Constructing offset to cubic B-spline curve by quintic Pythagorean-Hodograph spline curve; 用五次Pythagorean-Hodograph样条曲线构造三次B样条曲线等距线2. Here,a cubic B-spline curve was used to generate more flexible paths of lane-change to a target position. 在建模过程中,利用三次B样条曲线灵活...
15.Study of Data Reduction of B-spline Curves and Disk B-spline Curves;B样条曲线和圆域B样条曲线数据缩减的研究 16.Research on Quadratic B-Spline Interpolation Curve with Tangent Constraints基于切向约束的二次B样条插值曲线的研究 17.Cubic B-Spline Curve Fitting Based on the Boundary Point Cloud Dat...
cubic GB-splinecurve designCAGDA class of polynomial blending functions of degree 3 is presented. Based on the blending functions, we get a method of generating piecewise polynomial curves with a shape parameter. By changing the value of the shape parameter, we can adjust the approaching degree ...
构造了与给定切线多边形相切的Cm连续m+1次非均匀B样条曲线.最后的实例表明,所构造的非均匀三次B样条逼近曲线比分段4次B zier曲线更有效.关键词CAGD;算法;切线多边形;保形曲线;非均匀B样条中图法分类号O241.3;TP391.72Non-uniformc bi B-Splinec rvewithgiven an entPoly onFangKui1,2)Wu uanyuan3)1)(...
B-spline curve B yangtiQO qUxlanB样条曲线(BsPline curve)用B样条函数构造的曲线。B样条函数在19世纪初首先由N.肠bachevsky提出。1946年,1.J.段hoenbe唱用B样条函数光滑统计数据,并提出B样条近似理论。1972年,deB刀r,M.Cox,L.Mal侣field等人发现了B样条函数的递归关系,1974年,C心rdon和Ri~-feld用B样条...
Generate a cubic B-spline curve that passes through given points Contributed by: Jan Mangaldan ResourceFunction["CubicSplineCurve"][{{x1,y1,…},{x2,y2,…},…}] constructs a cubic interpolating BSplineCurve that passes through the given set of points....
) 。∈R.(公式 6) 上旋转 的角度依次为 a,B,y.最终通过转换矩阵Rot可获得 平面圆上点坐标 (z ,Y , )如图3所示). Step2.采用最小方差法逼近生成三次B样条中轴线O(u). (公式 7一公式 13) Q(“)=api—curve—bspline(m, ) Step3.根据中轴线上的样点切线确定相应的圆平面法线矢 量Ⅳb.(公式...
poi nt cl oud data,and achi eves curve fi tti ngof the boundary poi ntcl oud data w i th“ Tree Chai n of Dom i —and preci si on.nantPoi nts” and Cubi cB- spl i ne al gori thm .Key w ords:poi nt cl oud;Cubi c B- spl i ne Curve;boundary extracti on;curve fi tti...
Hermite spline 已经有了 curve,其实 spline 的概念也就呼之欲出,spline 无非就是把 curve 一段一段连接起来,同时根据我们的要求满足 G^1, G^2 等不同的要求. 对于Python(numpy/scipy) 来说,有很多 spline 和 interpolate 的工具,比如 B样条 中已经出现过的。接下来利用 BPoly.from_derivatives 来interpolate...
blending function shape parameter cubic GB-spline curve design CAGD 会议名称: International Symposium on Computing and Its Applications in Information Science(ISCIAIS 2005); 20050815-19; Hefei(CN) 会议地点: Hefei(CN) 主办单位: Institute of Mathematics, Fudan University, Shanghai 200433, P.R. ...