Relevant bibliographies by topics / Transformation invariance

Academic literature on the topic 'Transformation invariance'

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Published: 10 December 2022
Last updated: 28 January 2023

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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 invariance transformations, for example, the mass-sheet transformation or the source position transformation, are contained in our invariance transformations, when they are restricted to the areas covered by the multiple images and when lens-model-based degeneracies are ignored, like the freedom to add or subtract masses in unconstrained regions without multiple images. Hence, we have identified the general class of invariance transformations that can occur, in particular in our model-independent local characterisation of strong gravitational lenses.
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DAS, ASHOK, and MARCELO HOTT. "CHIRAL INVARIANCE OF MASSIVE FERMIONS." Modern Physics Letters A 09, no. 24 (August 10, 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 (October 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 control. Previous approaches based on first-order Taylor series expansions of images can be regarded as special cases of the Lie group approach, which utilizes a matrix-exponential-based generative model of images and can handle arbitrarily large transformations. We present an unsupervised expectation-maximization algorithm for learning Lie transformation operators directly from image data containing examples of transformations. Our experimental results show that the Lie operators learned by the algorithm from an artificial data set containing six types of affine transformations closely match the analytically predicted affine operators. We then demonstrate that the algorithm can also recover novel transformation operators from natural image sequences. We conclude by showing that the learned operators can be used to both generate and estimate transformations in images, thereby providing a basis for achieving visual invariance.
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CHIMENTO, LUIS P., and WINFRIED ZIMDAHL. "DUALITY INVARIANCE AND COSMOLOGICAL DYNAMICS." International Journal of Modern Physics D 17, no. 12 (November 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 invariance of adiabatic pressure perturbations under these transformations.
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Salosin, Evgeny Georgievich. "LORENTZ TRANSFORMATION CHANGE." Globus 8, no. 1(66) (February 4, 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 invariance than the Lorentz transformation. Moreover, the Lorentz transformation is contradictory. For a single massive body in general relativity, the Lorentz transformation is not valid, since the metric tensor is not Galilean. Although in the case of SRT such a transformation is possible. Those. the properties of inertial coordinate systems are violated. For a Galilean transformation of a four-vector for a massive body, a Galilean transformation is possible. Moreover, from the Galilean transformations of the four-vector, one can obtain the Lorentz transformation, but with the use of three-dimensional velocity. Three-dimensional speed is limited by the speed of light in real space, where all tricks with its use come from. The 4D speed is unlimited, and there are no coordinate transformation tricks. If you use the transformation between inertial coordinate systems using a limited threedimensional velocity, then tricks arise with the transformation of space and time. If you use unlimited four-dimensional speed, then there are no tricks with a change in space-time. Four-dimensional speed is a more general concept than three-dimensional, and you need to measure the parameters at four-dimensional speed, then there will be no tricks. Thus, measuring time with the help of four-dimensional velocity, we will not get an increase in the muon lifetime.
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Földiák, Peter. "Learning Invariance from Transformation Sequences." Neural Computation 3, no. 2 (June 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 complex cells in the primary visual cortex, and also in the development of more complicated invariance properties of neurons in higher visual areas.
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HO, S. H. "ALTERNATIVE CONFORMAL QUANTUM MECHANICS." International Journal of Modern Physics A 26, no. 16 (June 30, 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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Alsing, P. M., and G. Milburn. "Lorentz Invariance of Entanglement." Quantum Information and Computation 2, no. 6 (October 2002): 487–512. http://dx.doi.org/10.26421/qic2.6-4.

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We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as viewed from two inertial frames moving with constant velocity with respect to each other. Though the finite dimensional matrices describing the Lorentz transformations are non-unitary, each single particle state of the entangled pair undergoes an effective, momentum dependent, local unitary rotation, thereby preserving the entanglement fidelity of the bipartite state. The details of how these unitary transformations are manifested are explicitly worked out for the Bell states comprised of massive spin $1/2$ particles and massless photon polarizations. The relevance of this work to non-inertial frames is briefly discussed.
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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 (January 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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Dai, Gaole, and Jun Wang. "On Transformation Form-Invariance in Thermal Convection." Materials 16, no. 1 (December 30, 2022): 376. http://dx.doi.org/10.3390/ma16010376.

