Constructing 2D Curve Atlases

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.

Reference

@inproceedings{Sebastian:etal:MMBIA2000,
  author = {Thomas B. Sebastian and Joseph J. Crisco and Philip N. Klein and Benjamin B. Kimia},
  title = {Constructing 2{D} Curve Atlases},
  booktitle = {Proceedings of Mathematical Methods in Biomedical Image Analysis},
  pages = {70-77}, 
  year = {2000}, 

}

LEMS Webpages on Aligning Curves

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