Curvature-Torsion Defined Curve
版本 1.0.0.1 (11.7 KB) 作者:
Paolo Panarese
Given torsion and curvature functions, compute the curve uniquely.
Given continuous curvature and torsion as functions of t, a unique 3D curve is identified by solving a system of 3 vector differential equations, known as Frenet's equations. Each equation refer to one the vector basis: tangent, normal and binormal vectors. Each equation can be split into 3 scalar equation whose unknowns are the coordinates of each vector.
The resulting system is linear with a 9x9 antisymmetric matrix. It is solved by means of ode45 solver.
引用格式
Paolo Panarese (2024). Curvature-Torsion Defined Curve (https://www.mathworks.com/matlabcentral/fileexchange/7259-curvature-torsion-defined-curve), MATLAB Central File Exchange. 检索来源 .
MATLAB 版本兼容性
创建方式
R14SP1
兼容任何版本
平台兼容性
Windows macOS Linux类别
在 Help Center 和 MATLAB Answers 中查找有关 Numerical Integration and Differential Equations 的更多信息
标签
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!