We present a practical algorithm for computing robust multiscale curve and surface skeletons of 3D objects of genus zero. Based on a model that 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.
|Journal||IEEE Transactions on Visualization and Computer Graphics|
|Publication status||Published - 2008|
Reniers, D., Wijk, van, J. J., & Telea, A. C. (2008). Computing multiscale curve and surface skeletons of genus 0 shapes using a global importance measure. IEEE Transactions on Visualization and Computer Graphics, 14(2), 355-368. https://doi.org/10.1109/TVCG.2008.23