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The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications
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TLDR
The state of knowledge in one subarea of vision is described, the geometric laws that relate different views of a scene from the perspective of various types of geometries, which is a unified framework for thinking about many geometric problems relevant to vision.Abstract:
From the Publisher:
with contributions from Theo Papadopoulo
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 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.read more
Citations
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Proceedings ArticleDOI
Stereoscopic Correspondence without Continuity Assumptions
V. Petran,F. Merat +1 more
TL;DR: This paper summarizes work in progress, focused on construction of an artificial stereoscopic vision system that can solve the correspondence problem, when immersed in environments containing large numbers of depth discontinuities, for example, when presented with views of leafless trees in a snow storm.
Računalniški vid nekdaj in danes
TL;DR: Racunalniski vida vida od 70-tih let prejsnjega stoletja do danes as mentioned in this paper pregled razvoja racunalniskega vida.
Journal ArticleDOI
Viewpoint determination of image by interpolation over sparse samples
Bodong Liang,Ronald Chung +1 more
TL;DR: An interpolation-based mechanism that determines the viewpoint of any given input image, which has the property that it fits all the given input-output reference samples exactly.
Dissertation
Polynomials in multiview geometry
TL;DR: In this paper, the authors study multiview geometry and some of its applications through the use of polynomials. And they apply this understanding to solving triangulation, the problem of reconstructing a world point from noisy projections.
Book ChapterDOI
Analytic Reduction of the Kruppa Equations
TL;DR: Given the fundamental matrix between a pair of images taken by a nonstationary projective camera with constant internal parameters, it is shown how to use the two independent Kruppa equations in order to explicitly cut down the number of parameters of the Kruppa matrix KKT by exactly two.