Skeletal Reconstruction of Branching Shapes

Eric Ferley 1 Marie-Paule Cani 1, * Dominique Attali 2
* Corresponding author
1 iMAGIS - Models, Algorithms and Geometry for Computer Generated Image Graphics
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes
2 INFODIS
TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : We present a new method for the implicit reconstruction of branching shapes from a set of scattered data points. The method is based on the computation of a geometric skeleton inside the data set. This skeleton is simplied in order to lter noise and converted into skeletal elements { a graph of interconnected curves { that generate an implicit surface. We use Bezier triangles as extra skeletal elements to perform bulge free blends between branches while controlling the blend extent. This leads to a smooth implicit representation of the shape, directly computed in a purely geometric way.
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Eric Ferley, Marie-Paule Cani, Dominique Attali. Skeletal Reconstruction of Branching Shapes. Implicit Surfaces, Oct 1996, Eindhoven, Netherlands. pp.127--142. ⟨inria-00537532⟩

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