大连理工大学数学科学学院导师教师信息介绍简介-朱春钢

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教授博士生导师硕士生导师
主要任职：无
性别：男
毕业院校：大连理工大学
学位：博士
在职信息：在职
所在单位：数学科学学院
学科：计算数学
办公地点：创新园大厦（大黑楼）A1116
联系方式： cgzhu@dlut.edu.cn**-8116
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个人简介
朱春钢，大连理工大学数学科学学院计算科学研究所教授，博士生导师，计算科学研究所副所长，计算几何与图形图像实验室副主任. 主要从事计算几何与计算机辅助设计方向的研究工作，内容涉多元样条、曲线曲面造型、分片代数曲线与分片代数簇等。到目前为止，在国内外重要期刊发表论文多篇，由科学出版社合作出版教材1部，主持包括4项国家自然科学基金项目在内的多项项目，参加了包括2项国家自然科学基金重点项目在内的多个科研与教学项目建设。

教育经历
2002.9 - 2005.7 大连理工大学计算数学博士
2000.9 - 2002.7 大连理工大学计算数学硕士
1996.9 - 2000.7 山东大学信息与计算科学学士

工作经历
2005.7 - 至今大连理工大学数学科学学院高校教师

我的相册

研究方向
计算机辅助几何设计

计算几何

团队成员
团队名称：计算几何与计算机辅助几何设计 团队介绍：
李彩云副教授

孙兰银博士

赵轩艺博士

张跃博士

王涵博士

教授博士生导师硕士生导师
主要任职：无
性别：男
毕业院校：大连理工大学
学位：博士
在职信息：在职
所在单位：数学科学学院
学科：计算数学
办公地点：创新园大厦（大黑楼）A1116
联系方式： cgzhu@dlut.edu.cn**-8116
电子邮箱：
手机版
访问量：
开通时间： ..
最后更新时间： ..
同专业博导同专业硕导个人学术主页

当前位置: 中文主页 >> 科学研究
研究领域
数值逼近，计算几何理论，计算机辅助几何设计

期刊论文列表
录用待发表
[1] Jing-Gai Li, Ye Ji, Chun-Gang Zhu*, De Casteljau algorithm and degree elevation of toric surface patches, Journal of System Sciences and Complexity, accepted.
2020年
[2] Ying-Ying Yu, Ye Ji, Chun-GangZhu*, An improved algorithm for checking the injectivity of 2D toric surface patches, Computers and Mathematics with Applications, 2020, https://doi.org/10.1016/j.camwa.2020.01.001.
[3] Jing-Gai Li, Chun-Gang Zhu*, Curve and surface construction based on the generalized toric-Bernstein basis functions, Open Mathematics(formerly Cent. Euro. J. Math.), 18 (2020), 36-56.
[4] Caiyun Li, Chungang Zhu*, Designing Developable C-Bézier Surface with Shape Parameters, Mathematics, 8 (3) (2020), 402.
[5] 韩志红，朱春钢*，能量约束的Bézier曲线构造，计算机辅助设计与图形学学报, 32 (2) (2020), 213-221.
2019年
[6] Hui Wang, Chun-Gang Zhu*, Cai-Yun Li, The design of Bezier surface through quintic Bezier asymptotic quadrilateral, Journal of Computational Mathematics, 37 (5) (2019), 723-740.
[7] Ying-Ying Yu, Hui Ma and Chun-Gang Zhu*, Total Positivity of a Kind of Generalized Toric-Bernstein Basis, Linear Algebra and Its Applications, 579 (2019), 449-462.
[8] Lan-Yin Sun*, Chun-GangZhu, Bézier surfaces with special coordinate curve nets, Journal of Mathematical Research with Applications，39 (6) (2019), 700–708. Dedicated to the Memory of Professor L. C. HSU on the Occasion of His 100th Birthday
[9] Sheng-Gang Zhang, Chun-Gang Zhu*, Qin-Jiao Gao, Numerical solution of high dimensional shock wave equations by bivariate multi-quadric quasi-interpolation, Mathematics, 7 (8) (2019), 734.
[10] Lan-Yin Sun*, Chun-GangZhu, B-spline solutions of general Euler-Lagrange equations, Mathematics, Special Issue on Discrete and Computational Geometry, 7 (4) (2019), 365.
[11] 吴金明，单婷婷，朱春钢，连续区间上积分值的MQ拟插值算子，系统科学与数学，39 (12) (2019), 1972-1982.

