Uncertain Projective Geometry Statistical Reasoning for Polyhedral Object Reconstruction /

• Main Author: Heuel, Stephan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
• Series: Lecture Notes in Computer Science, 3008
• Subjects: Mathematics.; Mathematical statistics.; Artificial intelligence.; Computer graphics.; Image processing.; Pattern recognition.; Geometry.; Pattern Recognition.; Image Processing and Computer Vision.; Probability and Statistics in Computer Science.; Computer Graphics.; Artificial Intelligence (incl. Robotics).

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 algorith...

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.