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...
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...
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 ...
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...
The resulting singularly perturbed parabolic differential equation is solved by applying the implicit Euler method in temporal direction and extended cubic B-spline basis functions consisting of a free parameter λ for the resulting system of ordinary differential equations in the spatial direction. The ...
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...
First, we discretize the given equation in space and then we use collocation of modified cubic B-spline basis functions for unknown dependent variables u, v and their derivatives w.r.t. space variable x, which produces a system of first order ordinary differential equations. This system of ...
A class of polynomial basic function with adjustable constant parameter λis presented ,which is the extentiont of classical cubic B-spline basis function.Properties of this new basis are analyzed and a polynomial curves with a shape parameter is defined based on it.The curve inherits the most ...