B样条基函数用作权重referencehttp://blog.csdn.net/tuqu
cubic B‐spline basis functionsIll‐posed inverse problemsnoisy datastability analysistikhonov regularization methodIn this article, we discuss a numerical method for solving some nonlinear inverse parabolic partial differential equations with Dirichlet's boundary conditions. The approach used, is based on ...
blend 形式: \mathbf{B}(t) = (1-t^3)\mathbf{P}_1 + 3(1-t)^2t\mathbf{P}_2 + 3(1-t)t^2\mathbf{P}_3 + t^3\mathbf{P}_4 \\ Bézier curve 的 basis function: 当然这也再次说明了 Bézier curve、 Hermite curve 其实某种程度上来说是一样的,只是 change of basis. Hermite splin...
In this paper, the least square fitting method with the cubic B-spline basis functions is derived to reduce the influence of statistical fluctuations in the gamma ray spectra. The derived procedure is simple and automatic. The results show that this method is better than the convolution method ...
The method is based on collocation of modified cubic B-splines over finite elements, so we have continuity of the dependent variable and its first two derivatives throughout the solution range. The given equation is decomposed into a system of equations and modified cubic B-spline basis functions...
Cubic B-spline functions Let n be a positive integer and a=x0<x1<x2<...<xn=b be a uniform partition of [a, b] having equidistant knots xi=x0+ih,i∈Z using h=b−an. The typical third degree B-spline basis functions are defined as [29] Bi(x)=16h3{(x−xi−2)3,x∈...
The cubic B-spline functions S(t) is constructed as a weighted sum of m+2 cubic B-spline basis functions Bi(t), namely (20)S(t)=∑i=−1mciBi(t) where ci are the unknown parameters of the cubic B-spline basis functions Bi(t). It is possible to approximate the unknown gust w...
Here D is the number of degrees of freedom for the dropout-varying component of the slope and B˜ (u, D, l) is the matrix of nat- ural cubic B-spline basis functions evaluated at u with D + 1 knots (including 2 boundary knots) at locations l = {l1, ..., lD+1}, for D ...
Mapped B-spline basis functions for shape design and isogeometric analysis over an arbitrary parameterization 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 aero...
This study develops an improved Feldkamp–Davis–Kress (FDK) reconstruction algorithm using non-local total variation (NLTV) denoising and a cubic B-spline interpolation-based backprojector to enhance the image quality of low-dose cone-beam computed tomography (CBCT). The NLTV objective function is...