An invitation to 3-D vision

From images to geometric models

Shankar Sastry, Ma Yi, Stefano Soatto, Jana Kosecka - Collection Interdisciplinary applied mathematics

527 pages, parution le 28/12/2003

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Résumé

This book gives senior undergraduate and beginning graduate students and researchers in computer vision, applied mathematics, computer graphics, and robotics a self-contained introduction to the geometry of 3D vision; that is the reconstruction of 3D models of objects from a collection of 2D images. Following a brief introduction, Part I provides background materials for the rest of the book. The two fundamental transformations, namely rigid body motion and perspective projection are introduced and image formation and feature extraction discussed. Part II covers the classic theory of two view geometry based on the so-called epipolar constraint. Part III shows that a more proper tool for studying the geometry of multiple views is the so- called rank considtion on the multiple view matrix. Part IV develops practical reconstruction algorithms step by step as well as discusses possible extensions of the theory. Exercises are provided at the end of each chapter. Software for examples and algorithms are available on the author's website.

L'auteur - Ma Yi

Champaign, Illinois

L'auteur - Stefano Soatto

Stefano Soatto: Los Angeles, California

L'auteur - Jana Kosecka

Fairfax, Virginia

Sommaire

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
- Segmentation of Multiple Moving Objects 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 3D Model From Images
- Visual Feedback
APPENDICES

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Shankar Sastry, Ma Yi, Stefano Soatto, Jana Kosecka
Collection	Interdisciplinary applied mathematics
Parution	28/12/2003
Nb. de pages	527
Format	16 x 24,4
Couverture	Relié
Poids	890g
Intérieur	Noir et Blanc
EAN13	9780387008936
ISBN13	978-0-387-00893-6