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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 connecteddoi:10.1109/tvcg.2008.23 pmid:18192715 fatcat:jg3zwkwkurh63narkjxi4wfpce