Constructing 2D Curve Atlases

Authors:
Thomas B. Sebastian;Philip N. Klein;Benjamin B. Kimia;Joseph J. Crisco
Affiliations:
-;-;-;-
Venue:
MMBIA '00 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis
Year:
2000

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Abstract

We present an approach to computing a curve atlas based on deriving a correspondence between two curves. This correspondence is based on a notion of an alignment curve and on a measure of similarity between the intrinsic properties of the curve, namely, length and curvature. The optimal correspondence is found by an efficient dynamic-programming method. This is then used to compute an average for a set of curves and applied to computing the averages of bone shapes and corpus callosum as examples, towards constructing a computational atlas. The proposed notion of alignment also leads to a registration method, which is illustrated with several examples.