An Invitation to 3-D Vision: From Images to Geometric Models

Springer Science+Business Media, 2004/2010. - 542 pages. ISBN: 0387008934 1441918469
Interdisciplinary Applied Mathematics, Volume 26This 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.Contents
Preface
Acknowledgments
Introduction
Part I: Introductory Material
Representation of a Three-Dimensional Moving Scene
Image Formation
Image Primitives and Correspondence
Part II: Geometry of Two Views
Reconstruction from Two Calibrated Views
Reconstruction from Two Uncalibrated Views
Estimation of Multiple Motions from Two Views
Part III: Geometry of Multiple Views
Multiple-View Geometry of Points and Lines
Extension to General Incidence Relations
Geometry and Reconstruction from Symmetry
Part IV: Applications
Step-by-Step Building of a 3-D Model from Images
Visual Feedback
Part V: Appendices
Basic Facts from Linear Algebra
Least -Variance Estimation and Filtering
Basic Facts from Nonlinear Optimization
References
Glossary of Notation
Index
Interdisciplinary Applied Mathematics issues