The geometry of multiple images :: the laws that govern the formation of multiple images of a scene and some of their applications /
This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Over the last forty years, researchers have made great st...
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| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass. ; London :
MIT Press,
©2001.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems are relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications. |
| Beschreibung: | 1 online resource (xxiv, 644 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 597-634) and index. |
| ISBN: | 9780262272513 0262272512 0585392951 9780585392950 |
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| 245 | 1 | 4 | |a The geometry of multiple images : |b the laws that govern the formation of multiple images of a scene and some of their applications / |c Olivier Faugeras, Quang-Tuan Luong ; with contributions from Théo Papadopoulo. |
| 260 | |a Cambridge, Mass. ; |a London : |b MIT Press, |c ©2001. | ||
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| 505 | 0 | |a 1. A tour into multiple image geometry -- 2. Projective, affine and Euclidean geometries -- 3. Exterior and double or Grassmann-Cayley algebras -- 4. One camera -- 5. Two views: The Fundamental matrix -- 6. Estimating the Fundamental matrix -- 7. Stratification of binocular stereo and applications -- 8. Three views: The trifocal geometry -- 9. Determining the Trifocal tensor -- 10. Stratification of n[is equal to or greater than]3 views and applications -- 11. Self-calibration of a moving camera: From affine or projective calibration to full Euclidean calibration. | |
| 520 | |a This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems are relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Image processing |x Digital techniques. |0 http://id.loc.gov/authorities/subjects/sh85064447 | |
| 650 | 0 | |a Geometry. |0 http://id.loc.gov/authorities/subjects/sh85054133 | |
| 650 | 0 | |a Computer vision. |0 http://id.loc.gov/authorities/subjects/sh85029549 | |
| 650 | 6 | |a Traitement d'images |x Techniques numériques. | |
| 650 | 6 | |a Géométrie. | |
| 650 | 6 | |a Vision par ordinateur. | |
| 650 | 7 | |a digital imaging. |2 aat | |
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| 700 | 1 | |a Papadopoulo, Théo. | |
| 758 | |i has work: |a The geometry of multiple images (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG6TqkJdC49J9C7P6Y6kDq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| contents | 1. A tour into multiple image geometry -- 2. Projective, affine and Euclidean geometries -- 3. Exterior and double or Grassmann-Cayley algebras -- 4. One camera -- 5. Two views: The Fundamental matrix -- 6. Estimating the Fundamental matrix -- 7. Stratification of binocular stereo and applications -- 8. Three views: The trifocal geometry -- 9. Determining the Trifocal tensor -- 10. Stratification of n[is equal to or greater than]3 views and applications -- 11. Self-calibration of a moving camera: From affine or projective calibration to full Euclidean calibration. |
| ctrlnum | (OCoLC)49851660 |
| dewey-full | 621.36/7 |
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| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.36/7 |
| dewey-search | 621.36/7 |
| dewey-sort | 3621.36 17 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:15:17Z |
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| isbn | 9780262272513 0262272512 0585392951 9780585392950 |
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| publisher | MIT Press, |
| record_format | marc |
| spelling | Faugeras, Olivier, 1949- https://id.oclc.org/worldcat/entity/E39PBJvHf3YGkmyXmTvkxC3JDq http://id.loc.gov/authorities/names/n92040125 The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications / Olivier Faugeras, Quang-Tuan Luong ; with contributions from Théo Papadopoulo. Cambridge, Mass. ; London : MIT Press, ©2001. 1 online resource (xxiv, 644 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 597-634) and index. Print version record. 