Cubic Space Curves

• Cubic polynomial

  • x(u) = au3+bu2+cu+d = ua
  • where u = [u3 u2 u 1], a = [a b c d]T

• Three cubics, one for each coordinate

  • x(u) = axu3+bxu2+cxu+dx
  • y(u) = ayu3+byu2+cyu+dy
  • z(u) = azu3+bzu2+czu+dz

• In matrix notation

• Or simply x = uA

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