Curve and surface reconstruction :: algorithms with mathematical analysis /
Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this po...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
©2007.
|
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics ;
23. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject. |
| Beschreibung: | 1 online resource (xiii, 214 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 207-211) and index. |
| ISBN: | 9780511261336 0511261330 0511260768 9780511260766 9780511546860 0511546866 1107169089 9781107169081 1280749334 9781280749339 9786610749331 6610749337 0511259530 9780511259531 0511320094 9780511320095 0511260202 9780511260209 |
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| 505 | 0 | 0 | |g 1. |t Basics -- |g 2. |t Curve reconstruction -- |g 3. |t Surface samples -- |g 4. |t Surface reconstruction -- |g 5. |t Undersampling -- |g 6. |t Watertight reconstructions -- |g 7. |t Noisy samples -- |g 8. |t Noise and reconstruction -- |g 9. |t Implicit surface-based reconstructions -- |g 10. |t Morse theoretic reconstructions. |
| 520 | |a Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject. | ||
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| 650 | 6 | |a Modèles de surfaces. | |
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| _version_ | 1816881658305970176 |
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| author | Dey, Tamal K. (Tamal Krishna), 1964- |
| author_GND | http://id.loc.gov/authorities/names/n2006041302 |
| author_facet | Dey, Tamal K. (Tamal Krishna), 1964- |
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| contents | Basics -- Curve reconstruction -- Surface samples -- Surface reconstruction -- Undersampling -- Watertight reconstructions -- Noisy samples -- Noise and reconstruction -- Implicit surface-based reconstructions -- Morse theoretic reconstructions. |
| ctrlnum | (OCoLC)182839691 |
| dewey-full | 516.3/62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:13Z |
| institution | BVB |
| isbn | 9780511261336 0511261330 0511260768 9780511260766 9780511546860 0511546866 1107169089 9781107169081 1280749334 9781280749339 9786610749331 6610749337 0511259530 9780511259531 0511320094 9780511320095 0511260202 9780511260209 |
| language | English |
| oclc_num | 182839691 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiii, 214 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | Cambridge monographs on applied and computational mathematics ; |
| series2 | The Cambridge monographs on applied and computational mathematics ; |
| spelling | Dey, Tamal K. (Tamal Krishna), 1964- https://id.oclc.org/worldcat/entity/E39PBJkHr6YqrtQFP9jk89fDv3 http://id.loc.gov/authorities/names/n2006041302 Curve and surface reconstruction : algorithms with mathematical analysis / Tamal K. Dey. Cambridge ; New York : Cambridge University Press, ©2007. 1 online resource (xiii, 214 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier The Cambridge monographs on applied and computational mathematics ; 23 Includes bibliographical references (pages 207-211) and index. Print version record. 1. Basics -- 2. Curve reconstruction -- 3. Surface samples -- 4. Surface reconstruction -- 5. Undersampling -- 6. Watertight reconstructions -- 7. Noisy samples -- 8. Noise and reconstruction -- 9. Implicit surface-based reconstructions -- 10. Morse theoretic reconstructions. Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book, first published in 2007, shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi- and Delaunay-based techniques, implicit surface-based methods and Morse theory-based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject. English. Curves on surfaces Mathematical models. Surfaces Mathematical models. Surfaces, Models of. http://id.loc.gov/authorities/subjects/sh85130740 Courbes sur les surfaces Modèles mathématiques. Surfaces (Mathématiques) Modèles mathématiques. Modèles de surfaces. MATHEMATICS Geometry Differential. bisacsh Curves on surfaces Mathematical models fast Surfaces Mathematical models fast Surfaces, Models of fast Krommen. gtt Oppervlakken. gtt Algoritmen. gtt has work: Curve and surface reconstruction (Text) https://id.oclc.org/worldcat/entity/E39PCGPbPjRvp6fdJpk78FrgJC https://id.oclc.org/worldcat/ontology/hasWork Print version: Dey, Tamal K. (Tamal Krishna), 1964- Curve and surface reconstruction. Cambridge ; New York : Cambridge University Press, ©2007 0521863708 9780521863704 (DLC) 2006017359 (OCoLC)69680025 Cambridge monographs on applied and computational mathematics ; 23. http://id.loc.gov/authorities/names/n95073089 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=179832 Volltext |
| spellingShingle | Dey, Tamal K. (Tamal Krishna), 1964- Curve and surface reconstruction : algorithms with mathematical analysis / Cambridge monographs on applied and computational mathematics ; Basics -- Curve reconstruction -- Surface samples -- Surface reconstruction -- Undersampling -- Watertight reconstructions -- Noisy samples -- Noise and reconstruction -- Implicit surface-based reconstructions -- Morse theoretic reconstructions. Curves on surfaces Mathematical models. Surfaces Mathematical models. Surfaces, Models of. http://id.loc.gov/authorities/subjects/sh85130740 Courbes sur les surfaces Modèles mathématiques. Surfaces (Mathématiques) Modèles mathématiques. Modèles de surfaces. MATHEMATICS Geometry Differential. bisacsh Curves on surfaces Mathematical models fast Surfaces Mathematical models fast Surfaces, Models of fast Krommen. gtt Oppervlakken. gtt Algoritmen. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85130740 |
| title | Curve and surface reconstruction : algorithms with mathematical analysis / |
| title_alt | Basics -- Curve reconstruction -- Surface samples -- Surface reconstruction -- Undersampling -- Watertight reconstructions -- Noisy samples -- Noise and reconstruction -- Implicit surface-based reconstructions -- Morse theoretic reconstructions. |
| title_auth | Curve and surface reconstruction : algorithms with mathematical analysis / |
| title_exact_search | Curve and surface reconstruction : algorithms with mathematical analysis / |
| title_full | Curve and surface reconstruction : algorithms with mathematical analysis / Tamal K. Dey. |
| title_fullStr | Curve and surface reconstruction : algorithms with mathematical analysis / Tamal K. Dey. |
| title_full_unstemmed | Curve and surface reconstruction : algorithms with mathematical analysis / Tamal K. Dey. |
| title_short | Curve and surface reconstruction : |
| title_sort | curve and surface reconstruction algorithms with mathematical analysis |
| title_sub | algorithms with mathematical analysis / |
| topic | Curves on surfaces Mathematical models. Surfaces Mathematical models. Surfaces, Models of. http://id.loc.gov/authorities/subjects/sh85130740 Courbes sur les surfaces Modèles mathématiques. Surfaces (Mathématiques) Modèles mathématiques. Modèles de surfaces. MATHEMATICS Geometry Differential. bisacsh Curves on surfaces Mathematical models fast Surfaces Mathematical models fast Surfaces, Models of fast Krommen. gtt Oppervlakken. gtt Algoritmen. gtt |
| topic_facet | Curves on surfaces Mathematical models. Surfaces Mathematical models. Surfaces, Models of. Courbes sur les surfaces Modèles mathématiques. Surfaces (Mathématiques) Modèles mathématiques. Modèles de surfaces. MATHEMATICS Geometry Differential. Curves on surfaces Mathematical models Surfaces Mathematical models Surfaces, Models of Krommen. Oppervlakken. Algoritmen. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=179832 |
| work_keys_str_mv | AT deytamalk curveandsurfacereconstructionalgorithmswithmathematicalanalysis |