Relevant bibliographies by topics / Transformations (Mathematics) Surfaces

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Transformations (Mathematics) Surfaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "Transformations (Mathematics) Surfaces"

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Barza, Ilie, and Dorin Ghisa. "Dynamics of dianalytic transformations of Klein surfaces." Mathematica Bohemica 129, no. 2 (2004): 129–40. http://dx.doi.org/10.21136/mb.2004.133904.

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Gong, Xianghong. "Fixed points of elliptic reversible transformations with integrals." Ergodic Theory and Dynamical Systems 16, no. 4 (1996): 683–702. http://dx.doi.org/10.1017/s0143385700009044.

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AbstractWe show that for a certain family of integrable reversible transformations, the curves of periodic points of a general transformation cross the level curves of its integrals. This leads to the divergence of the normal form for a general reversible transformation with integrals. We also study the integrable holomorphic reversible transformations coming from real analytic surfaces in ℂ2 with non-degenerate complex tangents. We show the existence of real analytic surfaces with hyperbolic complex tangents, which are contained in a real hyperplane, but cannot be transformed into the Moser—W
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Kato, Takao. "Principal transformations between Riemann surfaces." Proceedings of the Japan Academy, Series A, Mathematical Sciences 70, no. 2 (1994): 37–40. http://dx.doi.org/10.3792/pjaa.70.37.

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Ivey, Thomas A. "Helices, Hasimoto Surfaces and Bäcklund Transformations." Canadian Mathematical Bulletin 43, no. 4 (2000): 427–39. http://dx.doi.org/10.4153/cmb-2000-051-9.

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AbstractTravelling wave solutions to the vortex filament flow generated by elastica produce surfaces in ℝ3 that carry mutually orthogonal foliations by geodesics and by helices. These surfaces are classified in the special cases where the helices are all congruent or are all generated by a single screw motion. The first case yields a new characterization for the Bäcklund transformation for constant torsion curves in R3, previously derived fromthe well-known transformation for pseudospherical surfaces. A similar investigation for surfaces in H3 or S3 leads to a new transformation for constant t
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Kollár, János, and Frédéric Mangolte. "Cremona transformations and diffeomorphisms of surfaces." Advances in Mathematics 222, no. 1 (2009): 44–61. http://dx.doi.org/10.1016/j.aim.2009.03.020.

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Mitsui, Kentaro. "Logarithmic transformations of rigid analytic elliptic surfaces." Mathematische Annalen 355, no. 3 (2012): 1123–70. http://dx.doi.org/10.1007/s00208-012-0813-1.

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Blanc, Jérémy, and Serge Cantat. "Dynamical degrees of birational transformations of projective surfaces." Journal of the American Mathematical Society 29, no. 2 (2015): 415–71. http://dx.doi.org/10.1090/jams831.

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Popov, A. G., and O. D. Viktorova. "Bäcklund transformations and two-soliton pseudospherical surfaces." Journal of Mathematical Sciences 174, no. 6 (2011): 663–74. http://dx.doi.org/10.1007/s10958-011-0324-8.

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BOULANGER, ADRIEN, CHARLES FOUGERON, and SELIM GHAZOUANI. "Cascades in the dynamics of affine interval exchange transformations." Ergodic Theory and Dynamical Systems 40, no. 8 (2019): 2073–97. http://dx.doi.org/10.1017/etds.2018.141.

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We describe in this article the dynamics of a one-parameter family of affine interval exchange transformations. This amounts to studying the directional foliations of a particular dilatation surface introduced in Duryev et al [Affine surfaces and their Veech groups. Preprint, 2016, arXiv:1609.02130], the Disco surface. We show that this family displays various dynamical behaviours: it is generically dynamically trivial but for a Cantor set of parameters the leaves of the foliations accumulate to a (transversely) Cantor set. This study is achieved through analysis of the dynamics of the Veech g
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Gastesi, Pablo Arés. "Some results on Teichmüller spaces of Klein surfaces." Glasgow Mathematical Journal 39, no. 1 (1997): 65–76. http://dx.doi.org/10.1017/s001708950003192x.

