[1]慕生鹏,李红军,李世林.三维离散曲线曲率挠率的微中心差分算法[J].智能系统学报,2019,14(1):194-206.[doi:10.11992/tis.201802008]
 MU Shengpeng,LI Hongjun,LI Shilin.An algorithm for estimating curvature and torsion of discrete curve in three-dimensional space based on microcentral difference[J].CAAI Transactions on Intelligent Systems,2019,14(1):194-206.[doi:10.11992/tis.201802008]
点击复制

三维离散曲线曲率挠率的微中心差分算法

参考文献/References:
[1] 李杰, 彭双春, 安宏雷, 等. 基于微分几何与李群的无人机编队会合方法[J]. 国防科技大学学报, 2013, 35(6):157-164 LI Jie, PENG Shuangchun, AN Honglei, et al. UAVs formation rendezvous method based on differential geometry and Lie group[J]. Journal of national university of defense technology, 2013, 35(6):157-164
[2] 单洪春. 基于空间特性的弹道特征抽取[J]. 飞行器测控学报, 2012, 31(2):69-72 SHAN Hongchun. Trajectory characteristics extraction based on space property[J]. Journal of spacecraft TT&C technology, 2012, 31(2):69-72
[3] 葛婷, 符锌砂, 李海峰, 等. 公路三维线形设计及约束建模[J]. 华南理工大学学报(自然科学版), 2016, 44(8):91-97, 105 GE Ting, FU Xinsha, LI Haifeng, et al. Three-dimensional highway alignment design and constraints modeling[J]. Journal of South China university of technology (natural science edition), 2016, 44(8):91-97, 105
[4] 潘登, 郑应平. 路径约束条件下车辆行为的时空演化模型[J]. 物理学报, 2015, 64(7):078902 PAN Deng, ZHENG Yingping. Spatiotemporal evolution model of vehicular movement behavior under path constraints[J]. Acta physica sinica, 2015, 64(7):078902
[5] PATRIKALAKIS N M, MAEKAWA T. Shape interrogation for computer aided design and manufacturing[M]. Berlin, Heidelberg:Springer, 2002.
[6] MOKHTARIAN F, MACKWORTH A K. A theory of multiscale, curvature-based shape representation for planar curves[J]. IEEE transactions on pattern analysis and machine intelligence, 1992, 14(8):789-805.
[7] 袁修久, 王胜勇, 刘欣, 等. 推广的三维L-系统及在树木模拟中的应用[J]. 系统仿真学报, 2011, 23(11):2308-2311 YUAN Xiujiu, WANG Shengyong, LIU Xin, et al. Improvement of three-dimensional L-system and its application to trees modeling[J]. Journal of system simulation, 2011, 23(11):2308-2311
[8] 张冠军, 朱翔, 李天匀. 基于级数变换法的椭圆柱壳受迫振动分析[J]. 哈尔滨工程大学学报, 2017, 38(4):506-513 ZHANG Guanjun, ZHU Xiang, LI Tianyun. Forced vibration analysis of elliptic cylindrical shell based on the series transformation method[J]. Journal of Harbin engineering university, 2017, 38(4):506-513
[9] 孟道骥, 梁科. 微分几何[M]. 2版. 北京:科学出版社, 2004:6-28. MENG Daoji, LIANG Ke. Differential geometry[M]. 2nd ed. Beijing:Science Press, 2004:6-28.
[10] DO CARMO M P. Differential geometry of curves and surfaces[M]. Englewood Cliffs, New Jersey:Prentice Hall, 1976:175-178.
[11] BRAY H L, JAUREGUI J L. On curves with nonnegative torsion[J]. Archiv der mathematik, 2015, 104(6):561-575.
[12] LIU Huili. Curves in three dimensional riemannian space forms[J]. Results in mathematics, 2014, 66(3/4):469-480.
