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 to reconstruct an implicit representation of a branching object from a set of data points scattered on its surface. The method is based on the computation of a geometric skeleton inside the data set. This skeleton is simplified in order to filter noise and converted into skeletal elements - a graph of interconnected curves - that generate an implicit surface. We use Bézier triangles as extra skeletal elements to perform bulge free blends between branches while controlling the blend extent. The result is a smooth reconstruction of the object, that can be computed whatever its topology. The skeleton offers compact storage, and provides an underlying structure for the reconstructed object, making it easier to edit in a modeling or animation environment.
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Eric Ferley, Marie-Paule Cani, Dominique Attali. Skeletal Reconstruction of Branching Shapes. Computer Graphics Forum, Wiley, 1997, 16 (5), pp.283--293. ⟨10.1111/1467-8659.00195⟩. ⟨inria-00537528⟩

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