu. "Dynamic Performance of Spring-Loaded Pressure Relief Valve for High Temperature and High Pressure Steam." In ASME 2016 Fluids Engineering Division Summer Meeting collocated with the ASME 2016 Heat Transfer Summer Conference and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/fedsm2016-7609.

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In this study, the complete dynamic performance of the high temperature and high pressure steam pressure relief valve (HTHP PRV) from pop up to reseating was simulated by CFD software which combined with moving mesh capabilities and multiple domains. An experimental setup was established for the testing of HTHP PRV in accordance with the standard of ASME PTC 25. The dynamic performance of HTHP PRV was recorded accurately. For the transient simulation of HTHP PRV, a domain with opening boundaries connected to the outlet of PRV was proposed to avoid the direct definition of the pressure at the PRV outlet and handle the critical flow. It also can describe the surrounding flow field and help us to understand the influence of the PRV discharge on the environment better. The simulation results were verified by experimental ones. The resultant force on the disk and the lift were monitored and analyzed. A detailed contour of the compressible steam flowing through the HTHP PRV was obtained, including small scale flow features in the back pressure chamber. The effect of the adjusting sleeve on the dynamic performance of HTHP PRV was also investigated in details. The blowdown increases linearly by 0.163% with the adjusting sleeve moves by each millimeter in the direction of departing from the disk. This study sheds a light of understanding of the dynamic characteristics of HTHP PRV.
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Abhishek, A., Manish Kumar, and Devendra P. Garg. "Grasp Planning for a Two-Fingered Parallel-Jawed Gripper." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14654.

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The main emphasis of this paper is on grasp planning for a two-fingered parallel jawed gripper (typically used in industries) utilizing visual feedback for improved grasping for a planar object. Appropriate placement of fingers on the object plays an important role in grasp stability. This task is relatively easier for a priori-known target. But when the model of the object is not known a priori, it becomes difficult to plan the grasp and the usability of manipulator becomes limited. The main difficulty is in deciding upon the grasp points in a random object at a random location. A general approach has been presented in this paper which is applicable to any planar object. The approach uses the 2D features extracted from the image such as centroid, dimensions and principal axes to compute the grasp points' coordinates and the location of grasp axis for stability. A specialized approach is also presented which deals with objects containing only straight edges. The specialized approach utilizes Hough transform and image features in conjunction to enhance the performance of the algorithm. The proposed method can handle abrupt changes in the contour of an object as the algorithm takes object corners into account. Experiments were conducted in the laboratory to test the effectiveness of the proposed algorithm and validate the resuls.
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King, Graeme, Chris Kedge, Xuelong Zhou, and Andrzej Matuszkiewicz. "Superhigh Pressure Dense Phase Arctic Pipelines Increase Reliability and Reduce Costs." In 2002 4th International Pipeline Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/ipc2002-27302.

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Differential movement in permafrost terrain due to ground freezing or thawing challenges the reliability of buried pipelines proposed for transporting natural gas from Prudhoe Bay and the Mackenzie Delta. Arctic pipelines designed to operate at conventional pressures (that is, below 10 MPa) are susceptible to wrinkling, bulging, and ovalling due to the differential movements they cause at interfaces between frozen and unfrozen ground and between different types of soil. Arctic pipelines designed to operate at superhigh pressures—defined here as pressures above 25 MPa—can accommodate the differential movements. A fair comparison between large diameter artic pipelines with operating pressures in the range from 10 to 42 MPa was made by accurately simulating flow performance with Greenpipe’s PipeCraft™ software. For any given design flow, superhigh pressure dense phase pipelines have smaller diameters and thicker walls, making them more flexible and better able to handle differential movements. And at superhigh pressures, Joule-Thomson cooling is negligible so that flowing gas stays close to ground temperature, reducing potential for frost heave or thaw settlement in the first place. Although weight per meter of superhigh pressure pipelines is similar to conventional pressure pipelines of similar flow capacity, increased flexibility means they are easier to lift and handle during construction. They also conform more easily to the terrain, resulting in less excavation and less pipe bending to make them fit the contours of the trench. The net result is reduced construction costs. When construction, maintenance and reliability are factored into the selection process, superhigh pressure dense phase pipelines provide a cost effective option for handling the challenges of arctic environments.
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Marsh, D. D., and S. P. Vanka. "Multiscale MD/LBM Simulations of Flow in Complex Nano/Micro Channels." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38343.

