Learning an Atlas from Unlabeled Point-Sets

  • Authors:
  • Haili Chui;Anand Rangarajan

  • Affiliations:
  • -;-

  • Venue:
  • MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
  • Year:
  • 2001

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Abstract

One of the key challenges in deformable shape modeling is the problem of estimating a meaningful average or mean shape from a set of unlabeled shapes. We present a new joint clustering and matching algorithm that is capable of computing such a mean shape from multiple shape samples which are represented by unlabeled point-sets. An iterative bootstrap process is used wherein multiple shape sample point-sets are non-rigidly deformed to the emerging mean shape, with subsequent estimation of the mean shape based on these non-rigid alignments. The process is entirely sym-metric with no bias toward any of the original shape sam-ple point-sets. We believe that this method can be especially useful for creating atlases of various shapes present in med-ical images. We have applied the method to create a mean shape from nine hand-segmented 2D corpus callosum data sets.