位置：成果数据库 > 期刊 > 期刊详情页
一类新的（2n-1）点二重动态逼近细分
  • ISSN号：0254-7791
  • 期刊名称：《计算数学》
  • 时间：0
  • 分类：O174.2[理学—数学;理学—基础数学]
  • 作者机构：合肥工业大学数学学院,合肥230009
  • 相关基金：国家自然科学基金重点项目（U1135003）;国家自然科学基金（61472466,61100126）;中国博士后科学基金面上资助项目（2015M571926）;浙江大学CAD、CG国家重点实验室开放课题（A1607）.
作者： 张莉, 孙燕, 檀结庆, 时军
关键词： 动态细分格式, 逼近细分, 正弦函数, 形状参数, Non-stationary subdivision scheme, Approximating, Sine function, Shapeparameter
中文摘要：

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Ck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u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．

英文摘要：

In this paper, a new family of （2n - 1）-point binary non-stationary approximating subdivision schemes with shape parameter ω is presented with the help of the sine function. With the changing of n and w, the theoretical analysis of support length and continuities of the schemes are also given. The corresponding stationary schemes include the methods given by Chaikin, Hormann, Dyn, Daniel and Hassan. With the same control points and the same continuities for the limit curves, comparisons with other methods are given. It shows that the new family of schemes can generate limit curves with better representability than the others.

