Continuous medial representations for geometric object modeling (2003)
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| Venue: | in 2D and 3D”, Image and Vision Computing |
| Citations: | 10 - 5 self |
BibTeX
@INPROCEEDINGS{Yushkevich03continuousmedial,
author = {Paul Yushkevich and P. Thomas Fletcher and Sarang Joshi and Andrew Thall and Stephen M. Pizer},
title = {Continuous medial representations for geometric object modeling},
booktitle = {in 2D and 3D”, Image and Vision Computing},
year = {2003},
pages = {17--27}
}
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Abstract
We describe a novel continuous medial representation for object geometry and a deformable templates method for fitting the representation to images. Our representation simultaneously describes the boundary and medial loci of geometrical objects, always maintaining Blum’s symmetric axis transform (SAT) relationship. Cubic b-splines define the continuous medial locus and the associated thickness field, which in turn generate the object boundary. We present geometrical properties of the representation and derive a set of constraints on the b-spline parameters. The 2D representation encompasses branching medial loci; the 3D version can model objects with a single medial surface, and the extension to branching medial surfaces is a subject of ongoing research. We present preliminary results of segmenting 2D and 3D medical images. The representation is ultimately intended for use in statistical shape analysis.