2018年
[12] Lanyin Sun, ChungangZhu*, Curvature continuity conditions between adjacent toric surface patches, Computer Graphics Forum (special issue on Pacific Graphics 2018), 37(7) (2018), 469-477.
[13] Lan-Yin Sun, Chun-GangZhu, q-Ferguson curves, Advances in Mechanical Engineering, 10(11) (2018) 1–6. doi: 10.1177/**09295.
[14] Yue Zhang, Chun-GangZhu*, Degenerations of NURBS curves while all of weights approaching infinity, Japan Journal of Industrial and Applied Mathematics, 35 (2) (2018), 787–816.
[15] Yue Zhang, Zhi-Qiang Jia, Chun-Gang Zhu*, Error bounds for polynomial minimization over the hypercube-simploids, Pacific Journal of Optimization, 14 (2) (2018), 193-210.
[16] Han Wang, Chun-GangZhu*, Regular Decomposition in Integer Programming, Journal of Mathematical Research with Applications. 38 (2) (2018), 194-206.
[17] Mingzeng Liu*; Baojun Li,; Qingjie Guo,; Chungang Zhu,; Ping Hu, Yuanhai Shao, Progressive iterative approximation for regularized least square bivariate B-spline surface fitting, Journal of Computational and Applied Mathematics 327 (2018) 175–187.
[18] Cai-YunLi*,Chun-GangZhu, G1 continuity of four pieces of developable surfaces with Bezier boundaries, Journal of Computational and Applied Mathematics, 329 (2018) 164-172.
[19] Han Wang, Chun-Gang Zhu*, Xuan-Yi Zhao, The number of regular control surfaces of toric patches, Journal of Computational and Applied Mathematics, 329(2018) 280-293.
[20] Jinming Wu*, Chungang Zhu, The maximum number and its distribution of singular points for parametric piecewise algebraic curves, Journal of Computational and Applied Mathematics. 329 (2018) 322–330.
[21] Jiang Qian*, Fan Wang, Chungang Zhu, Scattered data interpolation based upon bivariate recursive polynomials, Journal of Computational and Applied Mathematics 329 (2018) 223–243.
[22] Han Wang, Chun-GangZhu*, The number of regular control curves of NURBS curve, in: Proceedings of the Computer Graphics International Conference (CGI 2018), Bintan, Indonesia, June 11-14, 2018. ISBN 978-1-4503-6401-0, ACM, New York, NY, USA, Pages 41-50.
[23] 李敬改, 陈秋阳, 韩佳琦, 黄奇立, 朱春钢*,一类特殊基函数构造的参数曲线, 计算机科学. 45(3) (2018), 46-50.
[24] 吴金明*，单婷婷，朱春钢, 连续区间上积分值的二次样条拟插值, 系统科学与数学, 38 (12) (2018): 1407-1416.
[25] 高钦姣, 张胜刚*, 谢风媛, 朱春钢, 基于MQ 拟插值的Sine-Gordon方程自适应保辛数值解法,计算机辅助几何设计与图形学学报， 30 (7) (2018)，1224-1229.
2017年
[26] Hui Wang, Chun-Gang Zhu*, Cai-Yun Li, Construction of B-spline surface from cubic B-spline asymptotic quadrilateral, Journal of Advanced Mechanical Design, Systems, and Manufacturing, special issue on ACDDE 2016, 11 (4) (2017), JAMDSM0044.
[27] 王慧, 朱春钢*, 李彩云, 插值有理Bézier渐近四边形的有理Bézier曲面, 《计算机辅助设计与图形学报》, 29(8) (2017), 1497-1504.
[28] Yue Zhang, Chun-GangZhu*, Qing-Jie Guo, Degenerations of Rational Bézier Surface with Weights in the Form of Exponential Function, Applied Mathematics-A Journal of Chinese Universities Series B, 2017, 32(2): 164-182.
[29] Yue Zhang, Chun-GangZhu*, Qing-Jie Guo, On the limits of NURBS surfaces with varying weights, Advances in Mechanical Engineering, 2017, 9(5) 1–16, https://doi.org/10.1177/**00547.
[30] Xuan-Yi Zhao, Chun-GangZhu*, Han Wang, Geometric conditions of non-self-intersections of NURBS surface, Applied Mathematics and Computation, 310 (2017) 89-96.
[31] Cai-YunLi,Chun-GangZhu*, The classification of bi-quintic parametric polynomial minimal surfaces, Appl. Math. J. Chinese Univ. 2017, 32(1): 14-26.
[32] Hui Wang, Chungang Zhu*, Caiyun Li, Identication and Hermite interpolation of planar sextic Pythagorean-hodograph curves, Journal of Mathematical Research with Applications. 2017, Vol. 37, No. 1, pp. 59-72.
[33] Rengui Yu *, Chungang Zhu, Xianmin Hou, Li Yin, Quasi-interpolation operators of bivariate quintic spline space and their applications, Mathematical and Computational Applications, Special Issue "Information and Computational Science", Math. Comput. Appl. 2017, 22(1), 10; doi:10.3390/mca**.
[34] 吴金明，张雨，张晓磊，朱春钢, 连续区间上积分值的偶次样条插值, 系统科学与数学 (CM2017专刊)， 2017 Vol. 37 (10): 2085-2094.
2016年
[35] Xuan-Yi Zhao, Chun-GangZhu*, Injectivity of NURBS curves, Journal of Computational and Applied Mathematics, 302 (2016) 129-138.
[36] Lan-Yin Sun, Chun-Gang Zhu*, Approximation of Minimal Toric Bezier Patch, Advances in Mechanical Engineering, June 2016 vol. 8 no. 6 **54667.
[37] 张跃, 朱春钢*, 郭庆杰, 具有指数函数形式权因子的有理Bézier曲线退化,《计算机辅助设计与图形学学报》, Vol. 28, No. 12, 2016, 2067-2074。
[38] 张骥, 朱春钢*, 冯仁忠, 刘明明，张恒洋，一种改进的B样条翼型参数化方法,，图学学报，, 2016 Vol. 37 (3): 342-348.
[39] 王慧，朱春钢*，李彩云, 六次PH曲线G2 Hermite插值,《图学学报》, 2016 Vol. 37 (2): 155-165.
[40] 李彩云*, 项昕，朱春钢，插值曲率线的直纹面可展设计,《中国图像图形学报》，21(4) (2016), 527-531.
[41] 张丽娜, 孔雨秋, 李淑华, 刘秀平*, 曹俊杰, 朱春钢, 基于通勤距离的显著性检测方法, 计算机辅助设计与图形学学报, 2016 , 28 ( 3 ): 395-403.

