共查询到19条相似文献,搜索用时 937 毫秒
1.
针对SAR图像去噪过程中存在降低相干斑与保持有效细节这一矛盾,提出了一种基于四点插值细分小波的SAR图像去噪算法,该方法将小波和细分方法相融合,将四点插值细分规则应用到细分小波中,提出了图像去噪的新方法.该算法先用四点插值细分小波对原始图像进行分解,然后用Bayes自适应阈值及阈值函数对图像进行去噪,最后对去噪的小波系数进行重构,并通过等效视数、边缘保持指数等评价指标对去噪结果进行了评价.实验结果表明,算法的等效视数、边缘保持指数都有所提高,去噪效果得到了优化. 相似文献
2.
构造曲线的插值型细分法--非均匀四点法 总被引:17,自引:0,他引:17
本文提出了一种构造曲线的插值型细分法-非均匀四点法,四点法可作为这个方法的一个特例。用这种方法可以构造出G^1连续的插值曲线,该法引入了一些偏移参数来控制细分过程,偏移参数参曲线形状的影响是局部的。 相似文献
3.
变参数四点法的理论及其应用 总被引:8,自引:0,他引:8
蔡志杰 《数学年刊A辑(中文版)》1995,(4)
四点插值细分法(简称四点法)是一种离散插值方法,在曲线和曲面造型中有着广泛的应用.本文主要讨论当参数可变时,四点法的收敛性和连续性以及变参数四点法的应用. 相似文献
4.
一类新的(2n-1)点二重动态逼近细分 总被引:1,自引:1,他引:0
利用正弦函数构造了一类新的带有形状参数ω的(2n-1)点二重动态逼近细分格式.从理论上分析了随n值变化时这类细分格式的C~k连续性和支集长度;算法的一个特色是随着细分格式中参数ω的取值不同,相应生成的极限曲线的表现张力也有所不同,而且这一类算法所对应的静态算法涵盖了Chaikin,Hormann,Dyn,Daniel和Hassan的算法.文末附出大量数值实例,在给定相同的初始控制顶点,且极限曲线达到同一连续性的前提下和现有几种算法做了比较,数值实例表明这类算法生成的极限曲线更加饱满,表现力更强. 相似文献
5.
6.
7.
8.
本文研究了二维扩散方程九点格式中节点辅助未知量的插值问题.利用多点通量逼近的边未知量插值算法和一个特殊的极限技巧,获得了节点辅助未知量的一个新的插值算法,并在给定假设下严格分析了该算法中局部线性系统的可解性.新算法满足线性精确准则,具有较高的精度. 相似文献
9.
用构造最优局部逼近空间的方法对Lagrange型四边形单位分解有限元法进行了最优误差分析.单位分解取Lagrange型四边形上的标准双线性基函数,构造了一个特殊的局部多项式逼近空间,给出了具有2阶再生性的Lagrange型四边形单位分解有限元插值格式,从而得到了高于局部逼近阶的最优插值误差. 相似文献
10.
两类新的广义Ball曲线曲面的求值算法及其应用 总被引:2,自引:0,他引:2
本文研究两类新的广义Ball曲线曲面的求值算法及其应用.其一是把Bezier曲线曲面的求值转换到这两类曲线曲面的求值,大大加快了计算速度.其二是给出Bezier曲线与这两类广义Ball曲线的统一表示,并利用这种表示给出它们之间相互转换的递归算法. 相似文献
11.
Baojun LiBo Li Xiuping Liu Zhixun SuBowen Yu 《Journal of Computational and Applied Mathematics》2011,236(5):906-915
This paper presents a new method for exact evaluation of a limit surface generated by stationary interpolatory subdivision schemes and its associated tangent vectors at arbitrary rational points. The algorithm is designed on the basis of the parametric m-ary expansion and construction of the associated matrix sequence. The evaluation stencil of the control points on the initial mesh is obtained, through computation, by multiplying the finite matrices in a sequence corresponding to the expansion sequence and eigendecomposition of the contractive matrix related to the period of rational numbers. The method proposed in this paper works for other non-polynomial subdivision schemes as well. 相似文献
12.
13.
We present an algorithm for the computation of interpolatory splines of arbitrary order at triadic rational points. The algorithm
is based on triadic subdivision of splines. Explicit expressions for the subdivision symbols are established. These are rational
functions. The computations are implemented by recursive filtering. 相似文献
14.
Smoothness of subdivision surfaces at extraordinary points 总被引:2,自引:0,他引:2
Hartmut Prautzsch 《Advances in Computational Mathematics》1998,9(3-4):377-389
A stationary subdivision scheme such as Catmull and Clark's is described by a matrix iteration around an extraordinary point.
We show how higher order smoothness of a limiting surface obtained by a stationary subdivision algorithm for tri- or quadrilateral
nets depends on the spectral properties of the matrix and give necessary and sufficient conditions. The results are also useful
to construct subdivision algorithms for surfaces of any smoothness order at extraordinary points.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
15.
Erik Aas 《Annals of Operations Research》2014,215(1):15-23
The iterative scaling procedure (ISP) is an algorithm which computes a sequence of matrices, starting from some given matrix. The objective is to find a matrix ’proportional’ to the given matrix, having given row and column sums. In many cases, for example if the initial matrix is strictly positive, the sequence is convergent. It is known that the sequence has at most two limit points. When these are distinct, convergence to these two points can be slow. We give an efficient algorithm which finds the limit points, invoking the ISP only on subproblems for which the procedure is convergent. 相似文献
16.
17.
In this paper, an algorithm for approximating conic sections by constrained Bézier curves of arbitrary degree is proposed. First, using the eigenvalues of recurrence equations and the method of undetermined coefficients, some exact integral formulas for the product of two Bernstein basis functions and the denominator of rational quadratic form expressing conic section are given. Then, using the least squares method, a matrix-based representation of the control points of the optimal Bézier approximation curve is deduced. This algorithm yields an explicit, arbitrary-degree Bézier approximation of conic sections which has function value and derivatives at the endpoints that match the function value and the derivatives of the conic section up to second order and is optimal in the L2 norm. To reduce error, the method can be combined with a curve subdivision scheme. Computational examples are presented to validate the feasibility and effectiveness of the algorithm for a whole curve or its part generated by a subdivision. 相似文献
18.
Approximation of the linear combination of $\varphi$-functions using the block shift-and-invert Krylov subspace method 下载免费PDF全文
In this paper, we develop an algorithm in which the block shift-and-invert Krylov subspace method can be employed for approximating the linear combination of the matrix exponential and related exponential-type functions. Such evaluation plays a major role in a class of numerical methods known as exponential integrators. We derive a low-dimensional matrix exponential to approximate the objective function based on the block shift-and-invert Krylov subspace methods. We obtain the error expansion of the approximation, and show that the variants of its first term can be used as reliable a posteriori error estimates and correctors. Numerical experiments illustrate that the error estimates are efficient and the proposed algorithm is worthy of further study. 相似文献
19.
This paper is concerned with a generalization of Bernstein–Bézier curves. A one parameter family of rational Bernstein–Bézier
curves is introduced based on a de Casteljau type algorithm. A subdivision procedure is discussed, and matrix representation
and degree elevation formulas are obtained. We also represent conic sections using rational q-Bernstein–Bézier curves.
AMS subject classification (2000) 65D17 相似文献