Averaged Template Matching Equations
Hirani, A., J. E. Marsden, and J. Arvo
Springer Lecture Notes in Computer Science, 2134, 528-543.
Abstract:
By exploiting an analogy with averaging procedures in fluid dynamics, we
present a set of averaged template matching equations. These equations are
analogs of the exact template matching equations that retain all the
geometric properties associated with the diffeomorphism group, and which
are expected to average out small scale features and so should, as in
hydrodynamics, be more computationally efficient for resolving the larger
scale features. From a geometric point of view, the new equations may be
viewed as coming from a change in norm that is used to measure the
distance between images. The results in this paper represent first steps
in a longer term program: what is here is only for binary images and an
algorithm for numerical computation is not yet operational. Some
suggestions for further steps to develop the results given in this paper
are suggested.