I have the following problem: Given a set of points S in the plane and a known polygon P, find the optimal translation (Δx,Δy) and rotation φ such that P translated and rotated by this transform contains the maximal number of s ⋲ S.
I have found one paper so far that seems to document two such algorithms.
But I would like to know if there are any others and/or known implementations of such algorithms.
Additionally, I could further constrain this question to rectangles of known size, would this make it easier somehow?