参考三次样条插值(Cubic Spline Interpolation)及代码实现(C语言) #define S_FUNCTION_NAME cubic #define S_FUNCTION_LEVEL 2 #include "simstruc.h" #include "malloc.h" //方便使用变量定义数组大小 static void mdlInitializeSizes(SimStruct *S) { /*参数只有一个,是n乘2的定点数组[xi, yi]: * [ x1...
其中,Pi(t)多项式中最高次项的幂,视为样条的阶数或次数(Order of spline),根据子区间[ti−1,ti]的区间长度是否一致分为均匀(Uniform)样条和非均匀(Non-uniform)样条。满足了公式(2)的多项式有很多,为了保证曲线在S区间内具有据够的平滑度,一条n次样条,同时应具备处处连续且可微的性质: P(j)i(ti)=P(...
–LinearB-splineshaveC0continuity,cubichaveC2,etc 4/29/04 ©UniversityofWisconsin,CS559Spring2004 UniformCubicB-splineon[0,1)•Fourcontrolpointsarerequiredtodefinethecurvefor0t<1(tistheparameter)–Notsurprisingforacubiccurvewith4degreesoffreedom •TheequationlooksjustlikeaBeziercurve,butwith...
It is well-known that B-spline surfaces are define X Yuan,W Ma - 《Computer Methods in Applied Mechanics & Engineering》 被引量: 12发表: 2014年 Non-uniform rational B-splines-based aerodynamic shape design optimization with the DLR TAU code With the improving capabilities of computational fluid...
Certified Approximation of Parametric Space Curves with Cubic B-spline Curves We approximate a space curve to any given precision and preserve its important geometric features. We define the quasi-cubic curve segment, which has simi... LY Shen,CM Yuan,XS Gao - Elsevier B.V. 被引量: 25发表...
2. B-Spline Approximation Let a = x 0 < x 1 . . . x N − 1 < x N = b be the spatial domain on the interval [ a , b ] . In the present section, cubic B-spline approximation for U ( x , t ) and V ( x , t ) is constructed. We define the partition into equivalen...
Type: Object Data: Two data vectors that define 1D function points Inputs: Name of first data column (e.g. x) Outputs: Name of second data column (e.g. y) Description: Cubic spline for nonlinear function approximation A cubic spline is a nonlinear function constructed of multiple third-...
2 Theory Here we develop the necessary theory to compute the bend- ing energy of a three-dimensional deformation field parame- terized by a uniform cubic B-spline basis. Given a uniformly spaced control-point grid as shown in Fig. 1, the bending energy of the entire deformation may be ...
Opencv 三次样条曲线（CubicSpline ）插值 本系列⽂章由 @YhL_Leo 出品，转载请注明出处。⽂章链接：1.样条曲线简介 样条曲线()本质是分段多项式实函数，在实数范围内有：，在区间上包含个⼦区间，且有：对应每⼀段区间的存在多项式： ，且满⾜于：其中，多项式中最⾼次项的幂，视为样条的阶数或次数...
b. 满⾜（i = 0, 1, …, n ）c. ，导数，⼆阶导数在[a, b]区间都是连续的，即曲线是光滑的。所以n个三次多项式分段可以写作：，i = 0, 1, …, n-1 其中ai, bi, ci, di代表4n个未知系数。1.2 求解 已知:a. n+1个数据点[xi, yi], i = 0, 1, …, n b. 每⼀分段都是...