arclength

Compute the arclength of a general curve in any number of dimensions

Description

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.

Acknowledgements

This file inspired Export Figure To 3 D Interactive Pdf and Xy2sn.

• Required Products: MATLAB
• MATLAB release: MATLAB 7.12 (R2011a)
• Other requirements: Will work in older releases too, as far back as quadgk exists. Older releases could substitute a call to quad or quadl for quadgk.

[Narjes]

Hi:
I have a project for measuring Retinal vessel tortuosity and the length of them.
Can any body help me? thank you

[Charles Nelatury]

 

[William]

Excellent software. Works exactly as stated, and linear algorithm is alarmingly fast.

[Siva Srinivas Kolukula]

 

[Siva Srinivas Kolukula]

Thanks God.....I got it... at last..

[Mark Shore]

I must say it's strange to see a D'Errico contribution receive 2 stars.

So I'll repost my original rating (lost when John temporarily removed this contribution last year).

[Siva Srinivas Kolukula]

 

[Siva Srinivas Kolukula]