CS3500 Computer Graphics
			 Homework Assignment 10

		          Due: April 28, 2009

1. A light source is at (0, 10, 0) and has a colour of (0.2, 0.8, 0.2)
     in RGB. Ambient colour of (0.3, 0.3, 0.3) is present everywhere.
     An object with diffuse colour (0.8, 0.2, 0.2) is being viewed from
     (10, 10, 10). The material has the following properties: k_a = 0.9,
     k_d = 0.7, k_s = 0.3.  The shininess (exponent) factor for specular
     reflection is 3.  Compute the individual and total colour at the
     following object surface points due to ambient, specular, and
     diffuse reflection. 

   (i)  What are the normalized N, L, V, R, and H vectors at a surface
        point (10, 0, 10) with normal (0, 1, 0). What are the individual
        and total colour at this point due to ambient, diffuse and
        specular reflections?
   (ii) Repeat the above for a surface point (0, 0, 0) with normal
	(0.325, 0.888, 0.325)


2. A model consists of 200 points, 300 edges, and 400 triangles.  Points
   are represented using floating point coordinates, edges as (V1, V2,
   P1, P2) using indexes into points and the polygons that the edge is
   associated with, and triangles using the edges that make it up. (As
   discussed in the class). Compute the total number of bytes needed to
   represent the model using
   (i)   Explicit representation
   (ii)  Vertex list representation
   (iii) Vertex and edge list representation.

3. A Bezier curve is defined by P1 = (1, 2, 3), P2 = (1, 3, 5),
   P3 = (7, 4, 6), and P4 = (7, 1, 0). Compute the points
   corresponding to t = 0.2, t = 1/3, t = 0.5, t = 0.75, and t = 0.9.