大连理工大学研究生院-导师信息

朱春钢
院系：	数学科学学院
办公电话：	0411-84708351-8315
电子信箱：	cgzhu@dlut.edu.cn
更新时间：	2013-4-20
其他专业：	无

个人简介

1996.9-2000.7 ：山东大学数学学院信息与计算科学专业理学学士
2000.9-2005.7 ：大连理工大学数学科学学院计算数学专业理学博士
2009.9-2010.9 ：美国Texas A&M大学数学系访问学者
2005.7-至今：大连理工大学数学科学学院计算科学研究所讲师、副教授
2006.5-至今：大连理工大学数学科学学院硕士生导师
2011.7-至今：大连理工大学数学科学学院博士生导师

社会兼职

美国数学会会员, 美国数学评论(MR)评论员，中国计算机学会会员，中国工业与应用数学学会几何设计与计算专委会委员
Abstract and Applied Analysis, member of Editorial Board

研究领域（研究课题）

计算几何理论与应用

硕博研究方向

计算几何, 计算机辅助几何设计

出版著作和论文

出版教材：
[1] 王仁宏、李崇君、朱春钢，《计算几何教程》，北京：科学出版社，2008.

期刊论文：
[1] 王仁宏,朱春钢,实分片代数曲线的拓扑结构,计算数学,Vol.25, No.4, 2003, 505-512; 英文版: Chinese Journal of Numerical Mathematics and Applications, Vol.26, No.1, 2004, 89-100.
[2] C.G. Zhu, R.H. Wang, Real piecewise algebraic curves, Proceedings of ISC&I 2004, R. H. Wang and X. N. Luo (eds.), Vol.2, CIC Media Ltd., Hong Kong, 2004, 1152-1157.
[3] C.G. Zhu, R.H. Wang, Real piecewise algebraic curves, Journal of Information and Computational Science, Vol.1, No.1, 2004, 169-173.
[4] R.H. Wang, C.G. Zhu, Piecewise algebraic varieties, Progress in Natural Science, Vol.14, No.7, 2004, 568-572.
[5] R.H. Wang, C.G. Zhu, Noether-type theorem of piecewise algebraic curves, Progress in Natural Science, Vol.14, No.4, 2004, 309-313.
[6] R.H. Wang, C.G. Zhu, Cayley-Bacharach theorem of piecewise algebraic curves, Journal of Computational and Applied Mathematics, Vol.163, No.1, 2004, 269-276.
[7] C.G. Zhu, R.H. Wang, Geometric Hermite interpolation for space curves by B-spline, 软件学报, Vol.16, No.4, 2005, 634-642.
[8] C.G. Zhu, R.H. Wang, Piecewise semialgebraic sets, Journal of Computational Mathematics, Vol.23, No.5, 2005, 503-512.
[9] 朱春钢，二元线性样条函数插值，应用数学，Vol.19, No.3 , 2006，575-579.
[10] C.G. Zhu, R.H. Wang, Noether-type theorem and its application, Journal of Information and Computational Science, Vol.3, No.2, 2006, 365-372.
[11] C.G. Zhu, R.H. Wang, Lagrange interpolation by bivariate splines on cross-cut partitions, Journal of Computational and Applied Mathematics, Vol.95, No.1-2, 2006, 326-340.
[12] 朱春钢, 王仁宏, 三角剖分上分片代数曲线的Noether型定理, 中国科学, A辑, Vol.37, No. 4, 2007, 425-430. (C.G. Zhu, R.H. Wang, Noether-type theorem of piecewise algebraic curves on triangulation, Science in China Series A: Mathematics, 2007, Vol. 50, No. 9, 1227–1232.)
[13] C.G. Zhu, R.H. Wang, Least-Squares Fitting of Piecewise Algebraic Curves, Mathematical Problems in Engineering, Volume 2007, Article ID 78702, 11 pages.
[14] C.G. Zhu, R.H. Wang, X. Shi, F. Liu, Functional splines with different degrees of smoothness and their applications, Computer-Aided Design, Vol. 40, No. 5, 2008, 616-624.
[15] C.G. Zhu, R.H. Wang, Some researches on real piecewise algebraic curves, Journal of Mathematical Research & Exposition, Vol.28, No.2, (2008), 287-296.
[16] 朱春钢，李彩云, 王仁宏，异度隐函数样条曲线曲面，彭群生等编，CAD/CG2008会议论文集，北京：电子工业出版社，2008，184-188.
[17] 朱春钢，王仁宏，拟贯穿剖分上分片代数曲线的Noether 型定理，中国科学 A辑：数学，Vol. 39, No.1, 2009, 27-33. 英文版：C.G. Zhu, R.H. Wang, Noether-type theorem of piecewise algebraic curves on quasi-cross-cut partition, Science in China Series A: Mathematics, Vol. 52, No.4,2009, 701-708.
[18] C.G. Zhu, R.H. Wang, Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation，Applied Mathematics and Computation，Volume 208, Issue 1, 2009, 260-272.
