【摘要】 提出了Bézier样条曲线近似弧长参数化的方法及相应的算法。通过求出曲线近似二分之一弧长的点及其相应的参数值,可将曲线分割为两条Bézier样条曲线。这两条曲线的弧长近似相等,因此让它们带有相同的权1。对新生成的Bézier样条曲线不断重复上述工作,最终得到一条由多条Bézier样条曲线所构成的新的曲线。将这多条Bézier样条曲线合并为一条Bézier样条曲线,进而通过节点插入技术将其转化为B样条形式的曲线以便得到全局参数,其中各段Bézier曲线在全局参数域中所占子区间的长度与它们所具有的权成比例,这样便得到一条近似弧长参数化曲线。更多还原

【Abstract】 A method of approximate arc-length parameterization for Bézier spline curves and the corresponding algorithm are proposed.The point of approximately half arc-length of the curve is found,and the curve is subdivided at the corresponding parameter value.Thus,two Bézier spline curves are obtained.The two curves have approximately equal arc-length,and weight 1 is assigned to each of them.Repeated work is done on the newly generated Bézier spline curves,and finally a new curve consisting of several Bézier spline curves is obtained.These Bézier spline curves are merged into one,and by means of knot inserting technique,it is converted into a curve of B-spline form.The new curve has a global parameter,in which each Bézier curve has a parameter sub-interval of length proportional to its weight.Thus,a curve with approximate arc-length parameterization is obtained.更多还原