On geometric Hermite arcs

被引：0
作者：
Juhasz, Imre [1 ]
机构：
[1] Univ Miskolc, Dept Descript Geometry, Miskolc, Hungary
来源：
ANNALES MATHEMATICAE ET INFORMATICAE | 2015年 / 45卷
关键词：
Hermite arc; geometric constraint; pencil of conincs;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A geometric Hermite arc is a cubic curve in the plane that is specified by its endpoints along with unit tangent vectors and signed curvatures at them. This problem has already been solved by means of numerical procedures. Based on projective geometric considerations, we deduce the problem to finding the base points of a pencil of conics, that reduces the original quartic problem to a cubic one that easier can exactly be solved. A simple solvability criterion is also provided.
引用
收藏
页码：61 / 68
页数：8
相关论文
共 50 条
  • [31] Soccer Field Registration Based on Geometric Constraint and Deep Learning Method
    Li, Pengjie
    Li, Jianwei
    Zong, Shouxin
    Zhang, Kaiyu
    PATTERN RECOGNITION AND COMPUTER VISION, PRCV 2021, PT II, 2021, 13020 : 287 - 298
  • [32] Research on constrained localization of ultrasound geometric distribution based on FHN neurons
    Li, Weiwei
    Yuan, Sen
    Zhou, Xiaorong
    Qin, Long
    Xi, Yue
    SCIENCE PROGRESS, 2023, 106 (02)
  • [33] Point Cloud Registration Method Based on Geometric Constraint and Transformation Evaluation
    Kang, Chuanli
    Geng, Chongming
    Lin, Zitao
    Zhang, Sai
    Zhang, Siyao
    Wang, Shiwei
    SENSORS, 2024, 24 (06)
  • [34] A Novel Dimension Reduction algorithm for Fingerprint Positioning based on GrDOP and Geometric Constraints
    Liu, Wen
    Zheng, Xinyu
    Deng, Zhongliang
    Xu, Lianming
    PROCEEDINGS OF THE 31ST INTERNATIONAL TECHNICAL MEETING OF THE SATELLITE DIVISION OF THE INSTITUTE OF NAVIGATION (ION GNSS+ 2018), 2018, : 666 - 673
  • [35] Differential Game: ''Life Line'' for Non-Stationary Geometric Constraints On Controls
    Samatov, B. T.
    Horilov, M. A.
    Akbarov, A. Ah.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (01) : 237 - 248
  • [36] Inverse kinematics of a reclaimer: Closed-form solution by exploiting geometric constraints
    Hong, KS
    Kim, YM
    Choi, C
    KSME INTERNATIONAL JOURNAL, 1997, 11 (06): : 629 - 638
  • [37] Effect of geometric constraint on fracture toughness of PVC foam core sandwich beams
    Shivakumar, K
    Chen, HC
    Bhargava, A
    SANDWICH STRUCTURES7: ADVANCING WITH SANDWICH STRUCTURES AND MATERIALS, 2005, : 131 - 142
  • [38] Inverse kinematics of a reclaimer: Closed-form solution by exploiting geometric constraints
    Keum-Shik Hong
    Young-Min Kim
    Chintai Choi
    KSME International Journal, 1997, 11 : 629 - 638
  • [39] Geometric constraint annealing leading to β-phase enhancement of electrospun poly(vinylidene fluoride)
    Wu Zhou
    Xuzhou Jiang
    Peng Wang
    Hongtao Wang
    Fibers and Polymers, 2013, 14 : 100 - 104
  • [40] Reliable image matching via photometric and geometric constraints structured by Delaunay triangulation
    Jiang, San
    Jiang, Wanshou
    ISPRS JOURNAL OF PHOTOGRAMMETRY AND REMOTE SENSING, 2019, 153 : 1 - 20
12345