CSE 167: Computer Graphics
Sample Midterm Questions
Fall, 2006
1. A 3D line segment from point a to point b intersects a plane described by a unit normal
n and point p, which is an arbitrary point somewhere on the plane. Find the point x where
the line intersects the plane.
2. An object is placed into the world with matrix W. The camera is placed in the world
with matrix C. Find the position of the camera in object space.
3. A triangle has points a, b, and c. Write an equation for the area of the triangle.
4. Match the term to the definition:
a. Bump mapping
b. Texture mapping
c. Environment mapping
d. Displacement mapping
____1. Mapping image colors
____2. Mapping normal perturbations
____3. Mapping geometric distortion
____4. Mapping reflection of a virtual sphere
5. Given matrices
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎣
⎡
=
333231
232221
131211
mmm
mmm
mmm
M and
⎥
⎥
⎥
⎦
⎤
⎢
⎢
⎢
⎣
⎡
=
333231
232221
131211
nnn
nnn
nnn
N, write the equation
for component 31
l of matrix L, where NML
⋅
=
.
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