A Continuous 3-D Medial Shape Model With Branching

Abstract : We present a new, continuously defined three-dimensional medial shape representation based on subdivision surfaces. The shape is modeled via its medial axis, and the associated boundary is computed directly from this axis at every point. Our model is parameterized over a fixed domain, so comparison among different shapes is possible. It is the first such model to support branch curves, which allows it to represent complex medial axes with more than one medial sheet.
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Xavier Pennec and Sarang Joshi. 1st MICCAI Workshop on Mathematical Foundations of Computational Anatomy: Geometrical, Statistical and Registration Methods for Modeling Biological Shape Variability, Oct 2006, Copenhagen, Denmark. pp.80-89, 2006
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  • HAL Id : inria-00634194, version 1

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Timothy B. Terriberry, Guido Gerig. A Continuous 3-D Medial Shape Model With Branching. Xavier Pennec and Sarang Joshi. 1st MICCAI Workshop on Mathematical Foundations of Computational Anatomy: Geometrical, Statistical and Registration Methods for Modeling Biological Shape Variability, Oct 2006, Copenhagen, Denmark. pp.80-89, 2006. 〈inria-00634194〉

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