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Anisotropic convolution surfaces

Alvaro Javier Fuentes Suárez 1 Evelyne Hubert 1 Cédric Zanni 2 
1 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
CRISAM - Inria Sophia Antipolis - Méditerranée , NKUA - National and Kapodistrian University of Athens
2 MFX - Matter from Graphics
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
Abstract : Convolution surfaces with 1D skeletons have been limited to close-to-circular normal sections. The new formalism presented here allows for ellipsoidal normal sections. Anisotropy is prescribed on G^1 skeletal curves, chosen as circular splines, by a rotation angle and the three radii of an ellipsoid at each extremity. This lightweight model creates smooth shapes that previously required tweaking the skeleton or supplementing it with 2D pieces. The scale invariance of our formalism achieves excellent radii control and thus lends itself to approximate a variety of shapes. The construction of a scaffold is extended to skeletons with G 1 branches. It projects onto the convolution surface as a quad mesh with skeleton bound edge-flow.
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Alvaro Javier Fuentes Suárez, Evelyne Hubert, Cédric Zanni. Anisotropic convolution surfaces. Computers and Graphics, 2019, 82, pp.106-116. ⟨10.1016/j.cag.2019.05.018⟩. ⟨hal-02137325⟩



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