有理Bézier曲线的非均匀细分算法
AN UNEVEN ALGORITHM FOR THE SUBDIVISION OF RATIONAL BE ′DD)〗ZIER CURVES
-
摘要: ｄｅＣａｓｔａｌｊａｕ算法很早就用于Ｂéｚｉｅｒ曲线、曲面的细分．但对于有理Ｂéｚｉｅｒ曲线，当某些点出现大权时，固定ｔ＝１／２的均匀细分算法失效．本文分析了失效的原因并提出了一种新的非均匀细分方法．通过分析和比较，证明了新方法非常有效，可以很好地应用于实践．Abstract: The de Castaljau algorithm has been applied to the subdivision of Bézier curves and surfaces. But in rational Bézier curves, when some control points have big weights, the even method of fixing t =1/2 proves to be ineffective.A new method of uneven subdivision and its effectiveness are presented in this paper.
下载: