Ebook: Computational Symmetry in Computer Vision and Computer Graphics

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