Curvature-Torsion Defined Curve

Given torsion and curvature functions, compute the curve uniquely.
2.4K Downloads
Updated 1 Sep 2016

View License

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.

Cite As

Paolo Panarese (2024). Curvature-Torsion Defined Curve (https://www.mathworks.com/matlabcentral/fileexchange/7259-curvature-torsion-defined-curve), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14SP1
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Numerical Integration and Differential Equations in Help Center and MATLAB Answers

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.0.1

Updated license

1.0.0.0