搜索结果: 1-12 共查到“计算数学 B-spline”相关记录12条 . 查询时间(0.064 秒)
A Cubic Spline Method for Solving a Unilateral Obstacle Problem
Obstacle Problem Spline Collocation Nonsmooth Equation Generalized Newton Method
2013/1/30
This paper, we develop a numerical method for solving a unilateral obstacle problem by using the cubic spline collocation method and the generalized Newton method. This method converges quadratically ...
Flexible Multi-scale Image Alignment Using B-Spline Reparametrization -Theoretical Analysis
Flexible alignment L2-gradient flow Bi-cubic B-spline Existence and uniqueness System of ordinary differential equations
2012/8/10
In the first part of this companion volumes, we present a new flexible alignment model and
an iterative algorithm based on an L2-gradient flow. In this second part of the companion
volumes, we focus...
Flexible Multi-scale Alignment Using B-Spline Reparameterization-Computational Methods
Flexible Alignment L2-gradient flow Bi-cubic B-spline Finite elementmethod Multi-resolution representation
2012/8/10
In this first part of the companion volumes, we present a new flexible alignment method
to align two or more similar images, especially biological images. By minimizing an energy
functional measurin...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations by Spline Collocation Methods
Caputo抯 derivatives Collocation methods Cubic spline functions Riemann-Liouvillefractional derivative
2012/8/10
We use collocation methods to solve fractional boundary value problems. Analytically, we study the
existence and uniquenes theorem of the collocation solutions, and discuss some error estimates. We
...
G1 B-Spline Surface Construction By Geometric Partial Differential Equations
B-Spline surface discretizations geometric PDE Convergence
2012/8/8
In this paper, we propose a dynamic B-spline technique using general form fourth order geometric
PDEs. Basing on discretizaions of Laplace-Beltrami operator and Gaussian curvature over triangular
an...
G1 Spline Surface Construction By Geometric Partial Differential Equations Using Mixed Finite Element Methods
Spline surface Discretizations GPDE Convergence
2012/8/8
Variational formulations of three fourth order geometric partial di甧rential equations are
derived, and based on which mixed 痭ite element methods are presented for constructing
G1 smooth B-spline sur...
Regularization of B-Spline Objects
Spline objects Regularization L2-gradient Finite element method
2012/8/8
By a d-dimensional B-spline object (denoted as Od), we mean a B-spline curve (d = 1), a
B-spline surface (d = 2) or a B-spline volume (d = 3). By regularization of a B-spline object
Od we mean a pro...
A study of the uniform accuracy of univariate thin plate spline interpolation
plate spline interpolation Numerical Analysis
2011/9/16
Abstract: The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we prop...
Numerical Solution of Obstacle Problems by B-Spline Functions
Least Square Method Uniform B-Splines Boundary Value Problems Obstacle Problems
2013/1/30
In this study, we use B-spline functions to solve the linear and nonlinear special systems of differential equations associated with the category of obstacle, unilateral, and contact problems. The pro...
An O(k2+kh2+h2) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations
Quasi-Linear Parabolic Equation, Implicit Method, Cubic Spline Approximation, Diffusion-Convection Equation, Singular Equation, Burgers’ Equation, Reynolds Number
2013/1/30
In this piece of work, using three spatial grid points, we discuss a new two-level implicit cubic spline method of O(k2 + kh2 + h4) for the solution of quasi-linear parabolic equation , 0< x <1, t > 0...
B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
Linear sampling algorithm Quasi-interpolant Quasi-interpolant representation
2010/12/10
Let = {xj}n j =1 be a grid of n points in the d-cube Id := [0, 1]d, and = {'j}n j=1 a family of n functions on Id. We define the linear sampling algorithm Ln(, , ·) for an approximate recovery o...
A fast algorithm for evaluating and displaying bivariate splInes in a three direction is preseNted based on two-level transfomation of the corresponding B-splines. The efficiency has been shown by exp...