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The deformation theory of nonorientable surfaces deals with the problem of studying parameter spaces for the different dianalytic structures that a surface can have. It is an extension of the classical theory of Teichmüller spaces of Riemann surfaces, and as such, it is quite rich. In this paper we study some basic properties of the Teichmüller spaces of non-orientable surfaces, whose parallels in the orientable situation are well known. More precisely, we prove an uniformization theorem, similar to the case of Riemann surfaces, which shows that a non-orientable compact surface can be represen
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Dissertations / Theses on the topic "Transformations (Mathematics) Surfaces"

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AIGON, Aline. "Transformations hyperboliques et courbes algebriques en genre 2 et 3." Phd thesis, Université Montpellier II - Sciences et Techniques du Languedoc, 2001. http://tel.archives-ouvertes.fr/tel-00001154.

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Le théorème<br />d'uniformisation de Poincaré-Koebe permet d'affirmer que toute<br />surface de Riemann compacte de genre $g>1$ est un quotient du<br />demi-plan de Poincaré par un groupe Fuchsien.<br /> D'un autre coté, une surface de Riemann est aussi une courbe algébrique<br />complexe. En genres 2 et 3, ces courbes peuvent toujours être<br />réalisées comme des courbes planes, i.e l'ensemble des zeros<br />d'une équation polynomiale homogène à coefficients complexes<br />$P(x,y,z)=0$.<br /><br />Dans cette thèse, on s'intéresse au lien explicite entre ces deux<br />descriptions pour les su
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Dedieu, Thomas. "Auto-transformations et géométrie des variétés de Calabi-Yau." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2008. http://tel.archives-ouvertes.fr/tel-00358735.

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Cette thèse est constituée de deux parties.<br>Dans la première, je démontre que si certaines variétés de Severi universelles, qui paramètrent les courbes nodales de degré et de genre fixés existant sur une surface K3, sont irréductibles, alors une surface K3 projective générique ne possède pas d'endomorphisme rationnel de degré >1. J'établis également un certain nombre de contraintes numériques satisfaites par ces endomorphismes.<br>Voisin a modifié la pseudo-forme volume de Kobayashi en introduisant les K-correspondances holomorphes. Dans la seconde partie, j'étudie une version logarithmique
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Bilgot, Anne. "Méthodes locales d'identification de surfaces de discontinuité à partir de projections tronquées pour l'imagerie interventionnelle." Phd thesis, Université Joseph Fourier (Grenoble), 2007. http://tel.archives-ouvertes.fr/tel-00303324.

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Ce mémoire présente des algorithmes de reconstruction conçus pour le développement de nouveaux systèmes d'imagerie par rayons X adaptés aux contraintes du bloc opératoire, notamment pour guider des interventions orthopédiques telles que le vissage pédiculaire. Après une présentation du contexte médical et technologique, nous rassemblons les principaux résultats de tomographie 2D permettant de comprendre les spécificités des problèmes de tomographie à données tronquées ; le comportement souvent très satisfaisant de la méthode de rétroprojection filtrée, d'ordinaire ignoré en tomographie locale,
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Militon, Emmanuel. "Fragmentation et propriétés algébriques des groupes d'homéomorphismes." Phd thesis, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00752638.

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Dans cette thèse, nous nous intéressons à diverses propriétés algébriques des groupes d'homéomorphismes et de difféomorphismes de variétés. On appelle fragmentation la possibilité d'écrire un homéomorphisme en tant que composé d'homéomorphismes supportés dans des boules. Tout d'abord, nous étudions la longueur des commutateurs sur le groupe des homéomorphismes du tore et de l'anneau, ainsi que la norme de fragmentation, qui associe à tout homéomorphisme le nombre minimal de facteurs nécessaires pour écrire cet homéomorphisme en tant que composé d'homéomorphismes supportés dans des boules. Dans
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Georgiev, Georgi H. [Verfasser]. "Geometric Transformations for Modeling of Curves and Surfaces / Georgi H. Georgiev." Aachen : Shaker, 2012. http://d-nb.info/1069048828/34.

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Delecroix, Vincent. "Combinatoire et dynamique du flot de Teichmüller." Phd thesis, Université de la Méditerranée - Aix-Marseille II, 2011. http://tel.archives-ouvertes.fr/tel-00653165.

