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Applications of Invariance in Computer Vision

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Cover of 'Applications of Invariance in Computer Vision'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction and chapter summary
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    Chapter 2 Cartan's moving frame method and its application to the geometry and evolution of curves in the euclidean, affine and projective planes
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    Chapter 3 Representation of three-dimensional object structure as cross-ratios of determinants of stereo image points
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    Chapter 4 A case against epipolar geometry
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    Chapter 5 Repeated structures: Image correspondence constraints and 3D structure recovery
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    Chapter 6 How to use the cross ratio to compute projective invariants from two images
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    Chapter 7 On geometric and algebraic aspects of 3D affine and projective structures from perspective 2D views
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    Chapter 8 The double algebra: An effective tool for computing invariants in computer vision
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    Chapter 9 Matching perspective views of parallel plane structures
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    Chapter 10 Invariants for recovering shape from shading
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    Chapter 11 Fundamental difficulties with projective normalization of planar curves
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    Chapter 12 Invariant size functions
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    Chapter 13 Euclidean reconstruction from uncalibrated views
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    Chapter 14 Accurate projective reconstruction
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    Chapter 15 Applications of motion field of curves
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    Chapter 16 Affine reconstruction from perspective image pairs obtained by a translating camera
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    Chapter 17 Using invariance and quasi-invariance for the segmentation and recovery of curved objects
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    Chapter 18 Representations of 3D objects that incorporate surface markings
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    Chapter 19 Model-based invariant functions and their use for recognition
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    Chapter 20 Integration of multiple feature groups and multiple views into a 3D object recognition system
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    Chapter 21 Hierarchical object description using invariants
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    Chapter 22 Generalizing invariants for 3-D to 2-D matching
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    Chapter 23 Recognition by combinations of model views: Alignment and invariance
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    Chapter 24 Classification based on the cross ratio
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    Chapter 25 Correspondence of coplanar features through P 2 -invariant representations
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    Chapter 26 Integrating algebraic curves and surfaces, algebraic invariants and Bayesian methods for 2D and 3D object recognition
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Title
Applications of Invariance in Computer Vision
Published by
Springer, Berlin, Heidelberg, January 1993
DOI 10.1007/3-540-58240-1
ISBNs
978-3-54-058240-3, 978-3-54-048583-4
Editors

Joseph L. Mundy, Andrew Zisserman, David Forsyth