[13] MASSER D, ZANNIER U. Torsion points on families of products of elliptic curves[J]. Advances in mathematics, 2014, 259:116-133.
[14] 郑长波, 刘会立. 三维欧氏空间中的几类特殊球面曲线[J]. 浙江大学学报(理学版), 2013, 40(2):127-130 ZHENG Changbo, LIU Huili. Some special spherical curves in Euclidean 3-space[J]. Journal of Zhejiang university (science edition), 2013, 40(2):127-130
[15] 袁媛, 李静, 刘会立. 三维欧氏空间中的特殊曲线[J]. 东北大学学报(自然科学版), 2017, 38(11):1669-1672 YUAN Yuan, LI Jing, LIU Huili. Special curves in 3-dimensional euclidean space[J]. Journal of Northeastern university (natural science), 2017, 38(11):1669-1672
[16] CAZALS F, POUGET M. Estimating differential quantities using polynomial fitting of osculating jets[J]. Computer aided geometric design, 2005, 22(2):121-146.
[17] 赵夫群, 周明全. 一种有效的秦俑碎块匹配算法[J]. 计算机系统应用, 2017, 26(3):198-203 ZHAO Fuqun, ZHOU Mingquan. Effective blocks matching algorithm of terracotta warrior[J]. Computer systems and applications, 2017, 26(3):198-203
[18] 喻德生, 程程. 基于离散曲率的三次均匀B样条的局部光顺算法[J]. 浙江大学学报(理学版), 2011, 38(5):511-517 YU Desheng, CHENG Cheng. On local fairing algorithm for cubic B-spline with discrete curvature[J]. Journal of Zhejiang university (science edition), 2011, 38(5):511-517
[19] KEHTARNAVAZ N, DEFIGUEIREDO R J P. A 3-D contour segmentation scheme based on curvature and torsion[J]. IEEE transactions on pattern analysis and machine intelligence, 1988, 10(5):707-713.
[20] MARDIA K V. Estimation of torsion[J]. Journal of applied statistics, 1999, 26(3):373-381.
[21] BLANKENBURG C, DAUL C, OHSER J. Parameter free torsion estimation of curves in 3D images[C]//2016 IEEE International Conference on Image Processing. Phoenix, AZ, USA, 2016:1081-1085.
[22] AN Yi, SHAO Cheng, WANG Xiaoliang, et al. Geometric properties estimation from discrete curves using discrete derivatives[J]. Computers & graphics, 2011, 35(4):916-930.
[23] 陈维桓. 微分几何[M]. 北京:北京大学出版社, 2006:23-47.
[24] MA Weiyin, KRUTH J P. Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces[J]. Computer-aided design, 1995, 27(9):663-675.
[25] 周志华. 机器学习[M]. 北京:清华大学出版社, 2016:28?37.
[26] 刘伟, 王雅静, 陈文钢, 等. 动态光散射反演算法的评价指标[J]. 光学学报, 2015, 35(S1):129001 LIU Wei, WANG Yajing, CHEN Wengang, et al. Evaluation criteria of inversion algorithm for dynamic light scattering[J]. Acta optica sinica, 2015, 35(S1):129001

备注/Memo

收稿日期:2018-02-05。
基金项目:国家自然科学基金项目(61372190);中央高校基本科研业务费专项资金项目(2015ZCQ-LY-01).
作者简介:慕生鹏,男,1992年生,硕士研究生,中国计算机学会会员,主要研究方向为计算几何。参加国家自然科学基金1项,计算机软件著作权登记2项;李红军,男,1969年生,副教授,博士,北京数学会理事,中国计算机学会会员,主要研究方向为计算几何、计算机图形学、图像处理和植物建模。主持国家自然科学基金面上项目1项、参加2项。获中国发明专利授权9项,计算机软件著作权登记11项。发表学术论文40余篇,被SCI、EI检索20余篇;李世林,男,1992年生,硕士研究生,中国计算机学会会员,主要研究方向为计算几何。参加国家自然科学基金项目1项,计算机软件著作权登记4项。发表学术论文1篇。
通讯作者:李红军.E-mail:lihongjun69@bjfu.edu.cn

更新日期/Last Update: 1900-01-01
Copyright © 《 智能系统学报》 编辑部
地址:(150001)黑龙江省哈尔滨市南岗区南通大街145-1号楼 电话:0451- 82534001、82518134 邮箱:tis@vip.sina.com