Matching scaled binary mask to noisy image of 2d object

Hello, So I have a matrix 'A' 300x500 which contains binary image of some object( background 0 , object 1), and noisy image 'B' with depicted the same object. I want to match binary mask 'A 'to the image 'B'. Object on the mask has exactly the same shape as object on the noisy image. The problem is that images have different sizes (both of their planes and the objects depicted on them ). Moreover the object on mask is located in the middle of the plane, contrary on the image 'B' is translated. Does anybody now the simplest solution how can I match these images?

Answer 1

[Image Analyst]

Perhaps use Hu's image moments? See this video by the University of Arizona: http://www.youtube.com/watch?v=Nc06tlZAv_Q