Parameterization

Good Morning All, I was wondering if there was a way to parameterize the boundary of a shape given x and y cartesian coordinates?

I was thinking of using the matlab interpft function to get x(t) and y(t) not just xt and yt so I can use it when finding the fourier transforms coefficients. Any suggestion are very much appreciated.

Thanks Mel

[Andrew Newell]

This is a duplicate of an earlier question (http://www.mathworks.com/matlabcentral/answers/11552-fourier-transform-of-2d).

Answer 1

[the cyclist]

You might be interested in the convhull() function.

Answer 2

[Sean de Wolski]

Maybe: FEX:vert2lcon_lcon2vert and the original vert2con and con2vert referenced in that link.

The shape must be convex.

[Melissa]

thank you, the shape is distorted representation of a circle so convex is applied. and this will give me an x(t) and y(t) to apply to my fourier transform?

Answer 3

[Image Analyst]

You can use bwboundaries. It gives you a parameterized boundary -- (x,y) location is parameterized as a function of array index.