Parametric Curves

0<= t<=1

Linear:
x = axt + bx
y = ayt + by
z = azt + bz
Quadratic:
x = axt2 + bxt + cx
y = ayt2 + byt + cy
z = azt2 + bzt + cz
Cubic:
x = axt3 + bxt 2+ cxt + dx
y = ayt3 + byt 2+ cyt + dy
z = azt3 + bzt 2+ zczt + dz