image thumbnail

arclength

version 1.0.0.0 (3.26 KB) by John D'Errico
Compute the arclength of a general curve in any number of dimensions

6.3K Downloads

Updated 01 Feb 2012

View License

Editor's Note: This file was selected as MATLAB Central Pick of the Week

The arclength function computes the length of a general space curve. This is not too difficult if the curve is assumed to be piecewise linear (a one liner) but if the curve is to be a smoothly interpolated spline, then the problem becomes more difficult.

A nice way to solve this problem for the cubic case is to formulate it as a numerical integration, whereupon the solution can be gained from quadgk. Carefully written code breaks the problem into a series of integrals between each pair of breaks on the curve to avoid the derivative singularities one would find otherwise.

Cite As

John D'Errico (2021). arclength (https://www.mathworks.com/matlabcentral/fileexchange/34871-arclength), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2011a
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!