Customer Reviews

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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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.