Homework Assignment #3 EECS 487 Fall 2003
Due: November 24^th 2003

Problem #1. Given a color defined in HSV as 120° , 0.5, 1.0

1. Show the position of this color on a CIE diagram
2. What is the B/W value of this color using the YIQ
3. What is the dominant Frequency

Problem #2. Given the incoming Ray I <0.5,-0.866025,0>and the normal N <0,1,0> at the ray surface intersection;

A. What is the angle of reflection with respect to I and N.

B. Draw a Diagram and label all vectors and angles.

C. Find the reflected ray R

Problem #3. Consider the following L-system:

1) A ® S[A](A)

2) A ® S

Where:

an S corresponds to a line segment from (0,0) to (0,1).

an S in [ ]’s corresponds to a line segment from (0,½) to (-½,1) relative to the preceding S

an S in ( )’s corresponds to a line segment from (0,½) to (½,1) relative to the preceding S

Start with the string “A” and apply rule 1 twice, then rule 2.

a) write the resulting string

b) draw corresponding picture