BSpline(CVs,order,umin,umax)接受控制点,曲线阶次和参数的范围,如果函数所带参数小于4那么umin,umax都会被置为默认值,首位端点都有order次重节点,中间非重节点均匀分布。 如果希望设置非均匀的节点列表可以使用set_knots函数传入节点向量,函数会对被传入节点向量做检测,增加程序鲁棒性。 basis函数为核心函数,就是计...
Global Curve Interpolation :Given a set of n+1 data points, D0, D2, ..., Dn and a degree p, find a B-spline curve of degree p defined by n+1 control points that passes all data points in the given order. 7.1 求解 假设期望插值的p次b spline曲线如下:C(u)=∑i=0nNi,p(u)Pi这...
B-spline曲線是於1946年首次由Schoenberg提出。B-spline曲線及曲面在電腦輔助設計應用上較Bezier及Cubic曲線廣泛,因B-spline曲線是包含Bezier曲線的通用數學表示法。除了有Bezier曲線的優點,同時又具有其他獨有的特性,例如具有局部控制(Localcontrol)的能力,及可在不改變曲線階數(order)下增加曲線的控制點等。事實上,工程...
对于多项式而言 degree 与 order 是相等的,是同义词。而对于 spline,order = degree + 1。[3] B-splines of orderp+1p+1are connected piece-wise polynomial functions of degreepp. 所以在 [2] 中提到的 “4 个控制点 3 次 B 样条”的 order 为 4,degree 为 3。B 样条上的任意一点受到 order 个...
@pre `knots` is sorted in non-descending order. @throws std::exception if knots.size() < 2 * order. */BsplineBasis(intorder, std::vector<T> knots); 这种构造方法直接提供了阶数和节点,这里的模板参数T是节点的类型,通常是double。根据定义,需要满足的条件是节点是非递减的,且节点的个数大于等于...
Order— Order of polynomials scalar | vector Order of the polynomial function describing each polynomial piece of the spline, returned as a scalar or as a vector containing the order in each variable for multivariate data. Dim— Dimensionality scalar Dimensionality of the target function, returned...
B样条(B-Spline)曲线是最重要的自由曲线曲面类型之一。我们可以在在二维平面内,根据指定的控制点坐标,在指定的精度下,按照指定幂次,绘制与这组控制点对应的B样条曲线的函数。代码如下: void drawBSpline( GLint order, GLfloat v[][2], GLint ptsNum, GLint numofU, GLint node[] ) { glColor3f(0.0,1.0...
Create a third order B-spline object: s_spl = Bspline(s,3); We can get back a close approximation of the original signal vector by evaluating the B-spline on integer points using familiar subscripting syntax: s_rec = s_spl(1:20); ...
Five degree B-Spline with eight control point is proposed for smooth uniform velocity and acceleration of Cam-follower mechanism which reduces the jerk during motion. A computer-aided design and computer-aided manufacturing (CAD/CAM) system is developed for follower motion, i.e. displacement, ...
type(bspline_3d)::s s=bspline_3d(x,y,z,fcn,kx,ky,kz,iflag,extrap) The variouskinputs (i.e.,kx,ky, etc.) specify the spline order for each dimension. The order is the polynomial degree + 1. For example: k=2: Linear