2015年
[42] Chun-GangZhu*, Bao-Yu Xia, A family of bivariate rational Bernstein operators, Applied Mathematics and Computation, 258 (2015), 162-171.
[43] Cai-YunLi;Chun-GangZhu*;Ren-HongWang, SpacelikedevelopablesurfacesthroughacommonlineofcurvatureinMinkowski3-space, Journal of Advanced Mechanical Design, Systems and Manufacturing (Proc. ACDDE 2014)，Vol.9, No.4, 2015: JAMDSM0050. Article ID: 14-0050.
[44] Xuan-Yi Zhao, Chun-GangZhu*, Injectivity of rational Bezier surfaces, Computers & Graphics (Proc. SMI 2015), Volume 51, 2015, 17-25.
[45] Lan-Yin Sun, Chun-GangZhu*, G^1 Continuity between Toric Surface Patches, Computer Aided Geometric Design(Proc. GMP 2015), vol. 35-36 (2015) pp. 255-267.
[46] 李彩云, 朱春钢*, 王仁宏, 插值特殊曲线的曲面造型研究, <中国科学：数学>，“庆贺徐利治教授95华诞专辑”， 2015年，45卷，第9期，1441-1456。
[47] 尹乐平, 张跃, 朱春钢*,二次NURBS 曲线的退化曲线, <图学学报>, 36(2), 2015,186-192.

2014年
[48] Chun-GangZhu*, Xuan-Yi Zhao, Self-intersections of Rational Bezier Curves, Graphical Models(Proc. GMP 2014), 76(5)(2014) pp. 312-320.
[49] R.H. Wang, Q.J. Guo*, C.G. Zhu, Multivariate Spline Approximation of the Signed Distance Function, Journal of Computational and Applied Mathematics, special issue on Trends in Computation. 265 (2014), 276-289.
[50] 孙兰银，朱春钢*，数据拟合的toric曲面方法，数值计算与计算机应用, 35(4) 2014, 297-304.
[51] 韩晓旭, 孙兰银, 朱春钢*, 构造多管道过渡曲面的toric曲面方法, 计算机辅助设计与图形学学报, 2014,26(10):1639-1645.
[52] 钱江*, 王仁宏, 朱春钢, 王凡,二元三次样条空间$S_{3}^{1,2}(\Delta_{mn}^{(2)})$的样条拟插值,《中国科学：数学》,几何设计与计算专辑, 44(7)(2014), 769-778.

2013年
[53] C.Y. Li, R.H. Wang, C.G. Zhu*, An approach for designing a developable surface through a given line of curvature, Computer-Aided Design, 45 (3) (2013), 621-627.
[54] C.Y. Li, R.H. Wang, C.G. Zhu*, A generalization of surface family with common line of curvature, Applied Mathematics and Computation, 219 (17) (2013), 9500-9507.
[55] C.Y. Li, R.H. Wang, C.G. Zhu*, Designing approximation minimal surfaces with geodesics, Appl. Math. Model., 37(9) (2013), 6415-6424.
[56] R.G. Yu*, R.H. Wang, C.G. Zhu, A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation，Applicable Analysis, 92 ( 8 ) pp. 1682 - 1690 .
[57] R.G. Yu*, R.H. Wang, C.G. Zhu, A numerical method for solving KdV equation with blended B-spline quasi-interpolation，Journal of Information & Computational Science 10(16) (2013) 5093–5101.
[58] 朱春钢*, 杨莉, 赵轩艺, 夏宝玉，有理Bézier曲线的自交点，计算机辅助设计与图形学学报，2013年，第25卷，第5期，738-744.
2012年
[59] C.G. Zhu *, Degenerations of toric ideals and toric varieties, Journal of Mathematical Analysis and Applications, 386(2)(2012),613-618 .
[60] C.G. Zhu*, R.H. Wang, Algebra-geometry of piecewise algebraic varieties, Acta Mathematica Sinica, English Series, 28(10)(2012) ,1973-1980.
[61] C.G. Zhu *, Some properties of the quasi-cross-cut partition and the dimension of bivariate continuous spline space, Ars Combinatoria, 105 (2012), 355-360
[62] H.Y. Liu, C.G. Zhu*, C.Y. Li, Constructing N-sided toric surface patches from boundary curves, J. Information and Comput. Sci., 9(3)(2012), 737-743.
2011年
[63] C.G. Zhu *，R. H. Wang, The correspondence between multivariate spline ideals and piecewise algebraic varieties, Journal of Computational and Applied Mathematics, 236 (5) (2011), 793-800.
[64] Luis David Garcia-Puente, Frank Sottile*, Chungang Zhu, Toric degenerations of Bezier patches, ACM Transaction on Graphics, 30(5) (2011), Article 110, 10 pages. Presented at SIGGRAPH 2013
[65] C.Y. Li, R.H. Wang, C.G. Zhu*, Parametric representation of a surface pencil with a common spatial line of curvature, Computer-Aided Design, 43(9) (2011), 1110-1117.
[66] C.Y. Li, R.H. Wang, C.G. Zhu*, Design and G1 connection of developable surfaces through Bezier geodesics, Applied Mathematics and Computation, 218(7) (2011), 3199-3208.
[67] B. Guo, R.H. Wang, C.G. Zhu*, A note on multi-step difference scheme, Journal of Computational and Applied Mathematics, 236 (5) (2011), 647-652.
[68] R.H. Wang, M. Li*, C.G. Zhu*, Some research on the relation among CSC method, box-spline and hyperplane arrangement, Journal of Computational and Applied Mathematics, 236 (5) (2011) , 775-781.
[69] K. Qu*, R.H. Wang, C.G. Zhu, Fitting C^1 surfaces to scattered data with S^1_2 (\Delta^{(2)}_{m,n}), Journal of Computational Mathematics, 29(4)(2011), 396-414.
[70] Z.W. Jiang*, R.H. Wang, C.G. Zhu, Min Xu, High accuracy multiquadric quasi-interpolation, Appl. Math. Modeling, 35 (5) (2011), 2185-2195.
[71] R.G. Yu*, R.H. Wang, C.G. Zhu, Curve interpolation with length constraint in a discrete manner, J. Information and Comput. Sci., 8(6) (2011), 859-868.
[72] M.L Xiao, R.H. Wang, C.G. Zhu*, Applying multiquadric quasi-interpolation to solve KdV equation, Journal of Mathematical Research & Exposition, 31(2)(2011), 191-201.
2010年
[73] C.G. Zhu*, R.H. Wang, Geometric interpolants with different degrees of smoothness, International Journal of Computer Mathematics, 87(9)(2010), 1907–1917.
[74] C.G. Zhu*, W.S. Kang, Numerical solution of Burgers-Fisher equation by cubic B-spline quasi-interpolation, Applied Mathematics and Computation, 216 (9) (2010) 2679–2686.
[75] C.Y. Li, C.G. Zhu*, A multilevel univariate cubic spline quasi-interpolation and application to numerical integration, Mathematical Methods in the Applied Sciences, 33(13)(2010), 1578-1586.
[76] C.G. Zhu*, W.S. Kang, Appling cubic B-spline quasi-interpolation to solve Hyperbolic Conservation Laws, University POLITEHNICA of Bucharest Scientific Bulletin Series D: Mechanical Engineering, 72(4)(2010), 49-58.
[77] 李彩云, 朱春钢*, 王仁宏, 参数曲线的分段近似隐式化, 高校应用数学学报, 25(2)(2010), 202-210.
2009年
[78] C.G. Zhu*, R.H. Wang, Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation，Applied Mathematics and Computation, 208(1)(2009), 260-272.
[79] 朱春钢*, 王仁宏, 拟贯穿剖分上分片代数曲线的N?ther 型定理, 中国科学 A辑：数学, 39(1)(2009), 27-33. 英文版：C.G. Zhu*, R.H. Wang, N?ther-type theorem of piecewise algebraic curves on quasi-cross-cut partition, Science in China Series A: Mathematics, 52(4)(2009), 701-708.
[80] 朱春钢*, 王仁宏, 拟贯穿剖分上二元样条的Lagrange插值, 数学年刊A辑, 30A(2)(2009), 221-230. 英文版C.G. Zhu*, R.H. Wang, Lagrange interpolation by bivariate splines over quasi-cross-cut partitions, translation in Chinese J. Contemp. Math. 30(2) (2009), 175-184.
[81] 朱春钢*, 李彩云, 王仁宏，异度隐函数样条曲线曲面，计算机辅助设计与图形学学报, 21(7)( 2009), 930-935.
2008年
[82] 王仁宏、李崇君、朱春钢，《计算几何教程》，科学计算及其软件教学丛书，北京：科学出版社，2008.
[83] C.G. Zhu*, R.H. Wang, X. Shi, F. Liu, Functional splines with different degrees of smoothness and their applications, Computer-Aided Design, 40(5)(2008), 616-624.
[84] C.G. Zhu*, R.H. Wang, Some researches on real piecewise algebraic curves, Journal of Mathematical Research & Exposition, 28(2)(2008), 287-296.

