Due date: Wednesday, January 19.

Ex. 1 (15 points) Given the following table of correspondence between the RGB and HSV systems, write a pseudocode function to convert one of them into the other one (which ever you find simpler).
 

Color	Aspect	RGB	HSV
black		0, 0, 0	0, 0, 0
white		1, 1, 1	0, 0, 1
gray		0.3, 0.3, 0.3	0, 0, 0.3
red		1, 0, 0	0, 1, 1
yellow		1, 1, 0	60, 1, 1
green		0, 1, 0	120, 1, 1
cyan		0, 1, 1	180, 1, 1
blue		0, 0, 1	240, 1, 1
magenta		1, 0, 1	300, 1, 1
light blue		0.6, 0.6, 1	240, 0.4, 1
light orange		0.9, 0.5, 0.3	20, 0.67, 0.9

Hint:
0.67 = 1 - (0.3 / 0.9)
20 = 0 + (0.5 - 0.3) * 60 / (0.9 - 0.3)

Ex. 2 (5 points) In this exercise you will experiment with image representation and color

• Retrieve an image from any source (web, scanner)
• Open the image with the Gimp program under Linux and turn its color mode into RGB (true color) with right click -> Image menu ->Mode. Save the file as a bitmap or TIFF file. Modify the colors using the HSV mode (right click -> Image menu ->Colors -> Hue-Saturation). You can find the Gimp either from the Gnome menu under Graphics or something similar, or by typing the command gimp.
• Set the color mode of the image as indexed (256 colors). Experiment with the color maps available under the Gimp. Note that for better results, you should undo each color mode transformation from RGB to indexed before applying another color map. Save the results you like as gif files.
• Open the original image again and save it as a JPEG file.
• Compare the sizes of all of these files.