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Author: Bill Triggs
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
On etudie les relations geometriques entre une scene 3d et ses images perspectives. Les liens entre les images, et la reconstruction 3d de la scene a partir de ces images, sont particulierement elucides. L'outil central est un formalisme tensoriel de la geometrie projective des images multiples. La forme et la structure algebrique des contraintes geometriques qui lient les differentes images d'une primitive 3d sont etablies. A partir de la, plusieurs nouvelles methodes de reconstruction 3d projective d'une scene a partir d'images non-calibrees sont developpees. Pour rehausser cette structure projective a une structure euclidienne, on introduit un nouveau formalisme d'auto-calibrage d'une camera en mouvement.
Author: Bill Triggs
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
On etudie les relations geometriques entre une scene 3d et ses images perspectives. Les liens entre les images, et la reconstruction 3d de la scene a partir de ces images, sont particulierement elucides. L'outil central est un formalisme tensoriel de la geometrie projective des images multiples. La forme et la structure algebrique des contraintes geometriques qui lient les differentes images d'une primitive 3d sont etablies. A partir de la, plusieurs nouvelles methodes de reconstruction 3d projective d'une scene a partir d'images non-calibrees sont developpees. Pour rehausser cette structure projective a une structure euclidienne, on introduit un nouveau formalisme d'auto-calibrage d'une camera en mouvement.
Author: Olivier Faugeras
Publisher: MIT Press
ISBN: 9780262562041
Category : Computers
Languages : en
Pages : 682
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Book Description
This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems are relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications.
Author: AUDIBERT Pierre
Publisher: Lavoisier
ISBN: 2746295032
Category : Pavements
Languages : en
Pages : 418
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Book Description
Des fresques de l’Antiquité romaine aux pavages de Durer et Kepler, des mosaïques de l’art arabo-persan aux pavages de Penrose, l’art décoratif est illuminé de motifs géométriques foisonnants. Soumis à des régularités lancinantes ou à des symétries kaléidoscopiques, ils forment un trait d’union privilégié entre l’art et les mathématiques. S’adressant aux enseignants et étudiants en mathématiques ou informatique comme aux amateurs d’art, Géométrie des pavages propose différentes clés permettant de mieux comprendre la beauté cachée des formes, mais également de devenir les artisans constructeurs des pavages sur ordinateur. Il détaille les trois types de conception géométrique (surface plane, sphérique ou géométrie non euclidienne hyperbolique) et les concepts théoriques qui les fondent. La compréhension des mécanismes internes de la fabrication des pavages permet ainsi d’accéder aux programmes de réalisation sur ordinateur, donnant accès à des visualisations instantanées et à un grand nombre de variations possibles.
Author: Yi Ma
Publisher: Springer Science & Business Media
ISBN: 0387217797
Category : Computers
Languages : en
Pages : 542
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Book Description
This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for studying the geometry of multiple views is the so-called rank consideration of the multiple view matrix. It also develops practical reconstruction algorithms and discusses possible extensions of the theory.
Author: Rémi Ronfard
Publisher: Springer Science & Business Media
ISBN: 3642123929
Category : Mathematics
Languages : en
Pages : 307
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Book Description
papers, illustrated with examples. They include wavelet bases, implicit functions de ned on a space grid, etc. It appears that a common pattern is the recovery of a controllable model of the scene, such that the resulting images can be edited (interaction). Changing the viewpoint is only one (important) aspect, but changing the lighting and action is equally important [2]. Recording and representing three-dimensional scenes is an emerging technology made possible by the convergence of optics, geometry and computer science, with many applications in the movie industry, and more generally in entertainment. Note that the invention of cinema (camera and projector) was also primarily a scienti c invention that evolved into an art form. We suspect the same thing will probably happen with 3-D movies. 3 Book Contents The book is composed of 12 chapters, which elaborate on the content of talks given at the BANFF workshop. The chapters are organized into three sections. The rst section presents an overview of the inter-relations between the art of cinemat- raphy and the science of image and geometry processing; the second section is devoted to recent developments in geometry; and the third section is devoted to recent developmentsin image processing. 3.1 3-D Cinematography and Applications The rst section of the book presents an overview of the inter-relations between the art of cinematography and the science of image and geometry processing.
Author: Richard Hartley
Publisher: Cambridge University Press
ISBN: 1139449141
Category : Computers
Languages : en
Pages : 676
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Book Description
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.