2007年
[85] 朱春钢*, 王仁宏, 三角剖分上分片代数曲线的N?ther 型定理, 中国科学 A辑：数学, 37(4) (2007), 425-430. 英文版：C.G. Zhu*, R.H. Wang, N?ther-type theorem of piecewise algebraic curves on triangulation, Science in China Series A: Mathematics, 50(9)( 2007), 1227–1232.
[86] C.G. Zhu*, R.H. Wang, Least-squares fitting of piecewise algebraic curves, Mathematical Problems in Engineering, 2007(2007), Article ID 78702, 11 pages.
2006年
[87] C.G. Zhu*, R.H. Wang, Lagrange interpolation by bivariate splines on cross-cut partitions, Journal of Computational and Applied Mathematics, 195 (1-2) (2006), 326-340.
[88] C.G. Zhu*, R.H. Wang, N?ther-type theorem and its application, Journal of Information and Computational Science, 3 (2) (2006), 365-372.
[89] 朱春钢, 二元线性样条函数插值, 应用数学, 19(3) (2006), 575-579.
2005年
[90] C.G. Zhu*, R.H. Wang, Piecewise semialgebraic sets, Journal of Computational Mathematics, 23 (5) (2005), 503-512.
[91] C.G. Zhu*, R.H. Wang, Geometric Hermite interpolation for space curves by B-spline, 软件学报, 16 (4) (2005), 634-642.

2004年
[92] R.H. Wang, C.G. Zhu*, Cayley-Bacharach theorem of piecewise algebraic curves, Journal of Computational and Applied Mathematics, 163 (1) (2004), 269-276.
[93] R.H. Wang, C.G. Zhu*, N?ther-type theorem of piecewise algebraic curves, Progress in Natural Science, 14 (4) (2004), 309-313.
[94] R.H. Wang, C.G. Zhu*, Piecewise algebraic varieties, Progress in Natural Science, 14 (7) (2004), 568-572.
[95] C.G. Zhu*, R.H. Wang, Real piecewise algebraic curves, Journal of Information and Computational Science, 1 (1) (2004),169-173.
2003年
[96] 王仁宏, 朱春钢, 实分片代数曲线的拓扑结构, 计算数学, 25(4) (2003), 505-512; 英文版：Chinese Journal of Numerical Mathematics and Applications, 26 (1) (2004), 89-100.

