04223nam 22006735 450 991048366160332120200629212415.03-030-22192-X10.1007/978-3-030-22192-8(CKB)4100000009445200(DE-He213)978-3-030-22192-8(MiAaPQ)EBC5917294(PPN)243770022(EXLCZ)99410000000944520020191003d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierComputational Geometry, Topology and Physics of Digital Images with Applications Shape Complexes, Optical Vortex Nerves and Proximities /by James F. Peters1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (XXV, 440 p. 1853 illus., 205 illus. in color.) Intelligent Systems Reference Library,1868-4394 ;162Includes index.3-030-22191-1 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. .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.Intelligent Systems Reference Library,1868-4394 ;162Computational intelligenceArtificial intelligenceOptical data processingSignal processingImage processingSpeech processing systemsComputational Intelligencehttps://scigraph.springernature.com/ontologies/product-market-codes/T11014Artificial Intelligencehttps://scigraph.springernature.com/ontologies/product-market-codes/I21000Image Processing and Computer Visionhttps://scigraph.springernature.com/ontologies/product-market-codes/I22021Signal, Image and Speech Processinghttps://scigraph.springernature.com/ontologies/product-market-codes/T24051Computational intelligence.Artificial intelligence.Optical data processing.Signal processing.Image processing.Speech processing systems.Computational Intelligence.Artificial Intelligence.Image Processing and Computer Vision.Signal, Image and Speech Processing.006.3Peters James Fauthttp://id.loc.gov/vocabulary/relators/aut555283MiAaPQMiAaPQMiAaPQBOOK9910483661603321Computational Geometry, Topology and Physics of Digital Images with Applications2212368UNINA