1. A tour into multiple image geometry -- 2. Projective, affine and Euclidean geometries -- 3. Exterior and double or Grassmann-Cayley algebras -- 4. One camera -- 5. Two views: The Fundamental matrix -- 6. Estimating the Fundamental matrix -- 7. Stratification of binocular stereo and applications -- 8. Three views: The trifocal geometry -- 9. Determining the Trifocal tensor -- 10. Stratification of n[is equal to or greater than]3 views and applications -- 11. Self-calibration of a moving camera: From affine or projective calibration to full Euclidean calibration. This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems are relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications. English. Image processing Digital techniques. http://id.loc.gov/authorities/subjects/sh85064447 Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Computer vision. http://id.loc.gov/authorities/subjects/sh85029549 Traitement d'images Techniques numériques. Géométrie. Vision par ordinateur. digital imaging. aat geometry. aat TECHNOLOGY & ENGINEERING Imaging Systems. bisacsh Computer vision fast Geometry fast Image processing Digital techniques fast Beeldbewerking. gtt Geometrische aspecten. (NL-LeOCL)09597279X gtt COMPUTER SCIENCE/General MATHEMATICS & STATISTICS/General Luong, Quang-Tuan. Papadopoulo, Théo. has work: The geometry of multiple images (Text) https://id.oclc.org/worldcat/entity/E39PCG6TqkJdC49J9C7P6Y6kDq https://id.oclc.org/worldcat/ontology/hasWork Print version: Faugeras, Olivier, 1949- Geometry of multiple images. Cambridge, Mass. ; London : MIT Press, ©2001 0262062208 (DLC) 00048970 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=61109 Volltext |
| spellingShingle | Faugeras, Olivier, 1949- The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications / 1. A tour into multiple image geometry -- 2. Projective, affine and Euclidean geometries -- 3. Exterior and double or Grassmann-Cayley algebras -- 4. One camera -- 5. Two views: The Fundamental matrix -- 6. Estimating the Fundamental matrix -- 7. Stratification of binocular stereo and applications -- 8. Three views: The trifocal geometry -- 9. Determining the Trifocal tensor -- 10. Stratification of n[is equal to or greater than]3 views and applications -- 11. Self-calibration of a moving camera: From affine or projective calibration to full Euclidean calibration. Image processing Digital techniques. http://id.loc.gov/authorities/subjects/sh85064447 Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Computer vision. http://id.loc.gov/authorities/subjects/sh85029549 Traitement d'images Techniques numériques. Géométrie. Vision par ordinateur. digital imaging. aat geometry. aat TECHNOLOGY & ENGINEERING Imaging Systems. bisacsh Computer vision fast Geometry fast Image processing Digital techniques fast Beeldbewerking. gtt Geometrische aspecten. (NL-LeOCL)09597279X gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85064447 http://id.loc.gov/authorities/subjects/sh85054133 http://id.loc.gov/authorities/subjects/sh85029549 (NL-LeOCL)09597279X |
| title | The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications / |
| title_auth | The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications / |
| title_exact_search | The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications / |
| title_full | The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications / Olivier Faugeras, Quang-Tuan Luong ; with contributions from Théo Papadopoulo. |
| title_fullStr | The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications / Olivier Faugeras, Quang-Tuan Luong ; with contributions from Théo Papadopoulo. |
| title_full_unstemmed | The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications / Olivier Faugeras, Quang-Tuan Luong ; with contributions from Théo Papadopoulo. |
| title_short | The geometry of multiple images : |
| title_sort | geometry of multiple images the laws that govern the formation of multiple images of a scene and some of their applications |
| title_sub | the laws that govern the formation of multiple images of a scene and some of their applications / |
| topic | Image processing Digital techniques. http://id.loc.gov/authorities/subjects/sh85064447 Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Computer vision. http://id.loc.gov/authorities/subjects/sh85029549 Traitement d'images Techniques numériques. Géométrie. Vision par ordinateur. digital imaging. aat geometry. aat TECHNOLOGY & ENGINEERING Imaging Systems. bisacsh Computer vision fast Geometry fast Image processing Digital techniques fast Beeldbewerking. gtt Geometrische aspecten. (NL-LeOCL)09597279X gtt |
| topic_facet | Image processing Digital techniques. Geometry. Computer vision. Traitement d'images Techniques numériques. Géométrie. Vision par ordinateur. digital imaging. geometry. TECHNOLOGY & ENGINEERING Imaging Systems. Computer vision Geometry Image processing Digital techniques Beeldbewerking. Geometrische aspecten. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=61109 |
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