The values for x,y and z coordinates can be determined as,

$$\begin{equation} P_x(u,v)=10(1-u-v)+8(u)+8(v)\ =10-10u-10v+8u+8v\ =10-2u-2v\ \end{equation}$$ $$\begin{equation} P_y(u,v)=-8(1-u-v)+4(u)+4(v)\ =-8+8u+8v+4u+4v\ =-8+12u+12v\ \end{equation}$$ $$\begin{equation} P_z(u,v)=3(1-u-v)+3.2(u)+3.2(v)\ =3-3u-3v+3.2u+3.2v\ =3+0.2u+0.2v\ \ \end{equation}$$

Bilinear Section The bilinear surface is the simplest non-flat (curved) surface because it is fully defined by means of its 4 corner points. …