同期刊论文项目
　渐进迭代逼近与广义B样条的理论与应用研究
期刊论文 3
基于数字家庭的高清媒体内容分析理解中的非线性理论及关键技术
期刊论文 99 会议论文 26 获奖 1
基于细分的几何逼近与可视媒体处理中的非线性理论与方法
期刊论文 12
对偶基与新型混合有理插值理论及其在几何逼近和彩色图像处理中的应用研究
期刊论文 21 会议论文 1
同项目期刊论文
Optimized image retargeting using aesthetic-based cropping and scaling
A piecewise Pade-type rational interpolation of hybrid order in the interval [0,1]
Explicit determinant formulas of generalized restrictive Pade approximation
A Novel Image Decomposition Approach and its Applications
Robustness of orthogonal matching pursuit under restricted isometry property
A novel video denoising method based on total variationand recursive temporal filtering
Dual Generalized B-spline Bases and Their Applications in Approximation Problems
A new rationalcubic trigonometric Bezier curve with four shape parameters
Compression and reconstruction of time series data based on vector valued continued fraction
A novel depth map generation method and image quality test method of stereo television
A combined approximating and interpolating subdivision scheme with C2 continuity
A binary five-point relaxation subdivision scheme
A new extension of quadratic Bézier curves with multiple shape parameters
Perspective projection based on quaternion interpolation
Multiple degree reduction of Wang-Ball curves by using dual bases polynomials
Optimal Scaling Factor Assignment for Patchwise Image Retargeting
A blending method based on partial differential equations for image denoising
Multiple instance learning tracking method with local sparse representation
A fast mesh parameterization algorithm based on 4-point interpolatory subdivisio
Weighted rational quartic spline interpolation
A new variant of Newton’s method based on equidistant nodes
Local Texture Suppression Filter Based on Joint Degenerative Scheme.
Convergence of accelerated modulus based matrixsplitting iteration methods for linear complementarit
A Non-stationary Binary Three-point Approximating Subdivision Scheme
The iteration method for sample-based polynomial approximation ofrational B-spline curves
BAP: Bimodal attribute prediction for zero-shot image categorization
Irregular bivariate blending continued fractions interpolation in image resizing
An automatic video scratch removal based on Thiele type continued fraction
Video image restoration based on sparse representation
Real-time background subtraction based video surveillance of people by Integrating local texture pat
An adaptive image denoising model based on Tikhonov and TV regularizations
Two adaptive image pre-processing chains for face recognition rate enhancement,
Adaptive principal component analysis based wavelet transform and image de-noising for face recognit
A novel method of edge detection based on the Isotropic diffusion model and total variation model
New development of non-rigid registration
A new extension of quadratic Bezier curves with multiple shape parameters
A fast and efficient mesh segmentation method based on improved region growing
A novel algorithm for removal of salt and pepper noise using continued fractions interpolation
Hierarchical Ensemble of Background Models forPTZ-based Video Surveillance
Single Image Super-ResolutionUsing Maximizing Self-Similarity Prior
A fast and efficient mesh segmentation method based on improved regiongrowing
Perspective projection based on quaternioninterpolation
Acceleratedmodulus-based matrix splitting iteration methods for linear complementarity problem
Multi-targets tracking based on bipartitegraph matching
A method of image magnificationbased on radial basis function
Compact descriptor for local featureusing dominating center-symmetric local binary pattern
Super-resolution by polar Newton-Thiele's rational kernel in centralized sparsity paradigm
凸多边形域上的参数曲面自由变形
Automatic detection and removal of high-density impulse noises
Multi-scale patch-based sparse appearance model for robust object tracking
A method of Neville-like vector-valued blending rational interpolants based on continued fractions
A novel model of image segmentation based on watershed algorithm
Bi-cubic C-Coons surface and its applications
Bézier-like curves based on algebraic and exponential polynomials and their connection co
A class of generalized B-spline quaternion curves
Video noise reduction method using adaptive spatial -temporalfiltering
Image denoising with patch estimation and low patch-rank regularization
Least square geometric iterative fitting method forgeneralized B-spline curves with two different ki
An amalgammethod based on anisotropic diffusion and temporal filtering for videodenoising
Real-time Visual ObjectTracking via CamShift-Based Robust Framework
精确局部特征描述的表情识别
带平台伸缩函数的参数曲线变形
三角域上Said-Ball基的推广渐近迭代逼近
基于双边滤波改进的Harris特征点检测
四步八阶迭代法解非线性方程组
A Unified Ternary Curve Subdivision Scheme
一种改进的整体变分图像修复方法
基于分裂EM算法的GMM参数估计
多形状参数的指数均匀B样条曲线曲面
基于不光滑边界的变系数抛物型方程的高精度紧格式
三步五阶迭代方法解非线性方程组
一种基于Chebyshev迭代解非线性方程组的方法
带互异权值的渐进迭代逼近算法及其应用
基于梯度Gabor直方图特征的表情识别方法
基于插值细分的逼近细分法
广义B样条曲线的节点去除与光顺算法
全局各向异性四边形主导网格重建方法
带一个形状参数的有理三次三角Bézier曲线
凸多边形域上的参数曲面自由变形
带权Bernstein基的对偶基函数在等距逼近中的应用
A new variant of Newton's method based on equidistant nodes
Convexity preservation of five-point binary subdivision scheme with a parameter
A new four-point shape-preserving <img class="charImg" alt="image" src="
Weighted local progressive iterative approximation for tensor-product Bézier surfaces
渐进迭代逼近方法在等距曲线逼近中的应用
基于函数值的线性有理插值样条的区域控制
带形状参数的四次Bézier曲线曲面
带平台伸缩函数的参数曲线变形
三角域上Said-Ball基的推广渐近迭代逼近
多形状参数的指数均匀B样条曲线曲面
带互异权值的渐进迭代逼近算法及其应用
广义B样条曲线的节点去除与光顺算法
CE-Bézier曲线与二次均匀B样条曲线的拼接
One Fairing Method of Cubic B-spline Curves Based on Weighted Progressive Iterative Approximation
凸多边形域上的参数曲面自由变形
带平台伸缩函数的参数曲线变形
A Unified Ternary Curve Subdivision Scheme
带互异权值的渐进迭代逼近算法及其应用
基于插值细分的逼近细分法
广义B样条曲线的节点去除与光顺算法
带一个形状参数的有理三次三角Bézier曲线
划痕图像的连分式插值修补算法
一类C2连续的单位四元数插值样条曲线
一种求解非线性方程组的3p阶迭代方法
一类由Laurent多项式诱导的带参数二重细分
带互异权值的渐进迭代逼近算法及其应用
广义B样条曲线的节点去除与光顺算法
期刊信息
  • 《计算数学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：周爱辉
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：010-62555115
  • 国际标准刊号：ISSN：0254-7791
  • 国内统一刊号：ISSN：11-2125/O1
  • 邮发代号:2-521
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4140