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

Description

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