Vandermonde matrix

x-degree: y-degree: z-degree:

A
D
a

B
E
b

C
F
c

x
y
w

=

Ax + By + Cw
Dx + Ey + Fw
ax + by + cw

A
D
a

B
E
b

C
F
c

x
y
w

=

Ax + By + Cw
Dx + Ey + Fw
ax + by + cw

A
D
a

B
E
b

C
F
c

x
y
w

=

Ax + By + Cw
Dx + Ey + Fw
ax + by + cw