curvspace

Generate evenly spaced points along an existing curve in 2D or 3D.

Description

CURVSPACE(P,N) generates N points that interpolates a curve (represented by a set of points) with an equal spacing. Each row of P defines a point, which means that P should be a n x 2 (2D) or a n x 3 (3D) matrix.

(Example)
x = -2*pi:0.5:2*pi;
y = 10*sin(x);
z = linspace(0,10,length(x));
N = 50;
p = [x',y',z'];
q = curvspace(p,N);

The above example creates 50 evenly spaced points along a sinusoidal curve.

• Acknowledgements: This submission has inspired the following:; Kirchhoff Vortex Contour Dynamics Simulation
• MATLAB release: MATLAB 5.3.1 (R11.1)

[meng mingyang]

useful program! It's exact what I want!
Thank you very much!

[meng mingyang]

It's not as my imagination,but it illumined me .Thank you!

[Valer Jurcak]

Works fine, thaks. Please make N input also as percentual legth.
if N < 1 % e.g. 0.1 make new point every 10% of totaldist.
    N = N * totaldist;
end

[Daniel Daniel]

Works Great! This is an incredibly useful tool. Unlike Matlab's interp functions the X-data does not have to be distint.

Thankyou for this handy function.

[Sven Mensing]

Thank you for your excellent function. If you replace the distance by

function l = distance(x,y)
l = sqrt(sum((x-y).^2,2));

and calculate the distance between the points as follows:

dist_bet_pts = distance ( p(1:(length(p)-1),:), p(2:length(p),:));

you can increase the speed of curvspace by 300%.

Thanks again

Sven Mensing

[Andrea Tagliasacchi]

thanks a lot, I didn't want to lose time re-implementing it!

[Erhong]

 

[TCH]

great job. I have implemented an equivalent function in the following link, :-.
http://www.mathworks.com/matlabcentral/fileexchange/34796-arbitrary-equal-division-function
purely could be a reference.