1. Find the co-occurrence matrix of the following image for = ( ) = (2, 1).
2 1 2 0 1 0 2 1
0 2 1 1 2 1 2 2
0 1 2 2 0 0 2 1
1 2 2 0 1 1 2 2
2 0 1 0 1 2 1 1
1 2 2 1 1 0 1 0
2 1 1 0 2 1 2 0
0 2 2 1 0 0 0 1
1. A Lambertian corn with its axis located along the z-axis is illuminated by parallel light source from y-
direction, as shown in the figure.
Find the reflectance map R(p, q) of this illumination condition.
2. A constant motion can be described as , in which the
rotations are made around an axis passing though the origin. On the other hand, a vehicle type motion
is modeled as： , with constraints of
where， is rotation matrix； is rotation center at the object； is translation vector.
Prove that 1) this two model are identical
2) constant motion is actually a screw motion.
