Relevant bibliographies by topics / Transformation invariance

Contents

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

Academic literature on the topic 'Transformation invariance'

Author: Grafiati
Published: 10 December 2022
Last updated: 25 July 2025

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Journal articles on the topic "Transformation invariance"

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Wagner, Jenny. "Generalised model-independent characterisation of strong gravitational lenses." Astronomy & Astrophysics 620 (December 2018): A86. http://dx.doi.org/10.1051/0004-6361/201834218.

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Based on the standard gravitational lensing formalism with its effective, projected lensing potential in a given background cosmology, we investigated under which transformations of the source position and of the deflection angle the observable properties of the multiple images remain invariant. These observable properties are time delay differences, the relative image positions, relative shapes, and magnification ratios. As they only constrain local lens properties, we derive general, local invariance transformations in the areas covered by the multiple images. We show that the known global i
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DAS, ASHOK, and MARCELO HOTT. "CHIRAL INVARIANCE OF MASSIVE FERMIONS." Modern Physics Letters A 09, no. 24 (1994): 2217–25. http://dx.doi.org/10.1142/s0217732394002070.

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We show that a massive fermion theory, while not invariant under the conventional chiral transformation, is invariant under a m-deformed chiral transformation. These transformations and the associated conserved charges are nonlocal but reduce to the usual transformations and charges when m=0. The m-deformed charges commute with helicity and satisfy the conventional chiral algebra.
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Miao, Xu, and Rajesh P. N. Rao. "Learning the Lie Groups of Visual Invariance." Neural Computation 19, no. 10 (2007): 2665–93. http://dx.doi.org/10.1162/neco.2007.19.10.2665.

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A fundamental problem in biological and machine vision is visual invariance: How are objects perceived to be the same despite transformations such as translations, rotations, and scaling? In this letter, we describe a new, unsupervised approach to learning invariances based on Lie group theory. Unlike traditional approaches that sacrifice information about transformations to achieve invariance, the Lie group approach explicitly models the effects of transformations in images. As a result, estimates of transformations are available for other purposes, such as pose estimation and visuomotor cont
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CHIMENTO, LUIS P., and WINFRIED ZIMDAHL. "DUALITY INVARIANCE AND COSMOLOGICAL DYNAMICS." International Journal of Modern Physics D 17, no. 12 (2008): 2229–54. http://dx.doi.org/10.1142/s0218271808013820.

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A duality transformation that interrelates expanding and contracting cosmological models is shown to single out a duality invariant, interacting two-component description of any irrotational, geodesic and shear-free cosmic medium with vanishing three-curvature scalar. We have applied this feature to a system of matter and radiation, to a mixture of dark matter and dark energy, to minimal and conformal scalar fields, and to an enlarged Chaplygin gas model of the cosmic substratum. We have extended the concept of duality transformations to cosmological perturbations and demonstrated the invarian
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HO, S. H. "ALTERNATIVE CONFORMAL QUANTUM MECHANICS." International Journal of Modern Physics A 26, no. 16 (2011): 2735–42. http://dx.doi.org/10.1142/s0217751x11053547.

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We investigate a one-dimensional quantum mechanical model, which is invariant under translations and dilations but does not respect the conventional conformal invariance. We describe the possibility of modifying the conventional conformal transformation such that a scale invariant theory is also invariant under this new conformal transformation.
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Perju, Veaceslav, and Vladislav Cojuhari. "CENTRAL AND LOGARITHMIC CENTRAL IMAGE CHORD TRANSFORMATIONS FOR INVARIANT OBJECT RECOGNITION." Journal of Engineering Science XXVIII (1) (March 15, 2021): 38–46. https://doi.org/10.52326/jes.utm.2021.28(1).03.

