Applications of Invariance in Computer Vision: Second Joint European — US Workshop Ponta Delgada, Azores, Portugal October 9–14, 1993 Proceedings

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This book is the proceedings of the Second Joint European-US Workshop on Applications of Invariance to Computer Vision, held at Ponta Delgada, Azores, Portugal in October 1993.
The book contains 25 carefully refereed papers by distinguished researchers. The papers cover all relevant foundational aspects of geometric and algebraic invariance as well as applications to computer vision, particularly to recovery and reconstruction, object recognition, scene analysis, robotic navigation, and statistical analysis. In total, the collection of papers, together with an introductory survey by the editors, impressively documents that geometry, in its different variants, is the most successful and ubiquitous tool in computer vision.

Author(s): Joseph L. Mundy, Andrew Zisserman (auth.), Joseph L. Mundy, Andrew Zisserman, David Forsyth (eds.)
Series: Lecture Notes in Computer Science 825
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1994

Language: English
Pages: 521
Tags: Computer Graphics; Image Processing and Computer Vision; Pattern Recognition; Artificial Intelligence (incl. Robotics); Software Engineering/Programming and Operating Systems; Computer-Aided Engineering (CAD, CAE) and Design

Introduction and chapter summary....Pages 1-8
Cartan's moving frame method and its application to the geometry and evolution of curves in the euclidean, affine and projective planes....Pages 9-46
Representation of three-dimensional object structure as cross-ratios of determinants of stereo image points....Pages 47-68
A case against epipolar geometry....Pages 69-88
Repeated structures: Image correspondence constraints and 3D structure recovery....Pages 89-106
How to use the cross ratio to compute projective invariants from two images....Pages 107-126
On geometric and algebraic aspects of 3D affine and projective structures from perspective 2D views....Pages 127-143
The double algebra: An effective tool for computing invariants in computer vision....Pages 145-164
Matching perspective views of parallel plane structures....Pages 165-184
Invariants for recovering shape from shading....Pages 185-198
Fundamental difficulties with projective normalization of planar curves....Pages 199-214
Invariant size functions....Pages 215-234
Euclidean reconstruction from uncalibrated views....Pages 235-256
Accurate projective reconstruction....Pages 257-276
Applications of motion field of curves....Pages 277-296
Affine reconstruction from perspective image pairs obtained by a translating camera....Pages 297-316
Using invariance and quasi-invariance for the segmentation and recovery of curved objects....Pages 317-340
Representations of 3D objects that incorporate surface markings....Pages 341-357
Model-based invariant functions and their use for recognition....Pages 359-378
Integration of multiple feature groups and multiple views into a 3D object recognition system....Pages 379-395
Hierarchical object description using invariants....Pages 397-414
Generalizing invariants for 3-D to 2-D matching....Pages 415-434
Recognition by combinations of model views: Alignment and invariance....Pages 435-450
Classification based on the cross ratio....Pages 451-472
Correspondence of coplanar features through P 2 -invariant representations....Pages 473-492
Integrating algebraic curves and surfaces, algebraic invariants and Bayesian methods for 2D and 3D object recognition....Pages 493-510