教材与专著
计算几何教程
科研项目
参数曲线曲面的几何性质研究, 国家自然科学基金项目, 2016/08/17, 进行
2014年度辽宁省高等学校优秀人才支持计划（第二层次）, 省、市、自治区科技项目, 2014/07/11-2017/05/16, 完成
分片代数簇的理论与应用研究, 主管部门科技项目, 2012/01/01-2014/03/01, 完成
Toric曲面研究, 国家自然科学基金项目, 2012/09/25-2016/12/31, 完成
分片代数曲线曲面的理论与应用研究, 国家自然科学基金项目, 2008/09/25-2011/12/31, 完成
计算几何中的若干问题及其应用研究, 国家自然科学基金项目, 2007/09/25-2008/12/31, 完成

教授博士生导师硕士生导师
主要任职：无
性别：男
毕业院校：大连理工大学
学位：博士
在职信息：在职
所在单位：数学科学学院
学科：计算数学
办公地点：创新园大厦（大黑楼）A1116
联系方式： cgzhu@dlut.edu.cn**-8116
电子邮箱：
手机版
访问量：
开通时间： ..
最后更新时间： ..
同专业博导同专业硕导个人学术主页

当前位置: 中文主页 >> 科学研究 >> 期刊论文列表
录用待发表
[1] Jing-Gai Li, Ye Ji, Chun-Gang Zhu*, De Casteljau algorithm and degree elevation of toric surface patches, Journal of System Sciences and Complexity, accepted.
2020年
[2] Ying-Ying Yu, Ye Ji, Chun-GangZhu*, An improved algorithm for checking the injectivity of 2D toric surface patches, Computers and Mathematics with Applications, 2020, https://doi.org/10.1016/j.camwa.2020.01.001.
[3] Jing-Gai Li, Chun-Gang Zhu*, Curve and surface construction based on the generalized toric-Bernstein basis functions, Open Mathematics(formerly Cent. Euro. J. Math.), 18 (2020), 36-56.
[4] Caiyun Li, Chungang Zhu*, Designing Developable C-Bézier Surface with Shape Parameters, Mathematics, 8 (3) (2020), 402.
[5] 韩志红，朱春钢*，能量约束的Bézier曲线构造，计算机辅助设计与图形学学报, 32 (2) (2020), 213-221.
2019年
[6] Hui Wang, Chun-Gang Zhu*, Cai-Yun Li, The design of Bezier surface through quintic Bezier asymptotic quadrilateral, Journal of Computational Mathematics, 37 (5) (2019), 723-740.
[7] Ying-Ying Yu, Hui Ma and Chun-Gang Zhu*, Total Positivity of a Kind of Generalized Toric-Bernstein Basis, Linear Algebra and Its Applications, 579 (2019), 449-462.
[8] Lan-Yin Sun*, Chun-GangZhu, Bézier surfaces with special coordinate curve nets, Journal of Mathematical Research with Applications，39 (6) (2019), 700–708. Dedicated to the Memory of Professor L. C. HSU on the Occasion of His 100th Birthday
[9] Sheng-Gang Zhang, Chun-Gang Zhu*, Qin-Jiao Gao, Numerical solution of high dimensional shock wave equations by bivariate multi-quadric quasi-interpolation, Mathematics, 7 (8) (2019), 734.
[10] Lan-Yin Sun*, Chun-GangZhu, B-spline solutions of general Euler-Lagrange equations, Mathematics, Special Issue on Discrete and Computational Geometry, 7 (4) (2019), 365.
[11] 吴金明，单婷婷，朱春钢，连续区间上积分值的MQ拟插值算子，系统科学与数学，39 (12) (2019), 1972-1982.

