References#
Works cited throughout the theory pages.
[MBanovicA+18]
Orest Mykhaskiv, Mladen Banović, Salvatore Auriemma, Pavanakumar Mohanamuraly, Andrea Walther, Herve Legrand, and Jens-Dominik Müller. NURBS-based and parametric-based shape optimization with differentiated CAD kernel. Computer-Aided Design and Applications, 15(6):916–926, 2018.
[PT97]
Les Piegl and Wayne Tiller. The NURBS Book. Springer, 2 edition, 1997. doi:10.1007/978-3-642-59223-2.
Further reading#
For an accessible derivation of the derivative curve and its shortened knot vector, see Ching-Kuang Shene’s Derivatives of a B-spline Curve. His NURBS properties also explain local support and the role of weights.