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Curvature of a 1D curve in a 2D or 3D space

version 1.2.8 (85.5 KB) by Are Mjaavatten
Calculates the local radius of curvature as well as the cumulative arc length and the curvature vector along a 1D curve in 2D or 3D space


Updated Wed, 10 Nov 2021 11:24:11 +0000

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Function circumcenter finds the radius R and the center of the circumscribed circle of a triangle in 3D space.
Function curvature calls circumcenter for every triplet , , of neighboring points along the curve. The curvature is defined as . The curvature vector is , where is the unit vector in the direction from to the center of the circle.
Note that this local calculation is sensitive to noise in the data.
The syntax is:
[L,R,K] = curvature(X)
X: array of column vectors for the curve coordinates. X may have two or three columns.
L: Arc length
R: Curvature radius
K: Curvature vector

Cite As

Are Mjaavatten (2022). Curvature of a 1D curve in a 2D or 3D space (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2014b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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