2018年
[12] Lanyin Sun, ChungangZhu*, Curvature continuity conditions between adjacent toric surface patches, Computer Graphics Forum (special issue on Pacific Graphics 2018), 37(7) (2018), 469-477.
[13] Lan-Yin Sun, Chun-GangZhu, q-Ferguson curves, Advances in Mechanical Engineering, 10(11) (2018) 1–6. doi: 10.1177/**09295.
[14] Yue Zhang, Chun-GangZhu*, Degenerations of NURBS curves while all of weights approaching infinity, Japan Journal of Industrial and Applied Mathematics, 35 (2) (2018), 787–816.
[15] Yue Zhang, Zhi-Qiang Jia, Chun-Gang Zhu*, Error bounds for polynomial minimization over the hypercube-simploids, Pacific Journal of Optimization, 14 (2) (2018), 193-210.
[16] Han Wang, Chun-GangZhu*, Regular Decomposition in Integer Programming, Journal of Mathematical Research with Applications. 38 (2) (2018), 194-206.
[17] Mingzeng Liu*; Baojun Li,; Qingjie Guo,; Chungang Zhu,; Ping Hu, Yuanhai Shao, Progressive iterative approximation for regularized least square bivariate B-spline surface fitting, Journal of Computational and Applied Mathematics 327 (2018) 175–187.
[18] Cai-YunLi*,Chun-GangZhu, G1 continuity of four pieces of developable surfaces with Bezier boundaries, Journal of Computational and Applied Mathematics, 329 (2018) 164-172.
[19] Han Wang, Chun-Gang Zhu*, Xuan-Yi Zhao, The number of regular control surfaces of toric patches, Journal of Computational and Applied Mathematics, 329(2018) 280-293.
[20] Jinming Wu*, Chungang Zhu, The maximum number and its distribution of singular points for parametric piecewise algebraic curves, Journal of Computational and Applied Mathematics. 329 (2018) 322–330.
[21] Jiang Qian*, Fan Wang, Chungang Zhu, Scattered data interpolation based upon bivariate recursive polynomials, Journal of Computational and Applied Mathematics 329 (2018) 223–243.
[22] Han Wang, Chun-GangZhu*, The number of regular control curves of NURBS curve, in: Proceedings of the Computer Graphics International Conference (CGI 2018), Bintan, Indonesia, June 11-14, 2018. ISBN 978-1-4503-6401-0, ACM, New York, NY, USA, Pages 41-50.
[23] 李敬改, 陈秋阳, 韩佳琦, 黄奇立, 朱春钢*,一类特殊基函数构造的参数曲线, 计算机科学. 45(3) (2018), 46-50.
[24] 吴金明*，单婷婷，朱春钢, 连续区间上积分值的二次样条拟插值, 系统科学与数学, 38 (12) (2018): 1407-1416.
[25] 高钦姣, 张胜刚*, 谢风媛, 朱春钢, 基于MQ 拟插值的Sine-Gordon方程自适应保辛数值解法,计算机辅助几何设计与图形学学报， 30 (7) (2018)，1224-1229.
2017年
[26] Hui Wang, Chun-Gang Zhu*, Cai-Yun Li, Construction of B-spline surface from cubic B-spline asymptotic quadrilateral, Journal of Advanced Mechanical Design, Systems, and Manufacturing, special issue on ACDDE 2016, 11 (4) (2017), JAMDSM0044.
[27] 王慧, 朱春钢*, 李彩云, 插值有理Bézier渐近四边形的有理Bézier曲面, 《计算机辅助设计与图形学报》, 29(8) (2017), 1497-1504.
[28] Yue Zhang, Chun-GangZhu*, Qing-Jie Guo, Degenerations of Rational Bézier Surface with Weights in the Form of Exponential Function, Applied Mathematics-A Journal of Chinese Universities Series B, 2017, 32(2): 164-182.
[29] Yue Zhang, Chun-GangZhu*, Qing-Jie Guo, On the limits of NURBS surfaces with varying weights, Advances in Mechanical Engineering, 2017, 9(5) 1–16, https://doi.org/10.1177/**00547.
[30] Xuan-Yi Zhao, Chun-GangZhu*, Han Wang, Geometric conditions of non-self-intersections of NURBS surface, Applied Mathematics and Computation, 310 (2017) 89-96.
[31] Cai-YunLi,Chun-GangZhu*, The classification of bi-quintic parametric polynomial minimal surfaces, Appl. Math. J. Chinese Univ. 2017, 32(1): 14-26.
[32] Hui Wang, Chungang Zhu*, Caiyun Li, Identication and Hermite interpolation of planar sextic Pythagorean-hodograph curves, Journal of Mathematical Research with Applications. 2017, Vol. 37, No. 1, pp. 59-72.
[33] Rengui Yu *, Chungang Zhu, Xianmin Hou, Li Yin, Quasi-interpolation operators of bivariate quintic spline space and their applications, Mathematical and Computational Applications, Special Issue "Information and Computational Science", Math. Comput. Appl. 2017, 22(1), 10; doi:10.3390/mca**.
[34] 吴金明，张雨，张晓磊，朱春钢, 连续区间上积分值的偶次样条插值, 系统科学与数学 (CM2017专刊)， 2017 Vol. 37 (10): 2085-2094.
2016年
[35] Xuan-Yi Zhao, Chun-GangZhu*, Injectivity of NURBS curves, Journal of Computational and Applied Mathematics, 302 (2016) 129-138.
[36] Lan-Yin Sun, Chun-Gang Zhu*, Approximation of Minimal Toric Bezier Patch, Advances in Mechanical Engineering, June 2016 vol. 8 no. 6 **54667.
[37] 张跃, 朱春钢*, 郭庆杰, 具有指数函数形式权因子的有理Bézier曲线退化,《计算机辅助设计与图形学学报》, Vol. 28, No. 12, 2016, 2067-2074。
[38] 张骥, 朱春钢*, 冯仁忠, 刘明明，张恒洋，一种改进的B样条翼型参数化方法,，图学学报，, 2016 Vol. 37 (3): 342-348.
[39] 王慧，朱春钢*，李彩云, 六次PH曲线G2 Hermite插值,《图学学报》, 2016 Vol. 37 (2): 155-165.
[40] 李彩云*, 项昕，朱春钢，插值曲率线的直纹面可展设计,《中国图像图形学报》，21(4) (2016), 527-531.
[41] 张丽娜, 孔雨秋, 李淑华, 刘秀平*, 曹俊杰, 朱春钢, 基于通勤距离的显著性检测方法, 计算机辅助设计与图形学学报, 2016 , 28 ( 3 ): 395-403.

2015年
[42] Chun-GangZhu*, Bao-Yu Xia, A family of bivariate rational Bernstein operators, Applied Mathematics and Computation, 258 (2015), 162-171.
[43] Cai-YunLi;Chun-GangZhu*;Ren-HongWang, SpacelikedevelopablesurfacesthroughacommonlineofcurvatureinMinkowski3-space, Journal of Advanced Mechanical Design, Systems and Manufacturing (Proc. ACDDE 2014)，Vol.9, No.4, 2015: JAMDSM0050. Article ID: 14-0050.
[44] Xuan-Yi Zhao, Chun-GangZhu*, Injectivity of rational Bezier surfaces, Computers & Graphics (Proc. SMI 2015), Volume 51, 2015, 17-25.
[45] Lan-Yin Sun, Chun-GangZhu*, G^1 Continuity between Toric Surface Patches, Computer Aided Geometric Design(Proc. GMP 2015), vol. 35-36 (2015) pp. 255-267.
[46] 李彩云, 朱春钢*, 王仁宏, 插值特殊曲线的曲面造型研究, <中国科学：数学>，“庆贺徐利治教授95华诞专辑”， 2015年，45卷，第9期，1441-1456。
[47] 尹乐平, 张跃, 朱春钢*,二次NURBS 曲线的退化曲线, <图学学报>, 36(2), 2015,186-192.

