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国家自然科学基金(11290143): 作品数：15被引量：39H指数：4; 导出分析报告; 相关作者：王仁宏朱春钢祁斌孙玉文王凡更多>>; 相关机构：大连理工大学河海大学南京农业大学东北财经大学更多>>; 相关期刊：《Science China Mathematics》《Journal of Computational Mathematics》《机械工程师》《Numerical Mathematics(Theory,Methods and Applications)》更多>>; 相关主题：SPLINEQUADRILATERALSPARSEMN非均匀更多>>; 相关领域：理学自动化与计算机技术电子电信金属学及工艺更多>>

PIECEWISE SPARSE RECOVERY VIA PIECEWISE INVERSE SCALE SPACE ALGORITHM WITH DELETION RULE: 《Journal of Computational Mathematics》2020年第2期375-394,共20页Yijun Zhong Chongjun Li; National Natural Science Foundation of China(Nos.11871137,11471066,11290143);the Fundamental Research of Civil Aircraft(No.MJ-F-2012-04)。; In some applications,there are signals with piecewise structure to be recovered.In this paper,we propose a piecewise_ISS(P_ISS)method which aims to preserve the piecewise sparse structure(or the small-scaled entries)o...; 关键词：Inverse scale space Piecewise sparse Sparse recovery Small-scaled entries

The Instability in the Dimensions of Spline Spaces Over T-Meshes with Nested T-Cycles被引量：1: 《Numerical Mathematics(Theory,Methods and Applications)》2019年第1期187-211,共25页Chongjun Li Pengxiao Wang; This work is supported by the National Natural Science Foundation of China(Nos.11471066,11572081,11290143,11601064);Fundamental Research of Civil Aircraft(No.MJ-F-2012-04);the Fundamental Research Funds for the Central Universities(DUT15LK44).; This paper studies on the dimensions of spline spaces over some given T-meshes.Using the smoothing cofactor-conformality method,we study the instability in the dimensions of the spline spaces over T-meshes with 2-nest...; 关键词：Spline space smoothing cofactor-conformality method instability in the dimension T-mesh T-cycle

Sparse approximate solution of fitting surface to scattered points by MLASSO model被引量：2: 《Science China Mathematics》2018年第7期1319-1336,共18页Yongxia Hao Chongjun Li Renhong Wang; supported by National Natural Science Foundation of China(Grant Nos.11526098,11001037,11290143 and 11471066);the Research Foundation for Advanced Talents of Jiangsu University(Grant No.14JDG034);the Natural Science Foundation of Jiangsu Province(Grant No.BK20160487);the Fundamental Research Funds for the Central Universities(Grant No.DUT15LK44); The goal of this paper is to achieve a computational model and corresponding efficient algorithm for obtaining a sparse representation of the fitting surface to the given scattered data. The basic idea of the model is...; 关键词：sparse solution principle shift invariant space l1 norm minimization alternating direction method multipliers MLASSO model

A multi-order method for predicting stability of a multi-delay milling system considering helix angle and run-out effects被引量：4: 《Chinese Journal of Aeronautics》2018年第6期1375-1387,共13页Shanglei JIANG Yuwen SUN; co-supported by the National Natural Science Foundation of China (Nos.51525501,11290143,and 51621064);the Science Challenging Program of China (No.JCKY2016212A506-0102); In this paper, a multi-delay milling system considering helix angle and run-out effects is firstly established. An exponential cutting force model is used to model the interaction between a work-piece and a cutting to...; 关键词：Cutting force Floquet theory Milling stability Multi-delay milling system Run-out

Degenerations of rational Bézier surface with weights in the form of exponential function被引量：2: 《Applied Mathematics(A Journal of Chinese Universities)》2017年第2期164-182,共19页ZHANG Yue ZHU Chun-gang GUO Qing-jie; Supported by the National Natural Science Foundation of China(11671068,11271060,11601064,11290143);Fundamental Research of Civil Aircraft(MJ-F-2012-04);the Fundamental Research Funds for the Central Universities(DUT16LK38); Rational Bezier surface is a widely used surface fitting tool in CAD. When all the weights of a rational B@zier surface go to infinity in the form of power function, the limit of surface is the regular control surface...; 关键词：rational Bezier surface WEIGHTS regular control surface toric degenerations exponential function.

基于线性微分系统的曲线曲面构造: 《机械工程师》2015年第10期37-39,共3页兰晨祁斌姜尚磊孙玉文; 国家自然科学基金项目(11290143); 根据线性微分系统和曲面构建的相关知识,以参数化建模的思想为依托,提出了一种新的基于点云数据的自由曲面的常微化与目标曲面整体高精度获取的方法,重点讨论了利用一阶线性常微分方程构建曲线和曲面的过程,并基于计算机仿真对所提出的...; 关键词：线性微分系统常微分方程 CAD/CAM 龙格库塔法

薄壁件铣削稳定性研究被引量：1: 《机械工程师》2015年第10期51-53,共3页金鑫祁斌姜尚磊孙玉文; 国家自然科学基金项目(11290143); 提出了工件动态特性变化的稳定性预测方法。首先,建立了基于工件动态特性变化的薄壁铣削动力学模型。然后采用全离散法对薄壁铣削稳定性预测,最后通过实验验证了该方法的准确性。; 关键词：颤振动态特性稳定性

插值特殊曲线的可展曲面造型研究进展被引量：3: 《中国科学：数学》2015年第9期1441-1456,共16页李彩云朱春钢王仁宏; 国家自然科学基金(批准号:11290143;11401077和11271060);民用飞机专项(批准号:MJ-F-2012-04);中央基本科研业务费(批准号:DUT14YQ111);辽宁省高等学校优秀人才支持计划(批准号:LJQ2014010)资助项目; 可展曲面一直是计算机辅助几何设计领域中的热点问题,其在曲线曲面造型中有着很好的应用前景.另外,它与逼近论、最优化、微分几何、线几何等领域密切相关,并产生了一些很好的数学结果.本文主要综述可展曲面的一些基本结果及作者近年来...; 关键词：可展曲面测地线曲率线

三次样条Hermite插值基构造四边形薄板单元被引量：1: 《中国科学：数学》2015年第9期1523-1536,共14页陈娟李崇君; 国家自然科学基金(批准号:11290143;11471066和11102037)资助项目; 薄板弯曲单元被广泛地应用到工程问题的有限元计算中.然而,由于协调的薄板弯曲位移型单元要求挠度和转角(即位移的函数值和导数值)都是连续的,导致很难直接构造协调的位移型薄板单元.在数学上,样条是满足一定协调性的分片光滑的多项式,...; 关键词：样条插值基四边形单元薄板单元 B网方法

Analysis of orthogonal multi-matching pursuit under restricted isometry property被引量：4: 《Science China Mathematics》2014年第10期2179-2188,共10页DAN Wei; supported by the Science Foundation of Guangdong University of Finance & Economics(Grant No.13GJPY11002);National Natural Science Foundation of China(Grant Nos.11071031,11271060,11290143,U0935004 and U1135003);the Guangdong Natural Science Foundation(Grant No.S2012010010376);the Guangdong University and Colleges Technology Innovation Projects(Grant No.2012KJCX0048); Orthogonal multi-matching pursuit（OMMP）is a natural extension of orthogonal matching pursuit（OMP）in the sense that N（N≥1）indices are selected per iteration instead of 1.In this paper,the theoretical performance...; 关键词：sparse recovery orthogonal matching pursuit restricted isometry property

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