Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants

Kai Li, Xiaohong Jia, Falai Chen

Abstract: Highlights•An efficient approach to computing a set of moving planes that follow the given rational parametric surface is proposed.•The moving planes are significant to surface implicitization, surface intersection, inversion formula, etc.•The method has simpler coefficients, improved efficiency and superior numerical stability compared with traditional methods.