**COM1370 Computer Graphics --
Quiz 2 -- Thursday, July 12**^{th}

#### Summer 2001 -- Professor Futrelle

College of Computer Science, Northeastern U., Boston, MA

PRINT your name clearly ________________________________________________ Your ID no. ________________

**Question 1.**

Assume that a CLUT has a three-bit RGB color index and produces a 24-bit (3 byte)
color output. Write out a CLUT that transforms the input colors into approximately
correct grey levels. Some of the following decimal-binary pairs might help you
and you can interpolate your own to get values that are a bit more appropriate:

0: 00000000
8: 00001000
16: 00010000
32: 00100000
64: 01000000
128: 10000000
255: 11111111

That is, you should write each entry of the CLUT table as a 24 bit value
made up of three bytes.

**Question 2.**

Compute the square of the following transformation matrix where A = sqrt(2)/ 2.
Apply the original matrix to the point 1,0 and also apply the
product matrix to the point 1,0.
Discuss your result -- what is going on? What type of transformations are these?
Hint: "square" simply means multiplying the matrix by (a copy of) itself.

_ _
| |
| A - A |
| |
| |
| A A |
| |
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ANSWERS HERE AND ON THE REVERSE SIDE: