To be handed in at the beginning of class on
Wednesday, October 5, 2005
1)
Draw
the left-handed coordinate system KLM having axes K, L, and M.
Add notation to indicate the direction of positive rotation around each axis.
2)
Answer the following questions given the following:
a) Use a graph of the YZ plane to
determine the Z location of the point on the front CAVE wall for each eye
b) Use a graph of the XY plane to
determine the X location of the point on the front CAVE wall for each eye
c) Use a graph of the XZ plane to draw the
point as it is rendered on the front CAVE wall for each eye
3)
Given
a texture of size X=100 by Y=200 and a polygon with the four texture
coordinates
(u1,v1)
(u2,v2)
(u3,v3)
(u4,v4)
in
counter-clockwise order
a) Assign texture coordinates such that
the right half of the texture (X>50) covers the polygon
b) What coordinates bound the area of the texture
displayed given texture coordinates:
(0,0)
(0.25,0)
(0.5,0.75)
(0.25,0.75)
c) Assign texture coordinates such that
the texture is repeated a total of two times in the Y direction