2014年
[48] Chun-GangZhu*, Xuan-Yi Zhao, Self-intersections of Rational Bezier Curves, Graphical Models(Proc. GMP 2014), 76(5)(2014) pp. 312-320.
[49] R.H. Wang, Q.J. Guo*, C.G. Zhu, Multivariate Spline Approximation of the Signed Distance Function, Journal of Computational and Applied Mathematics, special issue on Trends in Computation. 265 (2014), 276-289.
[50] 孙兰银，朱春钢*，数据拟合的toric曲面方法，数值计算与计算机应用, 35(4) 2014, 297-304.
[51] 韩晓旭, 孙兰银, 朱春钢*, 构造多管道过渡曲面的toric曲面方法, 计算机辅助设计与图形学学报, 2014,26(10):1639-1645.
[52] 钱江*, 王仁宏, 朱春钢, 王凡,二元三次样条空间$S_{3}^{1,2}(\Delta_{mn}^{(2)})$的样条拟插值,《中国科学：数学》,几何设计与计算专辑, 44(7)(2014), 769-778.

2013年
[53] C.Y. Li, R.H. Wang, C.G. Zhu*, An approach for designing a developable surface through a given line of curvature, Computer-Aided Design, 45 (3) (2013), 621-627.
[54] C.Y. Li, R.H. Wang, C.G. Zhu*, A generalization of surface family with common line of curvature, Applied Mathematics and Computation, 219 (17) (2013), 9500-9507.
[55] C.Y. Li, R.H. Wang, C.G. Zhu*, Designing approximation minimal surfaces with geodesics, Appl. Math. Model., 37(9) (2013), 6415-6424.
[56] R.G. Yu*, R.H. Wang, C.G. Zhu, A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation，Applicable Analysis, 92 ( 8 ) pp. 1682 - 1690 .
[57] R.G. Yu*, R.H. Wang, C.G. Zhu, A numerical method for solving KdV equation with blended B-spline quasi-interpolation，Journal of Information & Computational Science 10(16) (2013) 5093–5101.
[58] 朱春钢*, 杨莉, 赵轩艺, 夏宝玉，有理Bézier曲线的自交点，计算机辅助设计与图形学学报，2013年，第25卷，第5期，738-744.
2012年
[59] C.G. Zhu *, Degenerations of toric ideals and toric varieties, Journal of Mathematical Analysis and Applications, 386(2)(2012),613-618 .
[60] C.G. Zhu*, R.H. Wang, Algebra-geometry of piecewise algebraic varieties, Acta Mathematica Sinica, English Series, 28(10)(2012) ,1973-1980.
[61] C.G. Zhu *, Some properties of the quasi-cross-cut partition and the dimension of bivariate continuous spline space, Ars Combinatoria, 105 (2012), 355-360
[62] H.Y. Liu, C.G. Zhu*, C.Y. Li, Constructing N-sided toric surface patches from boundary curves, J. Information and Comput. Sci., 9(3)(2012), 737-743.
2011年
[63] C.G. Zhu *，R. H. Wang, The correspondence between multivariate spline ideals and piecewise algebraic varieties, Journal of Computational and Applied Mathematics, 236 (5) (2011), 793-800.
[64] Luis David Garcia-Puente, Frank Sottile*, Chungang Zhu, Toric degenerations of Bezier patches, ACM Transaction on Graphics, 30(5) (2011), Article 110, 10 pages. Presented at SIGGRAPH 2013
[65] C.Y. Li, R.H. Wang, C.G. Zhu*, Parametric representation of a surface pencil with a common spatial line of curvature, Computer-Aided Design, 43(9) (2011), 1110-1117.
[66] C.Y. Li, R.H. Wang, C.G. Zhu*, Design and G1 connection of developable surfaces through Bezier geodesics, Applied Mathematics and Computation, 218(7) (2011), 3199-3208.
[67] B. Guo, R.H. Wang, C.G. Zhu*, A note on multi-step difference scheme, Journal of Computational and Applied Mathematics, 236 (5) (2011), 647-652.
[68] R.H. Wang, M. Li*, C.G. Zhu*, Some research on the relation among CSC method, box-spline and hyperplane arrangement, Journal of Computational and Applied Mathematics, 236 (5) (2011) , 775-781.
[69] K. Qu*, R.H. Wang, C.G. Zhu, Fitting C^1 surfaces to scattered data with S^1_2 (\Delta^{(2)}_{m,n}), Journal of Computational Mathematics, 29(4)(2011), 396-414.
[70] Z.W. Jiang*, R.H. Wang, C.G. Zhu, Min Xu, High accuracy multiquadric quasi-interpolation, Appl. Math. Modeling, 35 (5) (2011), 2185-2195.
[71] R.G. Yu*, R.H. Wang, C.G. Zhu, Curve interpolation with length constraint in a discrete manner, J. Information and Comput. Sci., 8(6) (2011), 859-868.
[72] M.L Xiao, R.H. Wang, C.G. Zhu*, Applying multiquadric quasi-interpolation to solve KdV equation, Journal of Mathematical Research & Exposition, 31(2)(2011), 191-201.
2010年
[73] C.G. Zhu*, R.H. Wang, Geometric interpolants with different degrees of smoothness, International Journal of Computer Mathematics, 87(9)(2010), 1907–1917.
[74] C.G. Zhu*, W.S. Kang, Numerical solution of Burgers-Fisher equation by cubic B-spline quasi-interpolation, Applied Mathematics and Computation, 216 (9) (2010) 2679–2686.
[75] C.Y. Li, C.G. Zhu*, A multilevel univariate cubic spline quasi-interpolation and application to numerical integration, Mathematical Methods in the Applied Sciences, 33(13)(2010), 1578-1586.
[76] C.G. Zhu*, W.S. Kang, Appling cubic B-spline quasi-interpolation to solve Hyperbolic Conservation Laws, University POLITEHNICA of Bucharest Scientific Bulletin Series D: Mechanical Engineering, 72(4)(2010), 49-58.
[77] 李彩云, 朱春钢*, 王仁宏, 参数曲线的分段近似隐式化, 高校应用数学学报, 25(2)(2010), 202-210.
2009年
[78] C.G. Zhu*, R.H. Wang, Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation，Applied Mathematics and Computation, 208(1)(2009), 260-272.
[79] 朱春钢*, 王仁宏, 拟贯穿剖分上分片代数曲线的N?ther 型定理, 中国科学 A辑：数学, 39(1)(2009), 27-33. 英文版：C.G. Zhu*, R.H. Wang, N?ther-type theorem of piecewise algebraic curves on quasi-cross-cut partition, Science in China Series A: Mathematics, 52(4)(2009), 701-708.
[80] 朱春钢*, 王仁宏, 拟贯穿剖分上二元样条的Lagrange插值, 数学年刊A辑, 30A(2)(2009), 221-230. 英文版C.G. Zhu*, R.H. Wang, Lagrange interpolation by bivariate splines over quasi-cross-cut partitions, translation in Chinese J. Contemp. Math. 30(2) (2009), 175-184.
[81] 朱春钢*, 李彩云, 王仁宏，异度隐函数样条曲线曲面，计算机辅助设计与图形学学报, 21(7)( 2009), 930-935.
2008年
[82] 王仁宏、李崇君、朱春钢，《计算几何教程》，科学计算及其软件教学丛书，北京：科学出版社，2008.
[83] C.G. Zhu*, R.H. Wang, X. Shi, F. Liu, Functional splines with different degrees of smoothness and their applications, Computer-Aided Design, 40(5)(2008), 616-624.
[84] C.G. Zhu*, R.H. Wang, Some researches on real piecewise algebraic curves, Journal of Mathematical Research & Exposition, 28(2)(2008), 287-296.

