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

来源：

PROCEEDINGS OF THE TWENTY-SIXTH ANNUAL SYMPOSIUM ON COMPUTATIONAL GEOMETRY (SCG'10) | 2010年

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

页码：107 / 108

页数：2

共 4 条

[1] 3D Euler Spirals for 3D Curve Completion
Harary, Gur
Tat, Ayellet
PROCEEDINGS OF THE TWENTY-SIXTH ANNUAL SYMPOSIUM ON COMPUTATIONAL GEOMETRY (SCG'10), 2010, : 393 - 402
[2] 3D Euler spirals for 3D curve completion
Harary, Gur
Tal, Ayellet
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2012, 45 (03): : 115 - 126
[3] Interpolation of two-dimensional curves with Euler spirals
Connor, Dale
Krivodonova, Lilia
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 261 : 320 - 332
[4] Smooth 3D path planning for non-holonomic UAVs
Vanegas, Gloria
Samaniego, Franklin
Girbes, Vicent
Armesto, Leopoldo
Garcia-Nieto, Sergio
2018 7TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), 2018, : 1 - 6

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