http://paulbourke.net/miscellaneous/interpolation/ http://fivedots.coe.psu.ac.th/Software.coe/Java%20Games/Java3D/Muscle3D/Hermite/Hermite%20Curve%20Interpolation.htm http://www.cs.helsinki.fi/group/goa/mallinnus/curves/curves.html…

原文 Hermite Curve Interpolation Hermite Curve Interpolation Hamburg (Germany), the 30th March 1998. Written by Nils Pipenbrinck aka Submissive/Cubic & $eeN Introduction Hermite curves are very easy to calculate but also very powerful. They are used to…

注: 云形线(Catmull-Rom curve曲线) 云线(Spline或B-spline)在数学上有很多种类,常用的三阶云线有Hermite, Bezier, Uniform B-spline, Nonuniform B-spline, Catmull-Rom及Kochanek-Bartels等.NURBS curve则是NonUniform Rational B-Spline curve(非一致(的)有理(的)基底样条曲线)的缩写. 早期的Spline curve翻译成样条曲线,是因为它是…

1. 前言 好多初创公司公布出来的视频明显都是寻迹的效果,不是说寻迹不好,相反可以证明,寻迹是自动技术开始的第一步. 自动驾驶寻迹:一种能够自动按照给定的路线(通常是采用不同颜色或者其他信号标记来引导)进行移动的汽车. 本章内容有和No. 1.No. 2与No. 3重复的内容,为了方便自己调试,我将重复的内容也贴出来. 注意:所有需要在 [Simulation] 菜单下加载的数据,都需要在所有操作之前操作,否则在RViz显示时,会出现frame_id错误. 采用寻迹方式,首先要做的就是要确定汽车…

Hermite 曲线 已知曲线的两个端点坐标P0.P1,和端点处的切线R0.R1,确定的一条曲线. 参数方程 1. 几何形式 2. 矩阵形式 3. 推导 例子分析 如上图有四个点,假如P0.P2是端点,那么向量R0=(P1-P0),R1=(P3-P2),将数据带入调和函数,即求得曲线. 在程序中,我们通常会使用特殊方法处理顶点之间的关系. 图中含有3个顶点,我们把每挨着的两个顶点看做是一条Hermite曲线,P0和P1是两个端点,那么现在,我们如何求得R1呢? 我们现在构建连个参考点F1,F2.…

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 Curve Continuity eryar@163.com Abstract. 设计一条复杂曲线时,出于设计和制造上的考虑,常常通过多段曲线组合而成,这就需要解决曲线段之间如何实现光滑连接的问题.评价曲线间连接的光滑度的度量有两种:参数连接性和几何连续性.本文对这两种连续性分别进行介绍. Key Words. Curve Continuity, Geometric Continuity, 参数连续性.几何连续性 1.Introduction 在实际应用中进行复杂零件的…

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…

Make Helix Curve in OpenCASCADE eryar@163.com Abstract. OpenCASCADE does not provide helix curve directly, but you can build a helix curve by the pcurve of a surface(curve on surface). When you understand the pcurve of a surface, you can make a helix…

OpenCASCADE Curve Length Calculation eryar@163.com Abstract. The natural parametric equations of a curve are parametric equations that represent the curve in terms of a coordinate-independent parameter, generally arc length s, instead of an arbitray…