Hierarchical Spline Approximation of the Signed Distance Function

We present a method to compute the medial axis of a smooth curve or surface by using PHT-spline (polynomial splines over hierarchical T-meshes) hierarchical approximation. In particular, we focus on closed parametric curves in the plane and implicitly defined surfaces in space. A mesh of the medial axis of the given boundary is obtained by applying suitable thinning and smoothing algorithms to the deepest level of the hierarchical T-mesh.

• Type: Journal
• Year: 2010
• Where: SMI
• Authors: Xinghua Song, Bert Jüttler, Adrien Poteaux
• Keywords: Hierarchical, Hierarchical Approximation, Image Analysis, Medial Axis, SMI 2010