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Date of Publication:2017-01-01

Journal:计算机工程与应用

Affiliation of Author(s):运载工程与力学学部

Issue:3

Page Number:17-22

ISSN No.:1002-8331

Abstract:A new method of constructing spatial C1 cubic PH curve is proposed to solve the arc-length preserving problem of parametric curve interpolation with given endpoint positions, tangent vectors and arc-length. Quaternion interpolation is adopted for describing the change of tangent vectors and two segment interpolations are joined together at the middle. By means of calculating the length of PH curve accurately, the interpolation curve of any given arc-length can be provided easily and quickly. The existence of solution of interpolation governing equation is also demonstrated. Numerical exam-ples are given to show the effectiveness and practicability of this method.

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