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This paper examines the fluid behavior in micro and nano sized channels by using a coupled Molecular Dynamics and Lattice Boltzmann solution method, implemented in a novel fashion on a Graphics Processor. Molecular Dynamics is well known for its ability to resolve phenomena in the near wall regions, where continuum assumptions are no longer valid, at the expense of computational power. Lattice Boltzmann is a mesoscale continuum-description solver that is very efficient and reduces to the Navier-Stokes equations, thereby being a logical choice to solve regions further from the wall. This method is parallelized to be run on the Graphics Processor, using NVIDIA’s CUDA programming language. Individually, Lattice Boltzmann methods are approximately 70× faster on the GPU than a modern CPU, Molecular Dynamics is about 5× faster. Higher resolutions are able to be simulated than previously performed due to the efficiency of this implementation. We analyze the results of straight channel Poiseuille flow using the hybrid solver and note the continuum breakdown is successfully predicted by the hybrid code in the form of density oscillations near the wall along with velocity slip conditions. Streamlines, contours and velocity profiles are utilized to illustrate these points. Future work includes expanding this solver’s capability to handle complex boundaries.
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Le, Trung, Hung Vu, Tu Dinh Nguyen, and Dinh Phung. "Geometric Enclosing Networks." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. California: International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/326.

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Training model to generate data has increasingly attracted research attention and become important in modern world applications. We propose in this paper a new geometry-based optimization approach to address this problem. Orthogonal to current state-of-the-art density-based approaches, most notably VAE and GAN, we present a fresh new idea that borrows the principle of minimal enclosing ball to train a generator G\left(\bz\right) in such a way that both training and generated data, after being mapped to the feature space, are enclosed in the same sphere. We develop theory to guarantee that the mapping is bijective so that its inverse from feature space to data space results in expressive nonlinear contours to describe the data manifold, hence ensuring data generated are also lying on the data manifold learned from training data. Our model enjoys a nice geometric interpretation, hence termed Geometric Enclosing Networks (GEN), and possesses some key advantages over its rivals, namely simple and easy-to-control optimization formulation, avoidance of mode collapsing and efficiently learn data manifold representation in a completely unsupervised manner. We conducted extensive experiments on synthesis and real-world datasets to illustrate the behaviors, strength and weakness of our proposed GEN, in particular its ability to handle multi-modal data and quality of generated data.
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Busson, Antônio, Alan L. V. Guedes, and Sergio Colcher. "H.761 Support of a New concept Element and a New "recognition" Node-Event to Enable Deep Learning-based Analyses for Media-Nodes." In XXV Simpósio Brasileiro de Sistemas Multimídia e Web. Sociedade Brasileira de Computação - SBC, 2019. http://dx.doi.org/10.5753/webmedia_estendido.2019.8171.

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Machine Learning field, methods based on Deep Learning (e.g. CNN, RNN) becomes the state-of-the-art in several problems of the multimedia domain, especially in audio-visual tasks. Typically, the training of Deep Learning Methods is done in a supervised manner, and it is trained on datasets containing thousands/millions of media examples and several related concepts/classes. During training, the Deep Learning Methods learn a hierarchy of filters that are applied to input data to classify/recognize the media content. In computer vision scenario, for example, given image pixels, the series of layers of the network can learn to extract visual features from it, the shallow layers can extract lower-level features (e.g. edges, corner, contours), while the deeper combine these features to produce higher-level features (e.g. textures, part of objects). These representative features can be clustered into groups, each one representing a specific concept. H.761 NCL currently lacks support for Deep Learning Methods inside their application specification. Because those languages still focus on presentations tasks such as capture, streaming, and presentation. They do not consider programmers to describe the semantic understanding of the used media and handle recognition of such under-standing. In this proposal, we aim at extending NCL to provide such support. More precisely, our proposal able NCL application support: (1) describe learning-based on structured multimedia datasets; (2) recognize content semantics of the media elements in presentation time. To achieve such goals, we propose, an extension that includes: (a) the new "knowledge" element describe concepts based on multimedia datasets; (b) "area" anchor with an associated "recognition" event that describes when a concept occurrences in multimedia content.
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