The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications (The MIT Press) by Olivier Faugeras (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “”This is a novel, well-written, thorough presentation of a topic of clear interest in the computer vision field.” Review This is an excellent book that will be widely read and should serve as a useful reference for the machine vision and computer graphics communities.―Seth Teller, Laboratory of Computer Science, MIT About the Author Olivier Faugeras is Research Director and head of a computer vision group at INRIA and Adjunct Professor of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology. He is the author of Three-Dimensional Computer Vision (MIT Press, 1993).Quang-Tuan Luong is a computer scientist in the Artifical Intelligence Center at SRI International, California. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐great book

⭐My interest in this item largely stems from its use of the language of differential forms in its treatment of the mathematics of vision and the geometry of image formation. The index free tensorial background is a very natural framework for geometry albeit its heavy use has been limited to those in the theoretical physics community hitherto. In this respect this is pretty much the only treatment on the uses of those methods in vision and image construction. It is, however, a very solid text. In addition to the exterior calculus language used, it is a nice refresher of geometry in general. I figured out that my understanding of the concept of perspective was rather limited prior to reading it. Moreover, the treatment of the affine and projective geometries is very well motivated and would benefit anyone whose work partially or fully make use of those concepts. I wish visual art students could also dig into it and take out as much as they could.In the final analysis, the nature of image formation is a very fundamental issue in vision and in this respect the rigorous use of geometric tools is instrumental and instructive. With that said, this is a rather well written account of the mathematical foundations of image formation. The price is very enticing as well. Not to be missed by anyone who is moved by the marvels of geometry.

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