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Over the past two decades, effective control of physical fields, such as light fields or acoustics fields, has greatly benefited from transforming media. One of these rapidly growing research areas is transformation thermotics, especially embodied in the thermal conductive and radiative modes. On the other hand, transformation media in thermal convection has seldom been studied due to the complicated governing equations involving both fluid motion and heat transfer terms. The difficulty lies in the robustness of form invariance in the Navier–Stokes equations or their simplified forms under coordinate transformations, which determines whether the transformation operations can be executed on thermal convection to simultaneously regulate the flow and thermal fields. In this work, we show that thermal convection in two-dimensional Hele–Shaw cells keeps form-invariance, while its counterpart in general creeping flows or general laminar flows does not. This conclusion is numerically verified by checking the performances of invisible devices made of transformation media in convective environments. We further exploit multilayered structures constituted of isotropic homogeneous natural materials to realize the anisotropic inhomogeneous properties required for transformation media. Our results clarify the long-term confusion about the validation of the transformation method in thermal convection and provide a rigorous foundation and classical paradigm on inspiring various fascinating metadevices in both thermal and flow fields.
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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 physiques et les transformations d’espace ont par ailleurs été appliquées à plusieurs disciplines telles que l’acoustique, l’élasto-dynamique ou la propagation d’ondes de surface. Nous présentons ici les transformations d’espace appliquées à l’équation de la chaleur. Au cours de notre étude, nous nous intéressons aux transformations menant aux capes d’invisibilité thermiques et aux concentrateurs thermiques. Ces systèmes sont constitués de matériaux anisotropes et hétérogènes ce qui les rend difficile à réaliser. Nous utilisons donc la théorie de l’homogénéisation à deux échelles qui permet d’approcher le comportement de ces systèmes par une alternance de couches de matériaux isotropes. Nous suivons une démarche systématique d’évaluation quantitative des performances de nos systèmes approchés dans une optique d’une ingénierie à haut niveau de métamatériaux thermiques. Un modèle de tapis thermique à 50 couches est proposé dont les résultats expérimentaux sont attendus
The metamaterials community has been heavily excited since the publication of two articles by Pendry and Leonhardt in 2006 in which exotic devices such as invisibility cloaks are proposed to be implemented by space transformation. Indeed, the form invariance of the Maxwell equations allow for an equivalence between a deformed geometry and a material with specific properties. Since then, several experimental studies have shown the feasibility of such transformed devices. The form invariance is also found in other physical domains such and the space transformations were applied to mulitphyscial phenomena such acoustic wave propagation, elasto-dynamic wave and surface wave propagation. We present in this work the space transformation applied to the heat equation. Throughout our study, we focus on the transformations leading to thermal invisibility cloaks and thermal concentrators. Those transformed devices are made of anisotropic heterogeneous materials which make them difficult to practically design. Therefore, we make use of the two-scale homogenization theory allowing to approach the behavior of those devices with an alternate set of isotropic materials. We systematically try to evaluate quantitatively the performance of our approximate devices by defining an effectiveness criterion to achieve high level of mthermal metamaterials engineering. We present a the end a model of a 50-layer carpet cloak whose first results are to be expected
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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.


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 contrôle (linéarisation par bouclage) et d'observateur
(contraction) nonlinéaires, que nous avons installées sur les unités.


Ce projet nous a amené à réfléchir sur la manière dont on peut tenir compte des symétries d'un système pour élaborer des observateurs. Nous avons considéré le cas de systèmes invariants sous l'action de groupe de transformations: notre contribution réside dans la définition de la notion d'erreur invariante,ingrédient important dans la conception d'observateurs invariants. Nous décrivons ensuite un observateur asymptotique, localement convergent pour une classe de système Lagrangiens, qui a la propriété d'être intrinsèque tout comme le sont les équations d'Euler-Lagrange. Ces deux études remettent ainsi en perspective la notion d'erreur pour les systèmes nonlinéaires, en tenant compte de la géométrie qui structure ces systèmes.

