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The geometry of multiple images : the laws that govern the formation of multiple images of a scene and some of their applications

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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.OCLC-licensed vendor bibliographic record.

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Detail Information

Series Title

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Call Number

006 FAU g

Publisher

Cambridge, Mass. ; : MIT Press,., 2001.

Collation

1 online resource (xxiv, 644 pages) :illustrations

Language

English

ISBN/ISSN

9780262272513

Classification

006

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Subject(s)

image processing
Computer vision.
Geometry.

Specific Detail Info

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Statement of Responsibility

Olivier Faugeras, Quang-Tuan Luong ; with contributions from Th?eo Papadopoulo.

Other Information

Cataloger

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Source

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Validator

maya

Digital Object Identifier (DOI)

https://doi.org/10.7551/mitpress/3259.001.0001

Journal Volume

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Journal Issue

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