Uncertain Projective Geometry

Statistical Reasoning for Polyhedral Object Reconstruction
2004
ISBN: 978-3-540-22029-9
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 3008, 210 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 353 g

Reihe: Lecture Notes in Computer Science

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.

Zielgruppe

Research

Autoren/Hrsg.

Heuel, Stephan

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines

Inhaltsverzeichnis

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.