Non-uniform B-spline curveswith multiple shape parameters
Non-uniform B-spline curveswith multiple shape parameters
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DOI：
10.1631/jzus.c1000381
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发表时间：
2011-10
期刊：
影响因子：
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通讯作者：
Juan Cao;Guozhao Wang
中科院分区：
文献类型：
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作者：
Juan Cao;Guozhao Wang
提出了一类定义在非均匀结点序列上的形状可调的样条曲线。这些曲线不仅具有一般非均匀B样条曲线的许多有值性质，而且在固定的控制多边形下形状可调。我们的方法是基于B样条曲线的度提升，其中最大自由度被添加到一个非均匀B样条参数化的曲线。我们还讨论了形状参数的调整的几何效果，并提出了实用的形状修改算法，这是不可缺少的从用户的角度来看。
We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot sequence. These curves not only have the many valued properties of the usual non-uniform B-spline curves, but also are shape adjustable under fixed control polygons. Our method is based on the degree elevation of B-spline curves, where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline. We also discuss the geometric effect of the adjustment of shape parameters and propose practical shape modification algorithms, which are indispensable from the user’s perspective.