# Curvature-Torsion Defined Curve 1.0

OS : Windows / Linux / Mac OS / BSD / Solaris

Script Licensing : Freeware

Created : Aug 21, 2007

Downloads : 9

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## Given continuous curvature and torsion as functions ...

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 vector. 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.

The resulting system is linear with a 9x9 antisymmetric matrix. It is solved by means of ode45 solver.

**• MATLAB Release: R14SP1**

**Demands:****Curvature-Torsion Defined Curve 1.0 scripting tags:**rsp, defined, curvature, equation, matlab mathematics, defined curve, curvature torsion, vector, equations, system.

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