The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications

The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications

by Olivier Faugeras, Quang-Tuan Luong
     
 

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.See more details below

Overview

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.

Product Details

ISBN-13:
9780262562041
Publisher:
MIT Press
Publication date:
03/01/2004
Edition description:
New Edition
Pages:
668
Product dimensions:
8.00(w) x 9.00(h) x 1.10(d)
Age Range:
18 Years

Table of Contents

Preface
Notation
1A tour into multiple image geometry1
2Projective, affine and Euclidean geometries63
3Exterior and double or Grassmann-Cayley algebras127
4One camera173
5Two views: The Fundamental matrix247
6Estimating the Fundamental matrix315
7Stratification of binocular stereo and applications359
8Three views: The trifocal geometry409
9Determining the Trifocal tensor469
10Stratification of n [actual symbol not reproducible] 3 views and applications501
11Self-calibration of a moving camera: From affine or projective calibration to full Euclidean calibration539
A: Appendix593
References597
Index635

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