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Ce travail de thèse porte sur la dynamique du flot linéaire des surfaces de translation et de sa renormalisation par le flot de Teichmüller introduite par H. Masur et W. Veech en 1982. Une version combinatoire de cette renormalisation, l'induction de Rauzy sur les échanges d'intervalles, fût introduite auparavant par G. Rauzy en 1979. D'une part, nous faisons une étude combinatoire des classes de Rauzy qui forment une partition de l'ensemble des permutations irréductibles et interviennent dans l'algorithme d'induction de Rauzy. Nous donnons une formule pour la cardinalité de chaque classe. D'a
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Decoene, Astrid. "Modèle hydrostatique pour les écoulements à surface libre tridimensionnels et schémas numériques." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2006. http://tel.archives-ouvertes.fr/tel-00180003.

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Cette thèse a pour objectif l'approfondissement de l'étude des équations régissant les écoulements à surface libre en dimension trois.<br />Nous proposons d'une part une nouvelle formulation variationnelle du problème hydrostatique aboutissant à un problème semi-discretisé en temps bien posé. Nous en faisons l'analyse mathématique et nous montrons quelques résultats numériques obtenus après programmation de l'approximation de ce problème dans le logiciel Telemac-3D développé au Laboratoire National d'Hydraulique et Environnement (LNHE) d'edf.<br />D'autre part, nous étudions la réinterprétatio
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Heller, Ulrich. "Construction, transformation, and visualization of Willmore surfaces." 2002. https://scholarworks.umass.edu/dissertations/AAI3068566.

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In this thesis we construct Willmore surfaces in [special characters omitted] and discuss their transformation and visualization. Analytic work and numerical solutions are presented along with the underlying algorithms.
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Lewis, Mark. "Spectral techniques for roughness estimation." Thesis, 2001. http://hdl.handle.net/10413/4697.

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Roughness is a relatively untouched field considering its significance to natural scientists. In this thesis mathematical techniques for measuring the roughness of signals are constructed and investigated. Both one dimensional and two dimensional signals are tackled. Applications include geological profiles and biological surfaces. Mathematical techniques include Fourier and Wavelet Transforms.<br>Thesis (M.Sc.)-University of Natal, Durban, 2001.
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Bertrand, Sébastien. "Extensions supersymétriques des équations structurelles des supervariétés plongées dans des superespaces." Thèse, 2017. http://hdl.handle.net/1866/20582.

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Books on the topic "Transformations (Mathematics) Surfaces"

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Hayami, K. A projection transformation method for nearly singular surface boundary element integrals. Springer-Verlag, 1992.

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Kumar, Vijay. Frontiers in Materials Modelling and Design: Proceedings of the Conference on Frontiers in Materials Modelling and Design, Kalpakkam, 20-23 August 1996. Springer Berlin Heidelberg, 1998.

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Dubrovin, B. A., A. T. Fomenko, and S. P. Novikov. Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields (Graduate Texts in Mathematics). Springer, 1991.

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1915-, Turnbull David, Cargill G. Slade, Spaepen Frans, and Tu K. N. 1937-, eds. Phase transitions in condensed systems: Experiments and theory : festschrift in honor of David Turnbull on the occasion of his seventieth birthday : symposium held December 5-6, 1985, Boston, Massachusetts, U.S.A. Materials Research Society, 1987.

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Tu, King-Ning, G. Slade Cargill, and Frans Spaepen. Phase Transitions in Condensed Systems, Experiments and Theory (Materials Research Society Symposia Proceedings, Vol 57). Materials Research Society, 1987.

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Book chapters on the topic "Transformations (Mathematics) Surfaces"

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Aubert, Antoine, Dominique Jeulin, and Ronaldo Hashimoto. "Surface Texture Classification from Morphological Transformations." In Mathematical Morphology and its Applications to Image and Signal Processing. Springer US, 2002. http://dx.doi.org/10.1007/0-306-47025-x_28.

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Bartoň, Michael, Bert Jüttler, and Wenping Wang. "Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations." In Mathematical Methods for Curves and Surfaces. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11620-9_2.

