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陆利正博士 教授 | 硕士生导师 |
学科: 职务: 研究中心: 导师类别: 硕士生导师 毕业院校: 浙江大学 办公电话: 地址: 邮编: 邮箱: lulz99@163.com |
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陆利正博士 教授 | 硕士生导师 |
学科: 职务: 研究中心: 导师类别: 硕士生导师 毕业院校: 浙江大学 办公电话: 地址: 邮编: 邮箱: lulz99@163.com |
数据处理与分析,计算机辅助设计,计算机图形学
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
MATLAB,计算机辅助几何设计
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
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.
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
保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
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