File Exchange

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
4.7
(15)

3.9K Downloads

Updated10 Nov 2021

View Version History

View License

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(//www.tianjin-qmedu.com/matlabcentral/fileexchange/69452-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

Community Treasure Hunt

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

Start Hunting!