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Pattern descriptors invariant to rotation, scaling, and translation represents an important direction in the elaboration of the real time object recognition systems. In this article, the new kinds of object descriptors based on chord transformation are presented. There are described new methods of image presentation - Central and Logarithmic Central Image Chord Transformations (CICT and LCICT). It is shown that the CICT operation makes it possible to achieve invariance to object rotation. In the case of implementation of the LCICT transformation, invariance to changes in the rotation and scale
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Salosin, Evgeny Georgievich. "LORENTZ TRANSFORMATION CHANGE." Globus 8, no. 1(66) (2022): 36–40. http://dx.doi.org/10.52013/2658-5197-66-1-9.

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For relativistic velocities, Galileo’s principle of addition of four-dimensional velocities is valid, and not the Lorentz transformation. In this case, it is impossible to write down the law of conservation of energy with Newton’s potential using the Lorentz transformation. And with the proposed transformation it is possible. In addition, the invariance of the wave equation with respect to the Galilean transformation with four-dimensional velocity is obtained. The GR equation is also invariant under the Galileo transformations of the four-vector. This transformation is a more general case of i
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King, J. R. "Local transformations between some nonlinear diffusion equations." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 33, no. 3 (1992): 321–49. http://dx.doi.org/10.1017/s0334270000007074.

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AbstractWe derive local transformations mapping radially symmetric nonlinear diffusion equations with power law or exponential diffusivities into themselves or into other equations of a similar form. Both discrete and continuous transformations are considered. For the cases in which a continuous transformation exists, many additional forms of group-invariant solution may be constructed; some of these solutions may be written in closed form. Related invariance properties of some multidimensional diffusion equations are also exploited.
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Földiák, Peter. "Learning Invariance from Transformation Sequences." Neural Computation 3, no. 2 (1991): 194–200. http://dx.doi.org/10.1162/neco.1991.3.2.194.

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The visual system can reliably identify objects even when the retinal image is transformed considerably by commonly occurring changes in the environment. A local learning rule is proposed, which allows a network to learn to generalize across such transformations. During the learning phase, the network is exposed to temporal sequences of patterns undergoing the transformation. An application of the algorithm is presented in which the network learns invariance to shift in retinal position. Such a principle may be involved in the development of the characteristic shift invariance property of comp
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HAMMOND, RICHARD T. "THE NECESSITY OF TORSION IN GRAVITY." International Journal of Modern Physics D 19, no. 14 (2010): 2413–16. http://dx.doi.org/10.1142/s0218271810018554.

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It is shown that torsion is required for a complete theory of graviation, and that without it, the equations of gravitation violate fundamental laws. In the first case, we are reminded that, in the absence of external forces, the correct conservation law of total angular momentum arises only if torsion, whose origin is intrinsic spin, is included into gravitation. The second case considers the "mass reversal" transformation. It has been known that under a global chiral transformation and "mass to negative mass" transformation, the Dirac equation is invariant. But global transformations violate
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Dissertations / Theses on the topic "Transformation invariance"

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Petiteau, David. "Ingénierie de métamatériaux thermiques : transformations d'espace et techniques d'homogénéisation appliquées à l'équation de la chaleur." Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4341.

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La communauté des métamatériaux est entrée en effervescence depuis la publication de deux articles de Science en 2006 par Pendry et Leonhardt dans lesquels il est proposé de réaliser des systèmes exotiques tels que les capes d’invisibilité par transformation d’espace. En effet, l’invariance de forme des équations de Maxwell permet une équivalence entre géométrie déformée et présence d’un matériau aux propriétés particulières. Depuis, de nombreux exemples expérimentaux ont montré la faisabilité de tels systèmes transformés. L’invariance de forme se retrouve également dans d’autres phénomènes ph
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AGHANNAN, Nasradine. "Contrôle de réacteurs de polymérisation, Observateur et Invariance." Phd thesis, École Nationale Supérieure des Mines de Paris, 2003. http://tel.archives-ouvertes.fr/tel-00006598.

