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crop patch around SIFT point

How to crop patch around SIFT(or other detector) point?

I want to crop image patch around detector point but I don't know how to determine size and scale (maybe orientation also matters?)

Is it makes sense or special point is only can be described by descriptor? I need this patches to visually inspect result of detections.

I want to get something like this http://www.vlfeat.org/demo/covdet_patches.jpg