document: 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 Bezier curves and surfaces can be obtained by these formulae . The coefficient formulae and the coefficient matrix formulae developed in this paper express non-uniform B-spline functions of arbitrary degree in explicit polynomial and matrix forms . . They are useful for the evaluation and the conversion of NURBS curves and surfaces , in CAD/CAM systems
doc_bio_tags: B I I O B I O O O O O O O O O O O O O O O O O O O O O O B I I O O O B I O O O O O O O O O O O O O O O O B I O O B I O O O B I I O O O B I I O B I O O O O O O O O O O B I O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O