Model-Based Recognition of 3D Curves from One View.
MARYLAND UNIV COLLEGE PARK COMPUTER VISION LAB
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It is well known there are no geometric invariants of a projection from 3D to 2D. However, given some modeling assumptions about the 3D object, such invariants can be found. The modeling assumptions should be sufficiently strong to enable us to find such invariants, but not stronger than necessary. In this paper we find such modeling assumptions for general 3D curves under affine projection. We show that if we know one of the two affine-invariant curvatures at each point of the curve, we can derive the other one from its image. We can also derive the point correspondence between the curve and the image.
- Numerical Mathematics