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Cette thèse s'est construite avec une approche double, à la fois théorique et pratique. D'un coté, nous avons mené un travail de régulation sur des réacteurs de polymérisation de la société ATOFINA. De l'autre, nous avons développé des observateurs asymptotiques pour des systèmes nonlinéaires présentant des symétries.<br /><p><br />Le travail de régulation concernait des réacteurs tubulaires en boucle, fonctionnant en phase liquide. Nous avons à partir des lois de conservation de masse et d'énergie, établis des modèles. Ces derniers étant nonlinéaires, nous avons utilisé des techniques de cont
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Ngo, Hoai Diem Phuc. "Rigid transformations on 2D digital images : combinatorial and topological analysis." Thesis, Paris Est, 2013. http://www.theses.fr/2013PEST1091/document.

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Dans cette thèse, nous étudions les transformations rigides dans le contexte de l'imagerie numérique. En particulier, nous développons un cadre purement discret pour traiter ces transformations. Les transformations rigides, initialement définies dans le domaine continu, sont impliquées dans de nombreuses applications de traitement d'images numériques. Dans ce contexte, les transformations rigides digitales induites présentent des propriétés géométriques et topologiques différentes par rapport à leurs analogues continues. Afin de s'affranchir des problèmes inhérents à ces différences, nous prop
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Borgnat, Pierre. "Modèles et outils pour les invariances d'échelle brisées : variations sur la transformation de Lamperti et contributions aux modèles statistiques de vortex en turbulence." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2002. http://tel.archives-ouvertes.fr/tel-00005246.

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La transformation de Lamperti, connue pour mettre en correspondance les<br />processus stationnaires et les processus auto-similaires, nous permet<br />d'aborder de manière générale la description des propriétés en échelle<br />de problèmes physiques ou de signaux stochastiques. La notion d'échelle<br />pertinente est montrée être celle construite sur les décompositions de Mellin<br />et nous utilisons l'idée de la correspondance de Lamperti pour<br />étudier les propriétés des processus auto-similaires à l'aide des outils<br />de l'analyse du signal stationnaire. D'autre part l'outil est géné
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Trabelsi, Hafedh. "Etude comparée de l'enseignement de la théorie de la relativité dans le secondaire en physique et en philosophie, en France, en Italie et en Tunisie : apport de l'histoire des sciences à son enseignement." Thesis, Aix-Marseille, 2019. http://www.theses.fr/2019AIXM0518.

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L’enseignement de la théorie de la relativité restreinte a été éliminé des programmes officiels des sciences physiques tunisiens dans le secondaire depuis 1998, quatre ans après son introduction. Or son enseignement existe depuis longtemps dans les programmes officiels italiens au secondaire et a été réintroduit depuis 2011 dans les programmes officiels français. Alors comment réintroduire cette théorie qui constitue une partie de la physique contemporaine dans les programmes officiels tunisiens en physique, à un moment où la Tunisie et en pleine réforme éducative? Nous avons développé une étu
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Lindeberg, Tony. "Scale Selection Properties of Generalized Scale-Space Interest Point Detectors." KTH, Beräkningsbiologi, CB, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-101220.

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Scale-invariant interest points have found several highly successful applications in computer vision, in particular for image-based matching and recognition. This paper presents a theoretical analysis of the scale selection properties of a generalized framework for detecting interest points from scale-space features presented in Lindeberg (Int. J. Comput. Vis. 2010, under revision) and comprising: an enriched set of differential interest operators at a fixed scale including the Laplacian operator, the determinant of the Hessian, the new Hessian feature strength measures I and II and the rescal
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kestener, pierre. "Analyse multifractale 2D et 3D à l'aide de la transformation en ondelettes : application en mammographie et en turbulence développée." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2003. http://tel.archives-ouvertes.fr/tel-00004013.

