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陆利正

博士 教授 | 硕士生导师

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导师类别: 硕士生导师

毕业院校: 浙江大学

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邮箱: lulz99@163.com

个人简介

研究方向

数据处理与分析,计算机辅助设计,计算机图形学


社会服务领域

教育经历

  • 博士, 2003.9-2008.6, 浙江大学, 应用数学

  • 本科, 1999.9-2003.7, 浙江大学, 数学与应用数学

工作经历

2008.6-至今,浙江工商大学统计与数学学院


学术兼职

荣誉及奖励

研究生课程

MATLAB,计算机辅助几何设计


本科生课程

  • Java程序设计, 数据库原理及其应用, 算法分析与软件设计,

  • 数学软件与数学实验, 

  • 微积分, 高等数学, 线性代数

发表论文

  • Lizheng Lu, Lin Li. On the linear independence of the derivatives of Bernstein polynomials. Journal of Computational and Applied Mathematics, 2022, 408: 114102.

  • Lizheng Lu, Shiqing Zhao. High-quality point sampling for B-spline fitting of parametric curves with feature recognition. Journal of Computational and Applied Mathematics, 2019, 345: 286-294.

  • Lizheng Lu, Shiqing Zhao, Qianqian Hu. Improvement on constrained multi-degree reduction of B\'{e}zier surfaces using Jacobi polynomials. Computer Aided Geometric Design, 2018, 61: 20-26.

  • Lizheng Lu, Chengkai Jiang, Qianqian Hu. Planar cubic $G^1$ and quintic $G^2$ Hermite interpolations via curvature variation minimization. Computers & Graphics, 2018, 70: 92-98.

  • Lizheng Lu, Xueyan Xiang. Note on multi-degree reduction of B\'{e}zier curves via modified Jacobi-Bernstein basis transformation. Journal of Computational and Applied Mathematics, 2017, 315: 65-69.

  • Lizheng Lu, Chengkai Jiang, Xueyan Xiang. Some remarks on weighted Lupa\c{s} $q$-B\'{e}zier curves. Journal of Computational and Applied Mathematics, 2017, 313: 393-396.

  • Lizheng Lu, Xueyan Xiang. Quintic polynomial approximation of log-aesthetic curves by curvature deviation. Journal of Computational and Applied Mathematics, 2016, 296: 389-396.

  • Lizheng Lu, Chengkai Jiang. An iterative algorithm for $G^2$ multiwise merging of B\'{e}zier curves. Journal of Computational and Applied Mathematics, 2016, 296: 352-361.

  • Lizheng Lu. Some improvements on optimal multi-degree reduction of B\'{e}zier curves with geometric constraints. Computer-Aided Design, 2015, 59: 39-42.

  • Lizheng Lu. A note on curvature variation minimizing cubic Hermite interpolants. Applied Mathematics and Computation, 2015, 259: 596-599.

  • Lizheng Lu. Gram matrix of Bernstein basis: Properties and applications. Journal of Computational and Applied Mathematics, 2015, 280: 37-41.

  • Lizheng Lu. Planar quintic $G^2$ Hermite interpolation with minimum strain energy. Journal of Computational and Applied Mathematics, 2015, 274: 109-117.

  • Lizheng Lu. Explicit algorithms for multiwise merging of B\'{e}zier curves. Journal of Computational and Applied Mathematics, 2015, 278: 138-148.

  • Lizheng Lu. An explicit method for $G^3$ merging of two B\'{e}zier curves. Journal of Computational and Applied Mathematics, 2014, 260: 421-433.

  • Lizheng Lu. Explicit $G^2$-constrained degree reduction of B\'{e}zier curves by quadratic optimization. Journal of Computational and Applied Mathematics, 2013, 253: 80-88.

  • Lizheng Lu. A note on quintic polynomial approximation of generalized Cornu spiral segments. Journal of Computational and Applied Mathematics, 2013, 253: 123-130.

  • Lizheng Lu. On polynomial approximation of circular arcs and helices. Computers and Mathematics with Applications, 2012, 63(7): 1192-1196.

  • Lizheng Lu. A note on iterative process for $G^2$-multi degree reduction of B\'{e}zier curves. Applied Mathematics and Computation, 2012, 218(12): 6987-6990.

  • Lizheng Lu. Sample-based polynomial approximation of rational B\'{e}zier curves. Journal of Computational and Applied Mathematics, 2011, 235(6): 1557-1563.

  • Lizheng Lu. Weighted progressive iteration approximation and convergence analysis. Computer Aided Geometric Design, 2010, 27(2): 129-137.

纵向科研

  • 保几何特征的渐近迭代逼近造型方法及其应用,2013-2016,陆利正,国家自然科学基金委,统计与数学学院,76万,国家自然科学基金委

  • 几何特征的逼近造型方法及其应用,2011-2011,陆利正,国家自然科学基金委,统计与数学学院,7万,国家自然科学基金委

  • 自由曲面基于平均曲率流的构造与形变方法,2021-2023,陆利正,浙江省自然科学基金委,统计与数学学院,数学,10万,浙江省自然科学基金委

  • 几何驱动的N边混合曲面的构造与等几何分析方法,2017-2019,陆利正,浙江省自然科学基金委,统计与数学学院,10万,浙江省自然科学基金委

  • 计算几何中点云的B样条逼近和变形方法研究,2011-2012,陆利正,浙江省自然科学基金委,统计与数学学院,8万,浙江省自然科学基金委

横向科研

出版专著

陆利正. 三维曲线数据的特征识别与形状重构. 浙江工商大学出版社, 2022.


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