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2. [16 pt] Give a set of gray-level slicing transformations capable of producing all the individual bit planes of an 8-bit monochrome image. For example, a transformation function with the property 0 0 < r ≤ 127 T(r) = { 255 128 ≤r ≤ 255 produces an image of bit-plane 7 (most significant bit) in an 8-bit image.