バージョン (3.26 KB) 作成者: John D'Errico
Compute the arclength of a general curve in any number of dimensions
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更新 2012/2/1


編集メモ: 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.


John D'Errico (2024). arclength (, MATLAB Central File Exchange. 取得済み .

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