In the method, partial cubic cardinal spline function is chosen as weight function (?)(x) in the Shepard formula which is (?)(x)∈C2 and has good attenuation characteristics. 该方法以局部三次基样条函数作为Shepard公式中的权函数,新的权函数具有良好的衰减性和二阶连续性,从而改进了传统方法的不...
The spline-based method for solving the Fredholm integral equation of the first kind, earlier suggested by Beniaminy and Deutsch, is discussed. The inaccuracy of the solution is estimated. It is shown that this inaccuracy is of the order of O( h 3) where h is a small parameter reflecting...
Israel Beniaminy, Moshe Deutsch - 1984 - C668-C669 - www.sciencedirect.comdoi:10.1016/S0010-4655(84)82823-4IsraelBeniaminyandMosheDeutschSDOSComputer Physics Communications
To solve some practical problems,approximating function is needed.Spline function is usually used.By taking cubic spline function as an example,the study of the approximation of spline-based method and three-moment method and the analysis of their merits and their similarities and differences can be...
An overdraw method for editing a three-dimensional geometry includes receiving a three-dimensional geometry including a plurality of individual curves whose positions are defined by
A recent algorithm that consists of modulating functions method combined with an iterative Newton approach has been proposed to solve this estimation problem. However, the method\x92s performance was highly dependent on the convergence of the Newton method. In addition, it was affected by the ...
This paper presents a novel method for non-rigid registration of transrectal ultrasound and magnetic resonance prostate images based on a non-linear regula... J Mitra,Z Kato,R Martí,... - 《Medical Image Analysis》 被引量: 54发表: 2012年 Spline-based image-to-volume registration for three...
However, this method is not useful: normals do not have to intersect the endocardium, and they may intersect each other, so the task of finding a normal passing through a point may result in multiple solutions. In the present article, we use the special coordinates to construct straight ...
The results reflect that the approach can achieve the optimal approximation order in solving hybrid problems. Keywords: implicit domains; R-function method; hybrid boundary conditions; WEB method; solution structures MSC: 65D07; 65N25; 35Q40
(3) when the solution of this problem is not smooth, such as methods based on non-uniform meshes in time [17], [54], [57], [62], using of some non-polynomial (or singular) basis functions or the spectral collocation method [7], [60], separating the solution into two parts: ...