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Computational Geometry, Topology and Physics of Digital Images with Applications: Shape Complexes, Optical Vortex Nerves and Proximities: Intelligent Systems Reference Library, cartea 162

Autor James F. Peters
en Limba Engleză Paperback – 15 oct 2020
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, computationalphysics 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.
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Specificații

ISBN-13: 9783030221942
ISBN-10: 3030221946
Pagini: 440
Ilustrații: XXV, 440 p. 1853 illus., 205 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.65 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Intelligent Systems Reference Library

Locul publicării:Cham, Switzerland

Cuprins

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. 

Recenzii

“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)

Textul de pe ultima copertă

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, computationalphysics 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.

Caracteristici

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