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The geometry of multiple images

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The geometry of multiple images

The geometry of multiple images

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

644 pages, parution le 08/04/2004

Résumé

Since the 1960s, 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 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.

Sommaire

  • A tour into multiple image geometry
  • Projective, affine and Euclidean geometries
  • Exterior and double or Grassmann-Cayley algebras
  • One camera
  • Estimating the fundamental matrix
  • Stratification of binocular stereo and applications
  • Determining the Trifocal tensor
  • Stratification of 3 views and applications
  • Self-calibration of a moving camera: from affine or projective calibration to full Euclidean calibration
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Caractéristiques techniques du livre "The geometry of multiple images"

  PAPIER
Éditeur(s) The MIT Press
Auteur(s) Olivier Faugeras, Quang-tuan Luong
Parution 08/04/2004
Nb. de pages 644
Format 19 x 22,5
Couverture Broché
Poids 1105g
Intérieur Noir et Blanc
EAN13 9780262562041
ISBN13 978-0-262-56204-1

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