Computing Multiscale Curve and Surface Skeletons of Genus 0 Shapes Using a Global Importance Measure

Dennie Reniers, Jarke J. van Wijk, Alexandru Telea

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Abstract

We present a practical algorithm for computing robust, multiscale curve and surface skeletons of 3D objects of genus zero. 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.
Original languageEnglish
Title of host publicationEPRINTS-BOOK-TITLE
PublisherUniversity of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Number of pages14
Publication statusPublished - 2007

Keywords

  • importance measure
  • curve skeletons
  • surface skeletons

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