Below you see one image with its corresponding histogram. Gray scales were normalized between 0 and 1. Look-up tables (LUTA- LUTC) give three different gray scale transformations that were used to transform the image and the resulting histograms are shown (1- III). Link each histogram (I-III) with the corresponding LUT (a-c). Justify your answers. Original image Original histogram 02 0.6 Histogram! Histogram II DE OA Histogram III 01 01 . GO LUT a LUT b 2 DO LUTC 1 ta 21 1 10 22