Proceedings of the twenty-second annual symposium on Computational geometry
Quality mesh generation for molecular skin surfaces using restricted union of balls
Computational Geometry: Theory and Applications
3D ball skinning using PDEs for generation of smooth tubular surfaces
Computer-Aided Design
Skinning of circles and spheres
Computer Aided Geometric Design
| Hi-index | 0.00 |
This paper considers the problem of computing an interpolating skin of a ordered set of discrete 2D balls. By construction, the skin is constrained to be C1 continuous, and for each ball, it touches the ball at a point and is tangent to the ball at the point of contact. Using an energy formulation, we derive differential equations that are designed to minimize the skin's arc length, curvature, or convex combination of both. Given an initial skin, we update the skin's parametric representation using the differential equations until convergence occurs. We demonstrate the method's usefulness in generating interpolating skins of balls of different sizes and in various configurations.