Computational Geometry, Topology and Physics of Digital Images With Applications: Shape Complexes, Optical Vortex Nerves and Proximities

Peters, James F.

ISBN 10: 3030221946 / ISBN 13: 9783030221942

Editore: Springer Nature, 2020

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468 pages. 9.25x6.10x1.06 inches. In Stock. Codice articolo x-3030221946

Dati bibliografici

Titolo: Computational Geometry, Topology and Physics...

Casa editrice: Springer Nature

Data di pubblicazione: 2020

Legatura: Paperback

Condizione: Brand New

Descrizione articolo

Riassunto:

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

Dalla quarta di copertina:

This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes.

The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.