Computational geometry, topology and physics of digital images with applications: shape complexes, optical vortex nerves and proximities
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 compu...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer
[2020]
|
| Schriftenreihe: | Intelligent systems reference library
volume 162 |
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | 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 |
| Beschreibung: | xxv, 440 Seiten Illustrationen 235 mm |
| ISBN: | 9783030221942 |
Internformat
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| 100 | 1 | |a Peters, James F. |e Verfasser |0 (DE-588)105092486X |4 aut | |
| 245 | 1 | 0 | |a Computational geometry, topology and physics of digital images with applications |b shape complexes, optical vortex nerves and proximities |c James F. Peters |
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| 520 | |a 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 | ||
| 650 | 4 | |a Computational intelligence | |
| 650 | 4 | |a Artificial intelligence | |
| 650 | 4 | |a Optical data processing | |
| 650 | 4 | |a Signal processing | |
| 650 | 4 | |a Image processing | |
| 650 | 4 | |a Speech processing systems | |
| 650 | 4 | |a Engineering | |
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Datensatz im Suchindex
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| id | DE-604.BV046927930 |
| illustrated | Illustrated |
| index_date | 2024-07-03T15:33:36Z |
| indexdate | 2024-07-10T08:57:44Z |
| institution | BVB |
| isbn | 9783030221942 |
| language | English |
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| physical | xxv, 440 Seiten Illustrationen 235 mm |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Springer |
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| series2 | Intelligent systems reference library |
| spelling | Peters, James F. Verfasser (DE-588)105092486X aut Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities James F. Peters Cham, Switzerland Springer [2020] xxv, 440 Seiten Illustrationen 235 mm txt rdacontent n rdamedia nc rdacarrier Intelligent systems reference library volume 162 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 Computational intelligence Artificial intelligence Optical data processing Signal processing Image processing Speech processing systems Engineering Hardcover, Softcover / Technik/Allgemeines, Lexika Erscheint auch als Online-Ausgabe 978-3-030-22192-8 |
| spellingShingle | Peters, James F. Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities Computational intelligence Artificial intelligence Optical data processing Signal processing Image processing Speech processing systems Engineering |
| title | Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities |
| title_auth | Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities |
| title_exact_search | Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities |
| title_exact_search_txtP | Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities |
| title_full | Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities James F. Peters |
| title_fullStr | Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities James F. Peters |
| title_full_unstemmed | Computational geometry, topology and physics of digital images with applications shape complexes, optical vortex nerves and proximities James F. Peters |
| title_short | Computational geometry, topology and physics of digital images with applications |
| title_sort | computational geometry topology and physics of digital images with applications shape complexes optical vortex nerves and proximities |
| title_sub | shape complexes, optical vortex nerves and proximities |
| topic | Computational intelligence Artificial intelligence Optical data processing Signal processing Image processing Speech processing systems Engineering |
| topic_facet | Computational intelligence Artificial intelligence Optical data processing Signal processing Image processing Speech processing systems Engineering |
| work_keys_str_mv | AT petersjamesf computationalgeometrytopologyandphysicsofdigitalimageswithapplicationsshapecomplexesopticalvortexnervesandproximities |