Guided subdivision surfaces: modeling, shape and refinability
For computer graphics and geometric modeling, this work improves the shape quality of subdivision surfaces while maintaining refinability, though it is an incremental advance over existing G-spline and subdivision methods.
The paper presents C2 and curvature bounded subdivision algorithms for converting quad meshes to smooth manifolds, achieving good highlight line distributions with refinability. The algorithms are of polynomial degree bi-6 and bi-5, respectively.
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.