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Ostwald, Michael J. "Ethics and Geometry: Computational Transformations and the Curved Surface in Architecture." In Architecture and Mathematics from Antiquity to the Future. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-00143-2_43.

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Haneke, M., and K. Steinberger. "Lokale interaktive Benutzeroberfläche zum RT ONE/380 ILTIS (Interactive Local Transformation and Illumination of Surfaces)." In Visualisierung in Mathematik und Naturwissenschaften. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83809-5_4.

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Yuzhakov, Sergey. "Reproduction of Images of Convex Figures by a Set of Stored Reference Surfaces." In Handbook of Research on Intelligent Data Processing and Information Security Systems. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1290-6.ch011.

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Image processing is one of the important tasks of creating artificial intelligence. The methods for digital images processing are widely used by developers at this time. The parallel shift technology makes it possible to create alternative ways of describing and processing images. It involves the transformation of images not into a set of pixels, but into a set of functions that are organized in a certain way. The completeness of the system is determined by the ability to perform some basic tasks. Image processing includes image pre-processing, video data storage, various image manipulations, images restoration. This chapter discusses a mathematical model for the recovery of flat convex binary images. Images are restored on the basis of data generated by an image processing system based on parallel shift technology. Two methods are provided for determining the imaging area.
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Berressem, Hanjo. "Philosophical Times and Spaces." In Gilles Deleuze's Luminous Philosophy. Edinburgh University Press, 2020. http://dx.doi.org/10.3366/edinburgh/9781474450713.003.0004.

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In luminist and cinematic registers, the chapter first explicates Deleuze’s complementary chronologics of Aion and Chronos. While durational Aion is the time of luminist glow, flickering Chronos is the time of strobe light: wave and particle. Shifting from time to space, the chapter then addresses Deleuze’s topologics. After introducing the notion of fractal space in terms of Deleuze’s notion of becoming-imperceptible, it delineates, via Leibniz’ images of the baroque house and the camera obscura, Deleuze’s transformation of the spatial dualism of light surface and dark depth into the luminous space of a fractal chiaroscuro, and it shows how Deleuze’s luminous philosophy resonates with Leibniz’ proposition that monads, as points or centres of light, have a luminous nature. After explicating the mathematical concept of the ‘real projective plane,’ the chapter argues that Deleuze’s shift from a Cartesian to a projective topology of thought is fundamental for an understanding of his philosophy.
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Conference papers on the topic "Transformations (Mathematics) Surfaces"

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CHEN, JIANHUA, and WEIHUAN CHEN. "THE MÖBIUS EQUIVALENT ISOTHERMIC SURFACES IN S3(1) AND BÄCKLUND TRANSFORMATIONS." In Proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776419_0001.

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Wang, Liping, Don Beeson, Srikanth Akkaram, and Gene Wiggs. "Gaussian Process Meta-Models for Efficient Probabilistic Design in Complex Engineering Design Spaces." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85406.

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Probabilistic design in complex design spaces is often a computationally expensive and difficult task because of the highly nonlinear and noisy nature of those spaces. Approximate probabilistic methods, such as, First-Order Second-Moments (FOSM) and Point Estimate Method (PEM) have been developed to alleviate the high computational cost issue. However, both methods have difficulty with non-monotonic spaces and FOSM may have convergence problems if noise on the space makes it difficult to calculate accurate numerical partial derivatives. Use of design and Analysis of Computer Experiments (DACE)
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Hennessey, Michael P., Alex J. Beaulier, and Cheri Shakiban. "Modeling and 3D Printing of Ruled Surfaces." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46494.

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Ruled surfaces play an important role in disciplines such as applied mathematics, mechanical engineering, and architecture. We present a general methodology for creating handheld-sized 3D printed models of such surfaces, which can be useful for educational, research, and design purposes. The process begins with a mathematical description of the surface, either by means of establishing a series of line segment endpoint coordinates followed by a “connect the dots” approach or continuously sweeping a portion of a line throughout 3D space using a time-varying homogeneous transformation, thereby de
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Yin, Jinxiang, and Guanlong Chen. "A Novel Approach to Preserving Geometric Constraints in Curve/Surface MRA Modeling." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57736.