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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 proposons de formuler ces transformations rigides dans un cadre purement discret. Dans ce cadre, les transformations rigides sont regroupées en classes correspondant chacune à une transformation digitale donnée. De plus, les relations entre ces classes de transformations peuvent être modélisées par une structure de graphe. Nous prouvons que ce graphe présente une complexité spatiale polynômiale par rapport à la taille de l'image. Il présente également des propriétés structurelles intéressantes. En particulier, il permet de générer de manière progressive toute transformation rigide digitale, et ce sans approximation numérique. Cette structure constitue un outil théorique pour l'étude des relations entre la géométrie et la topologie dans le contexte de l'imagerie numérique. Elle présente aussi un intérêt méthodologique, comme l'illustre son utilisation pour l'évaluation du comportement topologique des images sous des transformations rigides
In this thesis, we study rigid transformations in the context of computer imagery. In particular, we develop a fully discrete framework for handling such transformations. Rigid transformations, initially defined in the continuous domain, are involved in a wide range of digital image processing applications. In this context, the induced digital rigid transformations present different geometrical and topological properties with respect to their continuous analogues. In order to overcome the issues raised by these differences, we propose to formulate rigid transformations on digital images in a fully discrete framework. In this framework, Euclidean rigid transformations producing the same digital rigid transformation are put in the same equivalence class. Moreover, the relationship between these classes can be modeled as a graph structure. We prove that this graph has a polynomial space complexity with respect to the size of the considered image, and presents useful structural properties. In particular, it allows us to generate incrementally all digital rigid transformations without numerical approximation. This structure constitutes a theoretical tool to investigate the relationships between geometry and topology in the context of digital images. It is also interesting from the methodological point of view, as we illustrate by its use for assessing the topological behavior of images under rigid transformations
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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
processus stationnaires et les processus auto-similaires, nous permet
d'aborder de manière générale la description des propriétés en échelle
de problèmes physiques ou de signaux stochastiques. La notion d'échelle
pertinente est montrée être celle construite sur les décompositions de Mellin
et nous utilisons l'idée de la correspondance de Lamperti pour
étudier les propriétés des processus auto-similaires à l'aide des outils
de l'analyse du signal stationnaire. D'autre part l'outil est généralisé aux
situations non invariantes en échelle ou avec des invariances brisées,
et offre une correspondance généralisée avec les problèmes d'analyse
de signaux non stationnaires.

Des méthodes de représentation, de modélisation et d'analyses sont construites
de cette manière, en particulier les classes de représentations mixtes
temps-échelle. Nous étudions des situations spécifiques de brisure de
l'invariance en échelle incorporant les effets de taille finie, ou
une invariance seulement locale, et nous mettons l'accent sur la propriété
d'invariance en échelles discrètes stochastique que nous introduisons
comme correspondant en échelle à la cyclostationarité.

