Libary for generate image shape descriptor

I'm writing a code for pattern extraction using optimum paths tree (thesis link in portuguese: http://ift.tt/2j2pcWi). However, my problem is at implementing a shape descriptor for the image dataset. The thesis above takes a set of image as a vector of attributes, so, I have to "translate" the images in a vectors using some shape descriptor techinic. On the thesis, the author uses various shape descriptor methods to do the experimets, as Fourier Coefficients, Moment Invariants and Multiscale Fractal Dimensions. So I want to use some of these to replicate the experiments and compare my results with the thesis, to confirm that my code is running very well.

To do that, I want some library in any language to convert the images in any shape descriptor mentioned above (in R, C, Python...). Someone knows some code to do that? I have the paper of all shape descriptor, but my intention is focus only in the pattern extract.

Thanks!