Visualizing 3D Euler Spirals

被引:2
|
作者
Harary, Gur [1 ]
Tal, Ayellet [1 ]
机构
[1] Technion Israel Inst Technol, Dept Elect Engn, IL-32000 Haifa, Israel
关键词
Euler spirals; 3D curves;
D O I
10.1145/1810959.1810977
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This video describes a new type of 3D curves, which generalizes the family of 2D Euler spirals. They are defined as the curves having both their curvature and their torsion evolve linearly along the curve. The utility of these spirals for curve completion applications is demonstrated. This video accompanies the paper presented in [4].
引用
收藏
页码:107 / 108
页数:2
相关论文
共 50 条
  • [31] Formation of Points Shocks for 3D Euler
    Buckmaster, Tristan
    Shkoller, Steve
    Vicol, Vlad
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2023, 76 (09) : 2073 - 2191
  • [32] Blowup for the 3D compressible Euler equations
    Zhu, Xusheng
    Tu, Aihua
    Fu, Chunyan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 133 : 51 - 60
  • [33] KAM theory and the 3D Euler equation
    Khesin, Boris
    Kuksin, Sergei
    Peralta-Salas, Daniel
    ADVANCES IN MATHEMATICS, 2014, 267 : 498 - 522
  • [34] HOMOGENEOUS SOLUTIONS TO THE 3D EULER SYSTEM
    Shvydkoy, Roman
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (04) : 2517 - 2535
  • [35] Controllability of the 3D Compressible Euler System
    Nersisyan, Hayk
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (09) : 1544 - 1564
  • [36] Axisymmetric solutions to the 3D Euler equations
    Shen Gang
    Zhu Xiangrong
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (09) : 1938 - 1948
  • [37] LEARNING IN 3D VIRTUAL ENVIRONMENTS: COLLABORATION AND KNOWLEDGE SPIRALS
    Burton, Brian G.
    Martin, Barbara N.
    JOURNAL OF EDUCATIONAL COMPUTING RESEARCH, 2010, 43 (02) : 259 - 273
  • [38] EULER-LAGRANGIAN APPROACH TO 3D STOCHASTIC EULER EQUATIONS
    Flandoli, Franco
    Luo, Dejun
    JOURNAL OF GEOMETRIC MECHANICS, 2019, 11 (02): : 153 - 165
  • [39] iCAVE: an open source tool for visualizing biomolecular networks in 3D, stereoscopic 3D and immersive 3D
    Liluashvili, Vaja
    Kalayci, Selim
    Fluder, Eugene
    Wilson, Manda
    Gabow, Aaron
    Gumus, Zeynep H.
    GIGASCIENCE, 2017, 6 (08): : 1 - 13
  • [40] On some approximation of the 3D Euler system
    Dinaburg, EI
    Sinai, YG
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2004, 24 : 1443 - 1450