Explicit matrix representation for NURBS curves and surfaces

The matrix forms for curves and surfaces were largely promoted in CAD/CAM. In this paper we have presented two matrix representation formulations for arbitrary degree NURBS curves and surfaces explicitly other than recursively. The two approaches are derived from the computation of divided difference and the Marsden identity respectively. The explicit coefficient matrix of B-spline with equally spaced knot and B

• Type: Journal
• Year: 2002
• Where: CAGD
• Authors: Ligang Liu, Guojin Wang
• Keywords: CAGD 2002, Coefficient Matrix, Matrix, Matrix Forms