Convert BSpline Curve to Arc Spline in OpenCASCADE eryar@163.com Abstract. The paper based on OpenCASCADE algorithms to approximate the NURBS curve to arc spline. The method is most useful in numerical control to drive the cutter along straight line…

OPEN CASCADE BSpline Curve Interpolation eryar@163.com Abstract. Global curve interpolation to point data is a way to construct curves. The paper focus on the interpolate algorithm in OPEN CASCADE, and give a simple example to demonstrate the usage o…

OpenCASCADE Conic to BSpline Curves-Circle eryar@163.com Abstract. The conic sections and circles play a fundamental role in CAD/CAM applications. Undoubtedly one of the greatest advantages of NURBS is their capability of precisely representing conic…

OpenCASCADE Conic to BSpline Curves-Hyperbola eryar@163.com Abstract. Rational Bezier Curve can represent conic curves such as circle, ellipse, hyperbola, .etc. But how to convert a conic curve to BSpline curve is still question, i.e. Represent a con…

OpenCASCADE Conic to BSpline Curves-Parabola eryar@163.com Abstract. Rational Bezier Curve can represent conic curves such as circle, ellipse, hyperbola, .etc. But how to convert a conic curve to BSpline curve is still question, i.e. Represent a coni…

OpenCascade B-Spline Basis Function eryar@163.com Abstract. B-splines are quite a bit more flexible than Bezier curves. This flexibility comes from the fact that you have much more control over the basis functions. For Bezier curves that each control…

B-spline Basis Functions 本博客转自前人的博客的翻译版本,前几章节是原来博主的翻译内容,但是后续章节博主不在提供翻译,后续章节我在完成相关的翻译学习. (原来博客网址:http://blog.csdn.net/tuqu/article/details/4749586) 原来的博主翻译还是很好的,所以前几章节直接借鉴参考原博主的内容. B-spline Basis Functions:Definition 贝塞尔基函数用作权重.B-样条基函数也一样:但更复杂.但是它有两条贝…

B-spline Curves 学习之前言 本博客转自前人的博客的翻译版本,前几章节是原来博主的翻译内容,但是后续章节博主不在提供翻译,后续章节我在完成相关的翻译学习. (原来博客网址:http://blog.csdn.net/tuqu/article/details/4749586) 原来的博主翻译还是很好的,所以前几章节直接借鉴参考原博主的内容. B-spline Curves Notes 本 教程是关于B-样条曲线(B-spline Curves)的教程.B-样条曲线在计算机视觉(comp…

(1) 对于clamped样条曲线,节点区间的数目等于曲线段的数目. eg: B-样条曲线有11个控制点(即,n = 10), 3次P样条 (即, p=3)  ,由 m=n+p+1 则有15 个节点 (m = 14),又因为是clamped曲线,则其中头四个(p+1)和最后四个节点(p+1个) 都相等,即节点区间分为:7段,有效节点有15-p-p = 9个,分为8段. 如果这8段是平均间隔,则是均匀的B-Spline曲线.否则称为不均匀的B-Spline曲线. 可以如下表示:clamped节点向…

Derivatives of a B-spline Curve 本博客转自前人的博客的翻译版本,前几章节是原来博主的翻译内容,但是后续章节博主不在提供翻译,后续章节我在完成相关的翻译学习. (原来博客网址:http://blog.csdn.net/tuqu/article/details/4749586) 原来的博主翻译还是很好的,所以前几章节直接借鉴参考原博主的内容. 尽管B-样条曲线比贝塞尔曲线复杂得多,它们的导数很相似.假设一个B-样条曲线定义如下: 每个基函数的导数可计算如下: 将这些导…