Parallèlement, la turbulence développée, dont les propriétés en échelle sont
un ingrédient important, a été abordée par l'angle des modèles fondés sur des
collections statistiques d'objets cohérents comme des vortex. Nous avançons
quelques réflexions sur la caractérisation de la signature de ces objets
structurés et avons spécifiquement examiné le modèle de vortex de Lundgren,
en cherchant à le formuler à l'aide des outils en échelle de Mellin.
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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 étude comparée de l’enseignement de la relativité à travers les programmes officiels au secondaire en physique et en philosophie,en France, en Italie et en Tunisie qui sont trois pays méditerranéens de traditions scientifiques différentes, et sur les apports des discussions philosophiques et de l’histoire des sciences à partir de l’ouvrage de vulgarisation de 1916 d’Albert Einstein sur les différents concepts de sa théorie. Ainsi nous avons exploité ces apports à des fins pédagogiques, épistémologiques et interdisciplinaire dans la réalisation d’une séquence d'enseignement de la théorie de la relativité restreinte avec des élèves de terminale scientifique. Nous avons insisté sur le lien entre relativité galiléenne et relativité restreinte par le passage de la transformation galiléenne à la transformation de Lorentz au premier ordre de V/c, (Bracco et Provost, 2014), dans le but d’expliquer aux élèves comment la relativité de l’espace s’étend à celle du temps par la modification la plus simple à apporter aux transformations de Galilée compatible avec l’invariance de c
The teaching of theory of special relativity, has been eliminated from the official Tunisian physical science since 1998, four years after its introduction. However, his teaching has been in Italian high school programs for a long time and has been reintroduced since 2011 into French official programs. So how can we reintroduce this theory, which constitutes a part of contemporary physics in Tunisian official physics programs, at a time when Tunisia is in full education reform? In our research, we have developed a comparative study of the teaching of relativity through the official secondary programs in physics and philosophy, in France, Italy and Tunisia which are three Mediterranean countries of different scientific traditions, and on the contributions of philosophical discussions and the history of science from Albert Einstein's 1916 popularization of the various concepts of his theory such as: time, space, the notion of Galilean reference, the relativity, the invariance of celerity c of light emptiness or more generally the nature of a scientific theory. Thus we have exploited these contributions for pedagogical, epistemological and interdisciplinary purposes in the realization of a teaching sequence of the theory of special relativity with students of scientific terminale. We insisted on the link between Galilean relativity and relativity restricted by the passage from the Galilean transformation to Lorentz transformation to the first order of V / c,(Bracco and Provost, 2014), with the aim of explaining to students how the relativity of space extends to that of time by the simplest modification to Galilean transformations compatible with the invariance of c
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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 rescaled level curve curvature operator, as well as an enriched set of scale selection mechanisms including scale selection based on local extrema over scale, complementary post-smoothing after the computation of non-linear differential invariants and scale selection based on weighted averaging of scale values along feature trajectories over scale. A theoretical analysis of the sensitivity to affine image deformations is presented, and it is shown that the scale estimates obtained from the determinant of the Hessian operator are affine covariant for an anisotropic Gaussian blob model. Among the other purely second-order operators, the Hessian feature strength measure I has the lowest sensitivity to non-uniform scaling transformations, followed by the Laplacian operator and the Hessian feature strength measure II. The predictions from this theoretical analysis agree with experimental results of the repeatability properties of the different interest point detectors under affine and perspective transformations of real image data. A number of less complete results are derived for the level curve curvature operator.

QC 20121003


Image descriptors and scale-space theory for spatial and spatio-temporal recognition
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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'apparition du cancer du sein. Dans une deuxième partie méthodologique, nous généralisons la méthode MMTO pour l'analyse multifractale de données 3D scalaires et vectorielles, en détaillant la mise en oeuvre numérique et un introduisant la transformée en ondelettes tensorielle. On démontre en particulier que l'utilisation d'une technique de filtres récursifs permet un gain de 25 a 60 \% en temps de calcul suivant l'ondelette analysatrice choisie par rapport à un filtrage par FFT. La méthode MMTO 3D est appliquée sur des simulations numériques directes (SND) des équations de Navier-Stokes en régime turbulent. On montre que les champs 3D de dissipation et d'enstrophie pour des nombres de Reynolds modérés sont bien modélisés par des processus multiplicatifs de cascades non-conservatifs comme en témoigne la mesure de l'exposant d'extinction $\kappa$ qui diffère significativement de zéro. On observe en outre que celui-ci diminue lorsqu'on augmente le nombre de Reynolds. Enfin, on présente les premiers résultats d'une analyse multifractale pleinement vectorielle des champs de vitesse et de vorticité des mêmes simulations numériques en montrant que la valeur du paramètre d'intermittence $C_2$, mesuré par la méthode MMTO 3D tensorielle, est significativement plus grande que celle obtenue en étudiant les incréments de vitesse longitudinaux 1D.
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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 of the following main steps. The first step is one of fuzzy medialness measurements of 2D segmented objects from intensity images that emphasizes main shape information characteristic of an object's parts, e.g. concavities and folds along a contour. We distinguish interior from exterior shape description. Interior medialness is used to characterise deformations from straightness, corners and necks, while exterior medialness identifies the main concavities and inlands which are useful to verify parts extent and reason about articulation and movement. The second main step consists on defining a feature descriptor, we call ShIFT: Shape Invariant Feature Transform constructed from our proposed medialness­based discrete set, which permits efficient matching tasks when treating very large databases of images containing various types of 2D objects. Our defined shape descriptor ShIFT basically captures elementary shape cues and hence it is able to characterise any 2D shape. In summary, our shape descriptor is strongly footed in results from cognitive psychology while the algorithmic part is influenced by techniques from more traditional computer vision.
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Books on the topic "Transformation invariance"

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

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Y, Na T., ed. Group invariance in engineering boundary value problems. New York: Springer-Verlag, 1985.

