Generating Symbolic Interpolants for Scattered Data with Normal Vectors

Generating Symbolic Interpolants for Scattered

Data with Normal Vectors

Ming Li ;Xiao-Shan Gao;Jin-San Cheng

【期刊名称】《计算机科学技术学报（英文版）》 【年(卷),期】2005(020)006

【摘要】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.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. 【总页数】14页(861-874)

【关键词】solid modelling;Hermite interpolation surface;Bézier curve;sweeping curve

【作者】Ming Li ;Xiao-Shan Gao;Jin-San Cheng

【作者单位】School of Computer Science, Cardiff University, Cardiff, CF24 3AA, U.K.;Key Lab of Mathematics Mechamization, AMSS, Chinese Academy of Sciences, Beijing 100080, P.R. China;Key Lab of Mathematics Mechamization, AMSS, Chinese Academy of Sciences, Beijing 100080,

P.R. China 【正文语种】中文 【中图分类】TP3 【相关文献】

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