Uncertain Projective Geometry
Statistical Reasoning for Polyhedral Object Reconstruction
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Beschreibung
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.
Includes supplementary material: sn.pub/extras
Autor*in
Stephan Heuel
Themen in »Uncertain Projective Geometry«
Computer algebraic projective geometry algorithms computer vision geometric reasoning image analysis multiple view geometry object recognition pattern recognition polyhedral object reconst spatial reasoning statistical geometric reasoning statistical representation statistics uncertainty