[19] 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, Vol.30A, No.2, 221-230. 英文版C.G. Zhu, R.H. Wang, Lagrange interpolation by bivariate splines over quasi-cross-cut partitions, Chinese J Consumption Mathematics, Vol.30, No.2.
[20] 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, 2010, 25(2): 202-210.
[21] C.G. Zhu, W.S. Kang, Numerical solution of Burgers-Fisher equation by cubic B-spline quasi-interpolation, Applied Mathematics and Computation 216 (2010) 2679–2686.
[22] C.G. Zhu, R.H.Wang, Geometric interpolants with di?erent degrees of smoothness, International Journal of Computer Mathematics, Vol. 87, No. 9, 2010, 1907–1917.
[23] C.Y. Li, C.G. Zhu, A multilevel univariate cubic spline quasi-interpolation and application to numerical integration, Mathematical Methods in Applied Sciences, Vol.33, Iss. 13, 2010, 1578-1586.
[24] C.G. Zhu, W.S. Kang, Appling cubic B-spline quasi-interpolation to solve Hyperbolic Conservation Laws, University POLITEHNICA of Bucharest Scientific Bulletin Series Series D: Mechanical Engineering,Vol.72, Issue 4, 2010, 49-58.
[25] Zi-Wu Jiang, Ren-Hong Wang, Chun-Gang Zhu，Min Xu, High Accuracy Multiquadric Quasi-interpolation，Appl. Math. Modeling, Vol. 35, 2011 , 2185-2195.
[26] M.L. Xiao, R.H. Wang, C.G. Zhu, Applying multiquadric quasi-interpolation to solve KdV equation, Journal of Mathematical Research & Exposition, Vol. 31, No.2, 2011，191-201.
[27] 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，Vol.29, No.4, 2011, 396–414.
[28] 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，Volume 43, Issue 9, (2011) 1110-1117.
[29] 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.
[30] 姚荣涵，王铁成，王建丽，朱春钢，协调信号交叉口间路段上的车辆排队模型。吉林大学学报（工学版）, 2011，41(6) 1585-1591.
[31] 姚荣涵，王建丽，王铁成，朱春钢，左转短车道长度与配时参数的协同优化模型，交通标准化, 第9期，总第244期，2011，167-171.
[32] Luis David Garcia-Puente, Frank Sottile, Chungang Zhu, Toric degenerations of Bezier patches, ACM Transaction on Graphics, Volume 30 Issue 5, Article 110 (October 2011), 10 pages. ArXiv version: http://arxiv.org/abs/1006.4903.
[33] C.G. Zhu,, Degenerations of toric ideals and toric varieties, Journal of Mathematical Analysis and Applications, 386 (2012), 613-618.
[34] 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.
[35] 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.
[36] 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 .
[37] 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.
[38] 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.
[39] 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.
[40] C.G. Zhu, R.H. Wang, Algebra-geometry of piecewise algebraic varieties, Acta Mathematica Sinica, English Series, 28(10)(2012) 1973-1980.
[41] 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, Computer-Aided Design 45 (3) (2013) 621-627.
[42] C.Y. Li, R.H. Wang, C.G. Zhu, Designing approximation minimal surfaces with geodesics, Appl. Math. Model., 37 (9) (2013) pp. 6415-6424.
[43] R.G. Yu, R.H. Wang, C.G. Zhu, A numerical method for solving KdV equation with multilevel B-spline quasi-interpolation, Applicable Analysis, DOI: 10.1080/00036811.2012.698267, to appear.
[44] 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, 25 (5) (2013).
[45] C.Y. Li, R.H. Wang, C.G. Zhu, A generalization of surface family with common line of curvature, Applied Mathematics and Computation 10.1016/j.amc.2013.03.077

