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Computational Geometry, Topology and Physics of Digital Images with Applications - Shape Complexes, Optical Vortex Nerves and Proximities (Paperback, 1st ed. 2020)
Loot Price: R5,402
Discovery Miles 54 020
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Computational Geometry, Topology and Physics of Digital Images with Applications - Shape Complexes, Optical Vortex Nerves and Proximities (Paperback, 1st ed. 2020)
Series: Intelligent Systems Reference Library, 162
Expected to ship within 10 - 15 working days
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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.
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