Question $6$

Suppose that you have a task to design a mold to build Super Bowl rings. You want to use a bicubic B$$zier surface patch to model a portion of the ring.

a$.$ Derive the equation of the bi$-$quadratic B$$zier surface patch in a matrix form.

b$.$ You received the design of one patch of the ring outer surface with the control points as

Patch $1$:

$\backslash$table$[[([1,17,2]),([3,17,6]),(6175)$