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arXiv · 1705.09928

Guided subdivision surfaces: modeling, shape and refinability

Kestutis Karciauskas·Jörg Peters
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Abstract

Converting quad meshes to smooth manifolds, guided subdivision offers a way to combine the good highlight line distributions of recent G-spline constructions with the refinability of subdivision surfaces. Specifically, we present a C2 subdivision algorithm of polynomial degree bi-6 and a curvature bounded algorithm of degree bi-5. We prove that the common eigen-structure of this class of subdivision algorithms is determined by their guide and demonstrate that the eigenspectrum (speed of contraction) can be adjusted without harming the shape.

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Kestutis Karciauskas, Jörg Peters. 2017-05-28. Guided subdivision surfaces: modeling, shape and refinability. https://arxiv.org/abs/1705.09928

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