承担项目:
吉林大学计算数学系雷娜教授
《借助构造性代数几何研究多元有理插值的理论与算法》,
国家自然科学基金青年科学基金项目,2007.01~2009.12,项目负责人
《CAGD中若干基本问题的代数几何理论与可行算法》,国家自然科学基金
面上项目,2004.7~2007.7,主要参加人
《曲面拼接与曲面造型的代数几何理论及有效算法》,吉林大学青年教师基金, 2002.11~2004.11,项目负责人
《多个隐式代数曲面拼接的算法与软件》, 吉林大学博士科研启动基金,2002.9~2006.9,项目负责人
《隐式代数曲面自动拼接平台》,国家‘973’计划数学机械化推广专项基金,2001.4~2003.12,主要承担人
《指纹识别算法研究与开发》,吉林大学数学研究所与鸿达高技术股份有限公司合作项目,1999.4~2005.4,负责民用指纹匹配算法设计
论文列表:
Wu Tieru,Lei Na, Cheng Jinsan, Wu Wen-tsun Formulae for the Blending of Pipe Surfaces, Northeast.Math.J.17(4), 383-386, 2001.
雷娜,崔丽,
伍铁如,两个轴异面的管道拼接,吉林大学学报(理学版),40(2),138-140,2002。
Lei Na,Wu Tieru,Feng Guochen,Wu Wen-tsun Formulae for the Blending of Quadratic Surfaces, Proceedings of the First International Congress of Mathematical Software 2002 (Beijing, China). In: Mathematical software, Arjeh M. Cohen, Xiao-Shan Gao and Nobuki Takavama(eds), 372―378, World Sci. Publishing, London,2002.
厉玉蓉, 雷娜,
张树功,用最低次曲面光滑拼接多个
二次曲面的判别条件,吉林大学学报(理学版),41(2),157-158,2003。
Zhang Shugong, Li Yurong, Lei Na, Existence Criteria of Blending Surfaces of Three Quadric Surfaces-Wu Wen-tsun’s Formulae, Northeast. Math. J. 19(3), 201-204, 2003.
刘停战,雷娜,陈少田,Cauchy型多元有理插值,吉林大学学报(理学版),42(3),356-358, (2004)。
Li Yurong,Lei Na, Zhang Shugong,Feng Guochen,Constructive Theory and Algorithm for Blending Several Implicit Algebraic Surfaces,In:Computer Algebra and Geometric Algebra with Application, H. Li, P. Olver and G. Sommer (eds), Springer, Berlin, 2005. Lecture Notes in Computer Science,Volume 31 of 2065, 83-96. (SCI)
Lei Na, Zhang Shugong, Feng Guochen, On osculatory rational interpolation, International Symposium on Computing & It’s Applications in Information Science (Hefei, China). In: Advances in Information & Computational Science, Renghong Wang, Jieqing Tan (eds), Press of University of Science and Technology of China, 2005, 88-93.
Dong Tian, Zhang Shugong, Lei Na, Interpolation basis for nonuniform Rectangular grid, Journal of Information and Computational Science, 2:4(2005), 671-680. (EI)
Lei Na, Zhang Shugong, Dong Tian, Feng Guochen, The existence and expression of osculatory rational interpolation, Journal of Information and Computational Science, 2:3(2005), 493-500. (EI)
Lei Na, Liu Tingzhan, Zhang Shugong, Some problems on multivariate rational interpolation, Journal of Information and Computational Science, accepted.
Lei Na, Zhang Shugong, Dong Tian, On multivariate osculatory rational interpolation, submitted.