Fairing of planar curves to log-aesthetic curves

被引：1
|
作者：
Zurita, Sebastian Elias Graiff [1 ]
Kajiwara, Kenji [1 ]
Miura, Kenjiro T. [2 ]
机构：
[1] Kyushu Univ, Inst Math Ind, 744 Motooka, Fukuoka 8190395, Japan
[2] Shizuoka Univ, Grad Sch Sci & Technol, 3-5-1 Johoku, Hamamatsu, Shizuoka 4328561, Japan
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2023年 / 40卷 / 02期
关键词：
Industrial design; Fairing; Planar curves; Log-aesthetic curves;
D O I：
10.1007/s13160-023-00567-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present an algorithm to fair a given planar curve by a log-aesthetic curve (LAC). We show how a general LAC segment can be uniquely characterized by seven parameters and present a method of parametric approximation based on this fact. This work aims to provide tools to be used in reverse engineering for computer-aided geometric design. Finally, we show an example of usage by applying this algorithm to the data points obtained from 3D scanning a model-car roof.
引用
收藏
页码：1203 / 1219
页数：17
相关论文
共 50 条
  • [1] Fairing of planar curves to log-aesthetic curves
    Sebastián Elías Graiff Zurita
    Kenji Kajiwara
    Kenjiro T. Miura
    [J]. Japan Journal of Industrial and Applied Mathematics, 2023, 40 : 1203 - 1219
  • [2] ON A CLASS OF POLAR LOG-AESTHETIC CURVES
    Parque, Victor
    [J]. PROCEEDINGS OF ASME 2021 INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, IDETC-CIE2021, VOL 3B, 2021,
  • [3] The Offsets of Generalized Log-Aesthetic Curves
    Karpagavalli, R.
    Gobithaasan, R. U.
    Miura, Kenjiro T.
    [J]. PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [4] Log-Aesthetic Curves and Similarity Geometry
    Miura, Kenjiro T.
    Gobithaasan, R. U.
    [J]. INTERNATIONAL JOURNAL OF AUTOMATION TECHNOLOGY, 2024, 18 (05) : 591 - 602
  • [5] Log-Aesthetic Curves for Shape Completion Problem
    Gobithaasan, R. U.
    Wei, Yip Siew
    Miura, Kenjiro T.
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [6] a-Curves: Extended log-aesthetic curves with variable shape parameterq
    Tsuchie, Shoichi
    Yoshida, Norimasa
    [J]. COMPUTERS & GRAPHICS-UK, 2024, 118 : 60 - 70
  • [7] Mathematical generalization of log-aesthetic curves and aesthetic curves hierarchy via similarity geometry
    Sato, Masayuki
    Shimizu, Yasuhiro
    [J]. Seimitsu Kogaku Kaishi/Journal of the Japan Society for Precision Engineering, 2020, 86 (07): : 572 - 576
  • [8] The approximation of generalized Log-aesthetic curves using Quintic Bezier curves
    Albayari, Diya' J.
    Gobithaasan, R. U.
    Miura, Kenjiro T.
    [J]. 1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017), 2017, 890
  • [9] Reformulation of Generalized Log-aesthetic Curves with Bernoulli equations
    [J]. Miura, Kenjiro T. (tmkmiur@ipc.shizuoka.ac.jp), 1600, Bellwether Publishing, Ltd. (13)
  • [10] Generalization of log-aesthetic curves via similarity geometry
    Inoguchi, Jun-ichi
    Ziatdinov, Rushan
    Miura, Kenjiro T.
    [J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2019, 36 (01) : 239 - 259
12345