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Geometric and Algebraic Aspects of 3D Affine and Projective Structures from Perspective 2D Views

Author(s)
Shashua, Amnon
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Abstract
We investigate the differences --- conceptually and algorithmically --- between affine and projective frameworks for the tasks of visual recognition and reconstruction from perspective views. It is shown that an affine invariant exists between any view and a fixed view chosen as a reference view. This implies that for tasks for which a reference view can be chosen, such as in alignment schemes for visual recognition, projective invariants are not really necessary. We then use the affine invariant to derive new algebraic connections between perspective views. It is shown that three perspective views of an object are connected by certain algebraic functions of image coordinates alone (no structure or camera geometry needs to be involved).
Date issued
1993-07-01
URI
http://hdl.handle.net/1721.1/7216
Other identifiers
AIM-1405
CBCL-078
Series/Report no.
AIM-1405CBCL-078
Keywords
visual recognition, strucutre from motion, projectivesgeometry, 3D reconstruction

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  • CBCL Memos (1993 - 2004)

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