Shape representation via best orthogonal basis selection

Ashraf Mohamed, Christos Davatzikos

Research output: Contribution to journalConference articlepeer-review

11 Scopus citations


We formulate the problem of finding a statistical representation of shape as a best basis selection problem in which the goal is to choose the basis for optimal shape representation from a very large library of bases. In this work, our emphasis is on applying this basis selection framework using the wavelet packets library to estimate the probability density function of a class of shapes from a limited number of training samples. Wavelet packets offer a large number of complete orthonormal bases which can be searched for the basis that optimally allows the analysis of shape details at different scales. The estimated statistical shape distribution is capable of generalizing to shape examples not encountered during training, while still being specific to the modeled class of shapes. Using contours from two-dimensional MRI images of the corpus callosum, we demonstrate the ability of this approach to approximate the probability distribution of the modeled shapes, even with a few training samples.

Original languageEnglish (US)
Pages (from-to)225-233
Number of pages9
JournalLecture Notes in Computer Science
Issue numberPART 1
StatePublished - 2004
EventMedical Image Computing and Computer-Assisted Intervention, MICCAI 2004 - 7th International Conference, Proceedings - Saint-Malo, France
Duration: Sep 26 2004Sep 29 2004

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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