Homework Assignment #3 EECS 487 Winter 2004
Due: Monday, March 15th 2004 (in class)

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)      F ® F [+F] [-F] F

 

Where:

             The Axiom is ++F

             The angle is 45°, or p/4 radians, or in turtle graphics language 8.

 

      Do 3 iterations of F.

 

a)      Write the resulting string.

 

b)      Draw corresponding picture.