version (1.97 KB) by Mehmet OZTURK
Construct tangent, normal and binormal vectors of a curve


Updated Wed, 10 Dec 2008 11:27:48 +0000

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Calculation of Tangent (T), Normal (N) and Binormal (B) of a continuous curve at every points of the curve.

function [T N B]=myfrenet(x,y,z,init)
% "x","y",and "z" is the coordinates of the curve. The curve also can be 2d.
% "init" is initial normal vector that user can be specified. With this input, you can freely initialize your vectors.

Although the name of the function is "myfrenet", the vectors are calculated in a different way from "frenet" equations because of some discontinuities of "frenet".

Derrivatives of the curve are calculated with spline fitting, therefore spline toolbox are required. If the toolbox are not available, users can change the derrivative calculation method such as by using "diff" or "gradient" command.

% Example
x=cos(t); y=sin(t); z=t;

Cite As

Mehmet OZTURK (2022). myfrenet (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2008a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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