1 School of Computer Science, Cardiff University, Cardiff, CF24 3AA, U.K.; 2 Key Lab of Mathematics Mechamization, AMSS, Chinese Academy of Sciences, Beijing 100080, P.R. China
Abstract:
Algorithms to generate a triangular or a quadrilateral interpolant with G1-continuity are given in this paper for arbitrary scattered data with associated normal vectors over a prescribed triangular or quadrilateral decomposition. The interpolants are constructed with a general method to generate surfaces from moving Bezier curves under geometric constraints. With the algorithm, we may obtain interpolants in complete symbolic parametric forms, leading to a fast computation of the interpolant. A dynamic interpolation solid modelling software package DISM is implemented based on the algorithm which can be used to generate and manipulate solid objects in an interactive way.