2nd August 1999

Due Monday, 9th August 1999

* READ SECTIONS 4.6, and 3.1 to 3.3

in Digital Image Processing by Gonzalez and Woods

*After receiving your email I will send you some images and a few example programs in C with instructions on how to use them. Play around with these to get used to manipulating images using computer programs.

* Solve the following problems:

1. The law of addition in color matching states that if colour [M] matches colour [N] and colour [P] matches colour [Q], then colour [M] mixed with colour [P] matches colour [N] mixed with colour [Q]. Devise and describe an additive colour matching experiment using one, two, or three primary matches to test the law of colour addition. Assuming that your experiment works, what property(ies) of the human visual system are revealed? Is this property(ies) consistent with what you know about the nature of the human visual system?

2. You are to design the colour (saturation) control on a colour television. Assume that you have a 24 bit RGB image. The position of the colour control knob on the television panel controls the saturation of the image. It's position corresponds to an integer number greater than zero that represents in percentage the amount of colour to be added back to the luminance or black and white image. Give a quantitative procedure for implementing this.

   (Hint: The RGB image is the full colour image, from it get the black and white image and add the colour to it corresponding to the saturation value given by the knob on the panel)

3. Prove that the magnitude of the determinant of a unitary transform is unity. Also show that all the eigenvalues of a unitary matrix have unity magnitude.

4. Problem 3.1 in the text.

5. Problem 3.3 in the text.

6. Problem 3.4 in the text.

7. Problem 3.8 in the text.

8. Problem 3.9 in the text.