2007年
[85] 朱春钢*, 王仁宏, 三角剖分上分片代数曲线的N?ther 型定理, 中国科学 A辑：数学, 37(4) (2007), 425-430. 英文版：C.G. Zhu*, R.H. Wang, N?ther-type theorem of piecewise algebraic curves on triangulation, Science in China Series A: Mathematics, 50(9)( 2007), 1227–1232.
[86] C.G. Zhu*, R.H. Wang, Least-squares fitting of piecewise algebraic curves, Mathematical Problems in Engineering, 2007(2007), Article ID 78702, 11 pages.
2006年
[87] C.G. Zhu*, R.H. Wang, Lagrange interpolation by bivariate splines on cross-cut partitions, Journal of Computational and Applied Mathematics, 195 (1-2) (2006), 326-340.
[88] C.G. Zhu*, R.H. Wang, N?ther-type theorem and its application, Journal of Information and Computational Science, 3 (2) (2006), 365-372.
[89] 朱春钢, 二元线性样条函数插值, 应用数学, 19(3) (2006), 575-579.
2005年
[90] C.G. Zhu*, R.H. Wang, Piecewise semialgebraic sets, Journal of Computational Mathematics, 23 (5) (2005), 503-512.
[91] C.G. Zhu*, R.H. Wang, Geometric Hermite interpolation for space curves by B-spline, 软件学报, 16 (4) (2005), 634-642.

2004年
[92] R.H. Wang, C.G. Zhu*, Cayley-Bacharach theorem of piecewise algebraic curves, Journal of Computational and Applied Mathematics, 163 (1) (2004), 269-276.
[93] R.H. Wang, C.G. Zhu*, N?ther-type theorem of piecewise algebraic curves, Progress in Natural Science, 14 (4) (2004), 309-313.
[94] R.H. Wang, C.G. Zhu*, Piecewise algebraic varieties, Progress in Natural Science, 14 (7) (2004), 568-572.
[95] C.G. Zhu*, R.H. Wang, Real piecewise algebraic curves, Journal of Information and Computational Science, 1 (1) (2004),169-173.
2003年
[96] 王仁宏, 朱春钢, 实分片代数曲线的拓扑结构, 计算数学, 25(4) (2003), 505-512; 英文版：Chinese Journal of Numerical Mathematics and Applications, 26 (1) (2004), 89-100.

教授博士生导师硕士生导师
主要任职：无
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毕业院校：大连理工大学
学位：博士
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学科：计算数学
办公地点：创新园大厦（大黑楼）A1116
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当前位置: 中文主页 >> 科学研究 >> 科研项目
[1]参数曲线曲面的几何性质研究, 国家自然科学基金, 2016/08/17, 进行
[2]2014年度辽宁省高等学校优秀人才支持计划（第二层次）, 辽宁省高等学校优秀人才支持计划项目, 2014/07/11-2017/05/16, 完成
[3]分片代数簇的理论与应用研究, 教育部留学归国人员科研启动基金项目, 2012/01/01-2014/03/01, 完成
[4]Toric曲面研究, 国家自然科学基金, 2012/09/25-2016/12/31, 完成
[5]分片代数曲线曲面的理论与应用研究, 国家自然科学基金, 2008/09/25-2011/12/31, 完成
[6]计算几何中的若干问题及其应用研究, 国家自然科学基金, 2007/09/25-2008/12/31, 完成
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教授博士生导师硕士生导师
主要任职：无
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课程名称学年学期学时学分课程号计算几何 2019-2020 秋学期 48 3 ** 数值逼近与计算几何 2019-2020 秋学期 48 3 ** 计算几何 2019-2020 秋学期 48 3 ** 数值逼近与计算几何 2019-2020 秋学期 48 3 ** 线性代数A 2018-2019 春学期 56 3 ** 计算几何 2018-2019 秋学期 48 3 ** 数值逼近与计算几何 2018-2019 秋学期 48 3 ** 线性代数A 2017-2018 春学期 56 3 ** 计算几何 2017-2018 秋学期 48 3 ** 数值逼近与计算几何 2017-2018 秋学期 48 3 **
研究生课程
课程名称学年学期学时学分课程号计算几何 2019-2020 秋学期 48 3 ** 计算几何 2018-2019 秋学期 48 3 ** 计算几何 2017-2018 秋学期 48 3 **