Author: Stergios Stergiopoulos
Publisher: CRC Press
ISBN: 135136944X
Category : Technology & Engineering
Languages : en
Pages : 752
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Book Description
Advances in digital signal processing algorithms and computer technology have combined to produce real-time systems with capabilities far beyond those of just few years ago. Nonlinear, adaptive methods for signal processing have emerged to provide better array gain performance, however, they lack the robustness of conventional algorithms. The challenge remains to develop a concept that exploits the advantages of both-a scheme that integrates these methods in practical, real-time systems. The Advanced Signal Processing Handbook helps you meet that challenge. Beyond offering an outstanding introduction to the principles and applications of advanced signal processing, it develops a generic processing structure that takes advantage of the similarities that exist among radar, sonar, and medical imaging systems and integrates conventional and nonlinear processing schemes.
Author: Eric Andres
Publisher: Springer
ISBN: 3540319654
Category : Computers
Languages : en
Pages : 438
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Book Description
This book constitutes the refereed proceedings of the 12th International Conference on Discrete Geometry for Computer Imagery, DGCI 2005, held in Poitiers, France in April 2005. The 36 revised full papers presented together with an invited paper were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on applications, discrete hierarchical geometry, discrete tomography, discrete topology, object properties, reconstruction and recognition, uncertain geometry, and visualization.
Author: Bart M. Haar Romeny
Publisher: Springer Science & Business Media
ISBN: 9401716994
Category : Computers
Languages : en
Pages : 461
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Book Description
Scale is a concept the antiquity of which can hardly be traced. Certainly the familiar phenomena that accompany sc ale changes in optical patterns are mentioned in the earliest written records. The most obvious topological changes such as the creation or annihilation of details have been a topic to philosophers, artists and later scientists. This appears to of fascination be the case for all cultures from which extensive written records exist. For th instance, chinese 17 c artist manuals remark that "distant faces have no eyes" . The merging of details is also obvious to many authors, e. g. , Lucretius mentions the fact that distant islands look like a single one. The one topo logical event that is (to the best of my knowledge) mentioned only late (by th John Ruskin in his "Elements of drawing" of the mid 19 c) is the splitting of a blob on blurring. The change of images on a gradual increase of resolu tion has been a recurring theme in the arts (e. g. , the poetic description of the distant armada in Calderon's The Constant Prince) and this "mystery" (as Ruskin calls it) is constantly exploited by painters.
Author: Ares Pasipoularides
Publisher: PMPH-USA
ISBN: 9781607950332
Category : Blood flow
Languages : en
Pages : 958
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Book Description
This outstanding resource provides a comprehensive guide to intracardiac blood flow phenomena and cardiac hemodynamics, including the developmental history, theoretical frameworks, computational fluid dynamics, and practical applications for clinical cardiology, cardiac imaging and embryology. It is not a mere compilation of the most up-to-date scientific data and relevant concepts. Rather, it is an integrated educational means to developing pluridisciplinary background, knowledge, and understanding. Such understanding allows an appreciation of the crucial, albeit heretofore generally unappreciated, importance of intracardiac blood flow phenomena in a host of multifaceted functional and morphogenetic cardiac adaptations. The book includes over 400 figures, which were prepared by the author and form a vital part of the pedagogy. It is organized in three parts. Part I, Fundamentals of Intracardiac Flows and Their Measurement, provides comprehensive background from many disciplines that are necessary for a deep and broad understanding and appreciation of intracardiac blood flow phenomena. Such indispensable background spans several chapters and covers necessary mathematics, a brief history of the evolution of ideas and methodological approaches that are relevant to cardiac fluid dynamics and imaging, a qualitative introduction to fluid dynamic stability theory, chapters on physics and fluid dynamics of unsteady blood flows and an intuitive introduction to various kinds of relevant vortical fluid motions. Part II, Visualization of Intracardiac Blood Flows: Methodologies, Frameworks and Insights, is devoted to pluridisciplinary approaches to the visualization of intracardiac blood flows. It encompasses chapters on 3-D real-time and "live 3-D" echocardiography and Doppler echocardiography, CT tomographic scanning modalities, including multidetector spiral/helical dataset acquisitions, MRI and cardiac MRA, including phase contrast velocity mapping (PCVM), etc. An entire chapter is devoted to the understanding of post processing exploration techniques and the display of tomographic data, including "slice-and-dice" 3-D techniques and cine-MRI. Part II also encompasses an intuitive introduction to CFD as it pertains to intracardiac blood flow simulations, followed--in separate chapters--by conceptually rich treatments of the computational fluid dynamics of ejection and of diastolic filling. An entire chapter is devoted to fluid dynamic epigenetic factors in cardiogenesis and pre- and postnatal cardiac remodeling, and another to clinical and basic science perspectives, and their implications for emerging research frontiers. Part III contains an Appendix presenting technical aspects of the method of predetermined boundary motion, "PBM," developed at Duke University by the author and his collaborators.
