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measure box (width,height,depth) with depth camera

Hi

im using kinect to try to measure a box, im placing the kinect on top looking to the floor, using emgu (wich is a opencv) wraper i managed to get the countour of object and also the highest point (wich gives me the height)

but i cant figure how to differentiate a side surface from the top like you see in the image when i merge all the depth image as a 2d image and then run blob detector i get a square of the detected objects but inside this square is the top surface and the sides of the box wich wont let me know the exact width and depth

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