Extracting affine deformations from image patches. I. Finding scaleand rotation
Manmatha, R.
Oliensis, J.
Dept. of Comput Sci. Massachusetts Univ., Amherst, MA;
Abstract
Image deformations due to relative motion between an observer and
an object may be used to infer 3-D structure. Up to the first order,
these deformations can be written in terms of an affine transform. A
novel approach is adopted to measuring affine transforms which correctly
handles the problem of corresponding deformed patches. The patches are
filtered using Gaussians and derivatives of Gaussians and the filters
deformed according to the affine transform. The problem of finding the
affine transform is therefore reduced to that of finding the appropriate
deformed filter to use. In the special case where the affine transform
can be written as a scale change and an in-plane rotation, the Gaussian
and first derivative equations are solved for the scale. The robustness
of the method is demonstrated experimentally
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