Computational Geometry, Topology and Physics of Digital Images with Applications

Offers a clear introduction to the computational topology of digital images Focuses on the application of computational topology in the shape analysis of visual scenes

Presents applications of computation topology in a variety of visual contexts and sample solutions to problems with Mathematica and Matlab

Offers a clear introduction to the computational topology of digital images Focuses on the application of computational topology in the shape analysis of visual scenes Presents applications of computation topology in a variety of visual contexts and sample solutions to problems with Mathematica and Matlab

Zusammenfassung

"The book is presented in a very accessible fashion. ... The book is suitable for graduate students and researchers interested in computational geometry and computer vision. Moreover, it can be used as a professional reference." (Krzysztof Gdawiec, zbMATH 1437.68005, 2020)

Inhalt
Computational Geometry, Topology and Physics of Visual Scenes.- Cell Complexes, Filaments, Vortexes and Shapes Within a Shape.- Shape Fingerprints, Geodesic Trails and Free Abelian Groups on Skeletal Vortexes.- What Nerve Complexes Tell Us About Image Shapes.