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MRA editing destroys the geometric constraints of curves/surfaces, a high efficient algorithm called wavelet signal separation to preserve geometric constraints during wavelet transformation in MRA modeling is proposed in this paper. The algorithm divides the B-spline control points into those associated and those unassociated with the geometric constraints. Through preserving the signal information associated with the constraint control points, the geometric constraints can be directly preserved after wavelet transformation. The detailed mathematics for this approach is presented. Different e
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Yan, Hong-Sen, and Hsin-Hung Chen. "Geometry Design of Roller Gear Cams With Generalized Meshing Elements." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0096.

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Abstract This paper derives the generalized expression of surface equation for cylindrical, conical, and hyperbolic meshing elements. Based on the generalized equation of meshing elements, generalized mathematical expressions of surface geometry for roller gear cams with cylindrical, conical, and hyperbolic meshing elements are derived by theory of conjugate surfaces, differential geometry, and coordinate transformation. Design examples are given. The result of this work is of necessary for the computer-aided design and manufacturing roller gear cams for industrial applications.
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Babuk, V. A., N. L. Budnyi, and A. A. Nizyaev. "Mathematical modeling of agglomerates evolution." In Progress in Propulsion Physics – Volume 11. EDP Sciences, 2019. http://dx.doi.org/10.1051/eucass/201911131.

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The model of evolution of the condensed products as a part of a flow of combustion products of solid propellant is developed. The model includes the description of physical and chemical transformations for two basic fractions of the condensed products: agglomerates and smoke oxide particles (SOPs). Model testing is carried out using experimental data about evolution of the condensed products for two compositions in the conditions of a one-dimensional flow. These compositions differ considerably in properties of combustion products at a surface of burning propellant. The results of testing give
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Desrochers, Alain. "Modeling Three Dimensional Tolerance Zones Using Screw Parameters." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8587.

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Abstract This paper presents a mathematical representation of the three dimensional tolerance zones defined in the ANSI Y14.5 M standard. The tolerance zone models are based on the small displacement screw which is a screw parameter expressing first order approximation of traditional homogeneous transformation matrix. Modeling of datum system and complex surface association is also taken into account as well as modeling of multiple tolerance specifications and material modifiers. Application of the representation model is presented on a simple tolerance transfer case where emphasis is put on t
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Kang, Yaw-Hong, Feng-Chi Wu, Hong-Yih Cheng, and Hong-Sen Yan. "On the Surface Geometry of Variable Pitch Cylindrical Cams With Hyperboloidical Meshing Elements." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0249.

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Abstract The hyperpoloid of revolution is a kind of skew surface that has engineering applications. Based on differential geometry, theory of gearing, and coordinate transformation, this paper derive mathematical equations of the geometric profiles of a double threaded variable pitch cylindrical cams with four hyperboloidical meshing elements. And based on the developed surface equations, we develope a computer program for solid modeling to simulate the surface geometry. Two examples are given to prove the derived equations.
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Bettig, Bernie, and Jami Shah. "Systematic Derivation of a Standard Set of Declarative Constraints for Shape Definition in CAD." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/cie-9113.

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Abstract This paper describes the derivation of a consistent and comprehensive set of geometrical constraints for shape definition in Computer-Aided Design. These are needed to enable compatibility in parametric data exchange and to promote both standard capabilities and predictable solutions from constraint solving software kernels. The paper look at the mathematical basis for constraints present in the literature and elaborates about all types of constraints that can be described by the same mathematical basis. The approach considers all combinations of distance and angle constraints, on one
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Razelos, Panagiotis. "Fundamental Concepts and an Innovating Approach for Extended Surface Heat Transfer." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-83057.

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In this work we re-examine the main fin equation qf = ηfAfΔT, proposed by Gardner [1] that has been used for the last sixty years to determine the performance of fins. The fundamental concepts of extended surface heat transfer are introduced, and their mathematical expressions are derived. The vital role of fin effectiveness, a term also introduced by Gardner [1] is established. It is shown that the effectiveness is inextricably linked in proving the validity of the simplifying assumptions that most of the fins’ endeavors are based on. It is also shown that the common practice of using the eff
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