Uncertain Projective Geometry: Statistical Reasoning for Polyhedral Object Reconstruction / Edition 1

by Stephan Heuel

Overview

Algebraic projective geometry, with its multilinear relations and its embedding into Grassmann-Cayley algebra, has become the basic representation of multiple view geometry, resulting in deep insights into the algebraic structure of geometric relations, as well as in efficient and versatile algorithms for computer vision and image analysis.

This book provides a coherent integration of algebraic projective geometry and spatial reasoning under uncertainty with applications in computer vision. Beyond systematically introducing the theoretical foundations from geometry and statistics and clear rules for performing geometric reasoning under uncertainty, the author provides a collection of detailed algorithms.

The book addresses researchers and advanced students interested in algebraic projective geometry for image analysis, in statistical representation of objects and transformations, or in generic tools for testing and estimating within the context of geometric multiple-view analysis.

Product Details

ISBN-13:	9783540220299
Publisher:	Springer Berlin Heidelberg
Publication date:	06/14/2004
Series:	Lecture Notes in Computer Science , #3008
Edition description:	2004
Pages:	210
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1 Introduction.- 2 Representation of Geometric Entities and Transformations.- 3 Geometric Reasoning Using Projective Geometry.- 4 Statistical Geometric Reasoning.- 5 Polyhedral Object Reconstruction.- 6 Conclusions.- A Notation.- B Linear Algebra.- C Statistics.