会议报告：
[1] Cayley-Bacharach theorem of piecewise algebraic curves，International Symposium on Computational Mathematics and Applications (ISCMA) , 2002年8月29日-9月3日, 2002, Dalian.
[2] Real piecewise algebraic curves, International Symposium of Computing and Information 2004, Dalian, 2004.
[3] Noether-type theorem and its application，International Symposium on Information and Computational Science(ISICS) 2006, Dalian，August 15-18, 2006
[4] An Introduction to Piecewise Algebraic Variety，The 4th Algebraic Geometry and Geometric Modeling, July 21-26, 2009, Lijiang, China.
[5] Toric degenerations of Bezier patches, Algebraic Geometry Seminar, Department of Mathematics, Texas A&M University, 2010-3-22.
[6] The correspondence between multivariate spline ideals and piecewise algebraic varieties, The 7th International Conference on Scientific Computing and Applications，13-16 June, Dalian, 2010.
[7] Toric degenerations of Bezier patches，2011-4-14，中山大学信息学院，广州。
[8] Injectivity of 2D Toric Bezier Patches, 12th International Conference on Computer-Aided Design and Computer Graphics, 15-17 September 2011, Jinan, China.
[9] 基于边界曲线的N边域Toric曲面片生成, 第五届全国几何设计与计算学术会议(GDC 2011), 广州, 2011年11月12日－13日。
[10] Toric Degenerations of Bezier Patches，40分钟邀请报告，中国数学会第11次全国代表大会暨2011学术年会，2011-11月13-17日, 成都。
[11] Toric Degenerations of Bezier Patches，2011-11-22, 大连海事大学数学系，大连。
[12] 有理Bézier曲线的自交点，第十七届全国计算机辅助设计与图形学学术会议，2012年7月19日-21日，中国，青岛。
[13] Geometric Properties of Toric Bezier Patches，吉林大学-大连理工大学数学学术交流会，2012-11-10, 吉林大学数学学院，长春。
[14] Toric degenerations of Bezier patches, ACM SIGGRAPH 2013, 21-25, July, 2013, Anaheim, CA, USA.
[15] Representation of a Surface Pencil with a Common Line of Curvature, 2013 SIAM Conference on Applied Algebraic Geometry, minisymposium on "Approximation Theory, Geometric Modeling, and Algebraic Geometry", 1-4, Auguest, 2013, Colorado State University, Fort Collins, CO, USA.

工作成果（奖励、专利等）

负责基金项目：
1、“Toric曲面研究”, 国家自然科学基金项目（面上项目），No. 11271060，2013.1.1-2016.12.31，负责人；
2、“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（青年基金），No. 10801024，2009.1.1-2011.12.31，负责人；
3、“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（数学天元青年基金），No. 10726068，2008.1.1-2008.12.31，负责人；
4、“Toric曲面的理论与应用研究”，大连理工大学基本科研业务费专项项目（理科基金），2011.1-2012.12，负责人.

主要参加基金项目：
1、“数字几何媒体智能处理与应用研究”，国家自然科学基金（NSFC-广东省联合基金，重点项目），No. U0935004，2010.01-2013.12，主要参加人员；
2、“隐式曲面造型的理论和方法研究”，国家自然科学基金重点项目，No. 60533060，2006.01-2009.12，参加人员；

奖励：
指导博士生李彩云获得2011年教育部" 博士研究生学术新人奖"、"2012年大连理工大学优秀博士学位论文单项奖学金"、2012年"国家奖学金";
2008、2010、2011年大连理工大学教学质量优良奖;
2009、2011辽宁省自然科学学术成果奖（学术论文类）1等奖(排名第1);
2010年大连理工大学青年教师讲课竞赛2等奖，数学科学学院青年教师讲课竞赛1等奖.

在读学生人数

统招硕士生4人，软件工程硕士生2人，博士生2人

毕业学生人数

统招硕士3人（其中1人转博），高校教师硕士2人，软件工程硕士1人