Abstract
In this paper, we propose methods to find a $G^{k}$ -multi-degree reduction of disk Bezier curves for $k=0,1$ . The methods are based on degree reducing the center and radius curves using $G^{k}$ -continuity and minimizing the corresponding errors. Some examples and comparisons are given to illustrate the efficiency and simplicity of the proposed methods. The examples show that by using our proposed methods, we get $G^{0}$ -, and $G^{1}$ -degree reductions, while having less errors than existing methods, which are without any continuity conditions.
Highlights
Introduction and preliminariesLack of robustness is a fundamental issue in computer aided design and solid modeling
Degree reduction of disk Bézier curves has not been tackled by many researchers
7 Conclusions In this paper, we presented WB, G, and G -multi-degree reduction methods of disk Bézier curves
Summary
Introduction and preliminariesLack of robustness is a fundamental issue in computer aided design and solid modeling. A disk Bézier curve is defined as follows. We investigate, in particular, the cases of G -, and G -continuity with degree reduction of disk Bézier curves.
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