How to find Minimum Circumscribed Rectangle for an image?

I have extracted Salient object from natural image along with few minor background details in different color channels (e.g. L,a,b- R,G,B, Y,Cb,Cr) . Now i need minimum circumscribed rectangle to choose it. If any other good suggestion except current approach, to select object, it will be appreciated.

Thanks.

Answer 1

[Image Analyst]

It's not easy but luckily John has done the work for you: http://www.mathworks.com/matlabcentral/fileexchange/34767-a-suite-of-minimal-bounding-objects