de Casteljau's algorithm is a recursive algorithm for evaluating Bezier curves. Basically, it takes a set of points along with a parameter $t$ and performs linear ...

For example, controlPoints [0] and controlPoints [n-1] each have n control points at the bottom row and the top row, respectively. The inputs to the algorithm are (1) a n×n grid of original control ...

Abstract: Ruled surface design and its applications are widely used in CAGD (computer aided geometric design) and industrial areas. The dual De Casteljau algorithm [K. Sprott et. al., (1997)] is for ...

Periodic Hermite spline interpolants on an equidistant lattice are represented by the Bézier technique as well as by the B-spline method. Circulant matrices are used to derive new explicit formulas ...