A camera has grabbed an intensity image containing pixel values as displayed on the right side. The pixels with (relativ) high intensity belong to an one object, the background is of low intensity. The pixel in the left upper corner has the index (u=0,v=0). c) Calculate in detail the (x,y) position of the object in the object plane (real world). The distance to the object is 4m. The camera has a focal length of 4mm, the pixel height as well the width is 4m. d) How does an erosion and how an dilatation filter work? What is the purpose of applying each of the filters? What is the purpose of combining both filters? To which type of filters do they belong to? e) After binarization an 33 erosion filter is applied. Name the indices of the forground pixel(s) in the erosion image. Alternatively you can draw the erosion image. Justify your result