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

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

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

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Mögliche Skalentypen, invariante Relationen und wissenschaftliche Gesetze. Göttingen: Vandenhoeck & Ruprecht, 1994.

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Difference spaces and invariant linear forms. Berlin: Springer-Verlag, 1994.

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

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Conformal invariance: An introduction to loops, interfaces and stochastic Loewner Evolution. Heidelberg: Springer, 2012.

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Fabella, Raul V. Continuity in transformation invariant social orderings: Two impossibilites. [Quezon?]: University of the Philippines, School of Economics, 1985.

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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, 74–112. New York, NY: 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, 491–98. Berlin, Heidelberg: 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, 5–34. New York, NY: 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, 169–89. New York, NY: 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, 28–41. New York, NY: 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, 157–68. New York, NY: 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, 486–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39592-8_69.

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Barndorff-Nielsen, Ole E., Preben Blæsild, and Poul Svante Eriksen. "Introduction." In Decomposition and Invariance of Measures, and Statistical Transformation Models, 1–2. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3682-5_1.

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Barndorff-Nielsen, Ole E., Preben Blæsild, and Poul Svante Eriksen. "Topological groups and actions." In Decomposition and Invariance of Measures, and Statistical Transformation Models, 2–14. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3682-5_2.

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Barndorff-Nielsen, Ole E., Preben Blæsild, and Poul Svante Eriksen. "Matrix Lie groups." In Decomposition and Invariance of Measures, and Statistical Transformation Models, 15–27. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3682-5_3.

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Conference papers on the topic "Transformation invariance"

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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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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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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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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 arbitrary rigid-body motions. However, this is not the full picture — other invariance properties exist. Though the Frobenius norm is not invariant under right shifts by arbitrary rigid-body motions, for an appropriate weighting it is invariant under right shifts by pure rotations. This is also true for metrics based on the Lie-theoretic logarithm. This paper goes further to investigate the full invariance properties of distance functions on SE(3), clarifying the full subsets of motions under which both left and right invariance is possible.
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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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Miranda, Ricardo Kehrle, Joao Paulo C. L. da Costa, Giovanni Del Galdo, and Florian Roemer. "Broadband beamforming via frequency invariance transformation and PARAFAC decomposition." In 2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP). IEEE, 2017. http://dx.doi.org/10.1109/camsap.2017.8313096.

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Segman, Joseph. "Fourier cross-correlation and invariance transformation for affine groups." In Visual Communications, '91, Boston, MA, edited by Kou-Hu Tzou and Toshio Koga. SPIE, 1991. http://dx.doi.org/10.1117/12.50339.

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Aach, T., and A. P. Condurache. "Transformation of adaptive thresholds by significance invariance for change detection." In 2005 Microwave Electronics: Measurements, Identification, Applications. IEEE, 2005. http://dx.doi.org/10.1109/ssp.2005.1628672.

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Liu, Jinxiang, Chen Ju, Weidi Xie, and Ya Zhang. "Exploiting Transformation Invariance and Equivariance for Self-supervised Sound Localisation." In MM '22: The 30th ACM International Conference on Multimedia. New York, NY, USA: ACM, 2022. http://dx.doi.org/10.1145/3503161.3548317.

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Ding, Pengcheng, Shouhong Wan, Peiquan Jin, and Chang Zou. "A rotation invariance spatial transformation network for remote sensing image retrieval." In Twelfth International Conference on Digital Image Processing, edited by Hiroshi Fujita and Xudong Jiang. SPIE, 2020. http://dx.doi.org/10.1117/12.2572945.

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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, September 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 platforms, expediting complex system computations and rigour. Moreover, we introduce novel quantum sensing technologies in our Meteoceanics satellite constellation, providing unprecedented spatiotemporal coverage, resolution and lead, whilst using exclusively sustainable materials and processes across the value chain. Our technologies bring out novel information physical fingerprints of extreme events, with recently proven records in capturing early warning signs for extreme hydro-meteorologic events and seismic events, and do so with unprecedented quantum-grade resolution, robustness, security, speed and fidelity in sensing, processing and communication. Our advances, from Earth to Space, further provide crucial predictive edge and added value to early warning systems of natural hazards and long-term predictions supporting climatic security and action.
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