具有G1约束的曲线补全的典型曲线。

4区计算机科学 Q1 Arts and Humanities

Visual Computing for Industry, Biomedicine, and Art Pub Date : 2021-11-26 DOI:10.1186/s42492-021-00095-9

Chuan He, Gang Zhao, Aizeng Wang, Fei Hou, Zhanchuan Cai, Shaolin Li

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引用次数: 0

摘要

本文提出了一种利用单调曲率的典型曲线进行平面G1插值的新算法。将G1插值问题转化为一个非线性方程组，并给出检验是否有解的充分条件。将该算法应用于曲线补全任务。该方法的主要优点是结构简单，与NURBS兼容，曲率单调。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Typical curve with G1 constraints for curve completion.

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Typical curve with G1 constraints for curve completion.

This paper presents a novel algorithm for planar G1 interpolation using typical curves with monotonic curvature. The G1 interpolation problem is converted into a system of nonlinear equations and sufficient conditions are provided to check whether there is a solution. The proposed algorithm was applied to a curve completion task. The main advantages of the proposed method are its simple construction, compatibility with NURBS, and monotonic curvature.

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来源期刊

Visual Computing for Industry, Biomedicine, and Art Arts and Humanities-Visual Arts and Performing Arts

CiteScore

5.60

自引率

0.00%

发文量

审稿时长

5 weeks