Curvature-Torsion Defined Curve

Versione 1.0.0.1 (11,7 KB) da Paolo Panarese
Given torsion and curvature functions, compute the curve uniquely.
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Aggiornato 1 set 2016

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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.

Cita come

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

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demo_frenet/

Versione Pubblicato Note della release
1.0.0.1

Updated license
1.0.0.0