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Depuis une dizaine d'années, la transformée en ondelettes a été reconnue comme un outil privilégié d'analyse des objets fractals, en permettant de définir un formalisme multifractal généralisé des mesures aux fonctions. Dans une première partie, nous utilisons la méthode MMTO (Maxima du Module de la Transformée en Ondelettes) 2D, outil d'analyse multifractale en traitement d'images pour étudier des mammographies. On démontre les potentialités de la méthode pour le problème de la segmentation de texture rugueuse et la caractérisation géométrique d'amas de microcalcifications, signes précoces d'
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McGlinchey, Stephen John. "Transformation-invariant topology preserving maps." Thesis, University of the West of Scotland, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.311794.

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Letellier, Emmanuel. "Transformation de Fourier des fonctions invariantes sur une algèbre de Lie finie." Paris 6, 2003. http://www.theses.fr/2003PA066191.

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Aparajeya, Prashant. "Medialness-based shape invariant feature transformation." Thesis, Goldsmiths College (University of London), 2016. http://research.gold.ac.uk/19340/.

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This research is about the perception-based medial point description of a natural form (2D static or in movement) as a generic framework for a part-based shape representation, which can then be efficiently used in biological species identification, as well as more general pattern matching and shape movement tasks. We consider recent studies and results in cognitive science that point in similar directions in emphasizing the likely importance of medialness as a core feature used by humans in perceiving shapes in static or dynamic situations. This leads us to define an algorithmic chain composed
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Books on the topic "Transformation invariance"

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Seshadri, R. Group invariance in engineering boundary value problems. Springer-Verlag, 1985.

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Seshadri, R. Group Invariance in Engineering Boundary Value Problems. Springer New York, 1985.

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Barndorff-Nielsen, Ole E., Preben Blæsild, and Poul Svante Eriksen. Decomposition and Invariance of Measures, and Statistical Transformation Models. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3682-5.

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Barndorff-Nielsen, O. E. Decomposition and invariance of measures, and statistical transformation models. Springer-Verlag, 1989.

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I, Shishorina O., Frolov K. V, Kochin N. E. 1901-1944, Institut prikladnoĭ ėkologii Severa (Akademii͡a︡ nauk Respubliki Sakha (I͡A︡kutii͡a︡)), and Moscow Engineering-Physical Institute (Technical University), eds. On the way to mathematical simplicity of nature: Proportionality, invariance, similarity. "Nauka", 1998.

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Nillsen, Rodney. Difference spacesand invariant linear forms. Springer-Verlag, 1994.

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1944-, Kraft Hanspeter, Slodowy Peter, Springer T. A, and Deutsche Mathematiker-Vereinigung, eds. AlgebraischeTransformationsgruppen und Invariantentheorie =: Algebraic transformation groups and invariant theory. Birkhäuser, 1989.

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Trione, Susana Elena. Transformadas de Laplace de funciones retardadas--invariantes Lorentz. Departamento de Matematica, Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, 1985.

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L, Popov V., and Erwin Schrödinger International Institute for Mathematical Physics., eds. Algebraic transformation groups and algebraic varieties: Proceedings of the conference Interesting algebraic varieties arising in algebraic transformation group theory held at the Erwin Schrödinger Institute, Vienna, October 22-26, 2001. Springer, 2004.

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Gardner, Robert B. The method of equivalence and its applications. Society for Industrial and Applied Mathematics, 1989.

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Book chapters on the topic "Transformation invariance"

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Barndorff-Nielsen, Ole E., Preben Blæsild, and Poul Svante Eriksen. "Statistical transformation models." In Decomposition and Invariance of Measures, and Statistical Transformation Models. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3682-5_8.

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Pardo, María José, and David de la Fuente. "Uncertainty Invariance Transformation in Continuous Case." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14746-3_61.

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Seshadri, R., and T. Y. Na. "Concepts of Continuous Transformation Groups." In Group Invariance in Engineering Boundary Value Problems. Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-5102-6_2.

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Seshadri, R., and T. Y. Na. "From Nonlinear to Linear Differential Equations using Transformation Groups." In Group Invariance in Engineering Boundary Value Problems. Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-5102-6_10.

