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Computational Symmetry in Computer Vision and Computer Graphics

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2010, 197 pages
Contents
Introduction
What is symmetry?
Why is symmetry relevant to computational science?
Why is computational symmetry challenging?
Historical perspective
Symmetry ans Symmetry Groups
Symmetry in Euclidean Space
Symmetry in Affine an Projective Spaces
Symmetry in non-Euclidean Geometry
Symmetry Detection
Symmetry Detection by Methods
Symmetry Detection by Symmetry Types
Quantitative Comparison of Symmetry Detection Alogorithms
Near Regular Texture (NRT)
NRT formalization
NRT quantification
NRT applications
Discovery of NRTs in the Real World: Deformed-Lattice Extraction
Dynamic NRTs
Continuous Symmetry
Measuring Symmetry as a Continuous Feature
Facial Asymmetry as a Biometric
Statistical Brain Asymmetry from Volumetric Images
Symmetry in Graphics
Kaleidoscopes
Tilings
Ornamental Design
Non-Euclidean Geometry
Polyhedra and Sculpture
Chaos and Fractals

Author(s): Yanxi Liu, Hagit Hel-Or.

Language: English
Commentary: 736649
Tags: Информатика и вычислительная техника;Искусственный интеллект;Распознавание образов