Computing multiscale curve and surface skeletons of genus 0 shapes using a global importance measure

IEEE Transactions on Visualization and Computer Graphics
Dennie ReniersAlexandru Telea

Abstract

We present a practical algorithm for computing robust, multiscale curve and surface skeletons of 3D objects. Based on a model which follows an advection principle, we assign to each point on the skeleton a part of the object surface, called the collapse. The size of the collapse is used as a uniform importance measure for the curve and surface skeleton, so that both can be simplified by imposing a single threshold on this intuitive measure. The simplified skeletons are connected by default, without special precautions, due to the monotonicity of the importance measure. The skeletons possess additional desirable properties: They are centered, robust to noise, hierarchical, and provide a natural skeleton-to-boundary mapping. We present a voxel-based algorithm that is straightforward to implement and simple to use. We illustrate our method on several realistic 3D objects.

References

Sep 21, 2004·IEEE Transactions on Pattern Analysis and Machine Intelligence·Peter Giblin, Benjamin B Kimia
Apr 28, 2005·Medical Image Analysis·Sylvain BouixAllen Tannenbaum
Apr 4, 2006·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Andrea Torsello, Edwin R Hancock
Mar 16, 2007·IEEE Transactions on Visualization and Computer Graphics·Nicu D CorneaPatrick Min

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