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Barndorff-Nielsen, Ole E., Preben Blæsild, and Poul Svante Eriksen. "Invariant, relatively invariant, and quasi-invariant measures." In Decomposition and Invariance of Measures, and Statistical Transformation Models. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3682-5_4.

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Seshadri, R., and T. Y. Na. "Transformation of a Boundary Value Problem to an Initial Value Problem." In Group Invariance in Engineering Boundary Value Problems. Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-5102-6_9.

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Adachi, Fuminori, Takashi Washio, Hiroshi Motoda, Atsushi Fujimoto, and Hidemitsu Hanafusa. "Development of Generic Search Method Based on Transformation Invariance." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39592-8_69.

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Jona-Lasinio, Giovanni. "Spontaneous Symmetry Breaking in Particle Physics." In Springer Proceedings in Physics. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-23042-4_17.

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AbstractI will review the appearance of spontaneous symmetry breaking (SSB) in particle physics at the end of the fifties and beginning of the sixties of the XXth century. I will recall Heisenberg non-linear spinor theory and the genesis of the first model (NJL) of fermion mass generation developed in collaboration with Yoichiro Nambu, based on the idea of spontaneous symmetry breaking. Both the non-linear spinor theory and the NJL model are invariant under a chiral transformation ($$\gamma _5$$ γ 5 —invariance) which was introduced by Bruno Touschek in 1957 and named by Heisenberg the Tousche
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Xu, Liu-Jun, and Ji-Ping Huang. "Theory for Thermoelectric Effect Control: Transformation Nonlinear Thermoelectricity." In Transformation Thermotics and Extended Theories. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-5908-0_4.

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AbstractTemperature-dependent (nonlinear) transformation thermotics provides a powerful tool for designing multifunctional, switchable, or intelligent metamaterials in diffusion systems. However, its extension to multiphysics remains studied, in which the temperature dependence of intrinsic parameters is ubiquitous. Here, we theoretically establish a temperature-dependent transformation method for controlling multiphysics. Taking thermoelectric transport as a typical case, we prove the form invariance of its temperature-dependent governing equations and formulate the corresponding transformati
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Yang, Fu-Bao, and Ji-Ping Huang. "Transformation Thermotics and Effective Medium Theory for Thermal Conduction." In Diffusionics. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-0487-3_4.

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AbstractIn this Chapter, we embark on an exploration of the intricacies of heat conduction, primarily delving into the transformation thermotics and the effective medium theory. Beginning with the foundational Fourier’s law of heat conduction, an intriguing observation is the form invariance of the associated equations under arbitrary coordinate transformations. This symmetry elucidates a novel method for orchestrating the temperature field and heat flux dynamics. To illustrate the practical implications and operationalizability of the thermal transformation, we conceptualized and implemented
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Conference papers on the topic "Transformation invariance"

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de Lima, Daniel V., João Paulo J. da Costa, Antonio Arlis S. da Silva, Giovanni A. Santos, José Alfredo R. Vargas, and Auzuir R. de Alexandria. "Broadband Beamforming via Frequency Invariance Transformation and PARAFAC Decomposition for Jamming Mitigation in V2X Scenarios." In 2024 IEEE 99th Vehicular Technology Conference (VTC2024-Spring). IEEE, 2024. http://dx.doi.org/10.1109/vtc2024-spring62846.2024.10683458.

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Ritcey, James A., L. E. Atlas, R. J. Marks, D. C. Park, and S. Oh. "Parametric transformation." In OSA Annual Meeting. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/oam.1988.fk2.

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The parametric transformation is investigated to achieve invariance in optical pattern recognition. Two or more appropriately chosen feature vectors are parametrically combined to form a training vector. If chosen correctly, the training vector can be invariant under operations such as shift, scale, and transposition. As a simple and pedagogical shift-invariant example, consider a signal X(t) and its low- and high-pass-filtered versions, XLP(t) and xHP(t). Visualize a template formed by a parametric plot of these two functions on the (XLP, xhp) plane. Consider a shifted signal, X ^ ( t ) = X (
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Thompson, Robert T., and Mohsen Fathi. "Coordinate invariance in transformation optics." In 2015 9th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS). IEEE, 2015. http://dx.doi.org/10.1109/metamaterials.2015.7342501.

