How may I parametrise a polygon?

Hi all, I'm not asking for a code per se but I was just wondering if anyone here would be able to help with a problem I have.

Data: I have a set of co-ordinates, i.e. 10 sets of n (x,y) points, which form the outline of a closed polygon (not a curve).

What I want to do: Is there anyway I may write an equation / techniques such that by varying certain parameter(s), I may be able to obtain the outline of any shape.

In simple terms, if I have a 4-sided polygon, the parameters could be 1) the ratio of the two lengths of the diagonal and 2) the angle in between the diagonals. By varying these two parameters, I am able to obtain any 4-sided polygon, e.g. kites, squares, rectangles, etc.

Hence, for a more complicated problem such as the one I have described, is there anyway I can go about this?

Thank you for your time !

Answer 1

[Image Analyst]

poly2mask can turn any set of coordinates into a binary image. bwboundaries() can get you the list of (x,y) coordinates along every pixel in the image. bwperim() can get you a binary image with the edge pixels set to white and black everywhere else. regionprops() can get you a whole bunch of metrics about a polygon in a binary image.