Question: 6.4 Consider the 3-D function (a) Create a 3-D LUT of size 121212 by uniformly sampling the function from 0 to 1 in all directions.

6.4 Consider the 3-D function

g= f(x, y, z) = (xz+yz+xyz + 1)In (xyz + 1) 0

(a) Create a 3-D LUT of size 121212 by uniformly sampling the function from 0 to 1 in all directions. The total number of grid points is 1728.

(b) Use trilinear interpolation to estimate the values of the function at x¼0.75, y¼0.68, and z¼0.896. What is the resulting MSE?

(c) Repeat part b for the point with coordinates x¼0.75, y¼0.75, and z¼1.
What is the resulting MSE?

g= f(x, y, z) = (xz+yz+xyz + 1)In (xyz + 1) 0 < x, y, z1

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