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Jahns, Jurgen. "Shift-invariant binary signal transformation for optical processors." In OSA Annual Meeting. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/oam.1988.fp1.

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Signal processing is an interesting field for all-optical digital computing. One reason for this is the fact that signal processing operations can be pipelined very efficiently. This eliminates the need for a complex memory system as it is required for general purpose systems. For example, we consider the M-transformation. The M-transformation is a binary signal transformation which requires only the implementation of AND and OR operations. It belongs to a class of shift-invariant transformations which are described in Ref. 1. The property of shift-invariance makes it interesting for pattern r
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Coogan, T., and A. Sutherland. "Transformation Invariance in Hand Shape Recognition." In 18th International Conference on Pattern Recognition (ICPR'06). IEEE, 2006. http://dx.doi.org/10.1109/icpr.2006.1134.

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Yu, Francis T. S., Xiaoyang Li, Eddy Tam, and Don A. Gregory. "Joint transformation correlation implementation of the circular harmonic expansion for pattern recognition." In OSA Annual Meeting. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/oam.1988.mv7.

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A real-value implementation of circular harmonic expansion by a joint transformation correlation scheme to achieve rotation-invariant pattern recognition is presented. Both the real and imaginary parts of one component of the circular harmonic expansion of a template are used as reference functions. Based on the measurements of the two peaks of the correlation between input object and the two reference functions, rotation-invariant patten recognition is achieved. The rotation angle of the input object with respect to the template is recovered. By using a ¼ waveplate, the rotation invariance ba
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Masuyama, Gakuto, Atsushi Yamashita, and Hajime Asama. "Intrinsically motivated anticipatory learning utilizing transformation invariance." In 2012 IEEE International Conference on Development and Learning and Epigenetic Robotics (ICDL). IEEE, 2012. http://dx.doi.org/10.1109/devlrn.2012.6400873.

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Nguyen, A. Tuan, Thanh Nguyen-Tang, Ser-Nam Lim, and Philip H. S. Torr. "TIPI: Test Time Adaptation with Transformation Invariance." In 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2023. http://dx.doi.org/10.1109/cvpr52729.2023.02314.

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Chirikjian, Gregory S. "Partial Bi-Invariance of SE(3) Metrics." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34276.

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In a flurry of articles in the mid to late 1990s, various metrics for the group of rigid-body motions, SE(3), were introduced for measuring distance between any two reference frames or rigid-body motions. During this time it was shown that one can choose a smooth distance function that is invariant under either all left shifts or all right shifts, but not both. For example, if one defines the distance between two reference frames to be an appropriately weighted Frobenius norm of the difference of the corresponding homogeneous transformation matrices, this will be invariant under left shifts by
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Tosranon, P., A. Sanpanish, S. Bunluechokchai, and C. Pintavirooj. "Robustness of novel surface invariance to geometric transformation." In 2008 5th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON). IEEE, 2008. http://dx.doi.org/10.1109/ecticon.2008.4600488.

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Reports on the topic "Transformation invariance"

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Perdigão, Rui A. P. Information physics and quantum space technologies for natural hazard sensing, modelling and prediction. Meteoceanics, 2021. http://dx.doi.org/10.46337/210930.

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Disruptive socio-natural transformations and climatic change, where system invariants and symmetries break down, defy the traditional complexity paradigms such as machine learning and artificial intelligence. In order to overcome this, we introduced non-ergodic Information Physics, bringing physical meaning to inferential metrics, and a coevolving flexibility to the metrics of information transfer, resulting in new methods for causal discovery and attribution. With this in hand, we develop novel dynamic models and analysis algorithms natively built for quantum information technological platfor
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