3 papers
math.NA2026
Dual Gauss--Legendre polynomials
Paweł Woźny
We define and investigate two families of dual polynomials associated with the Gauss--Legendre polynomials, which have recently found interesting applications in computer graphics.…
math.NA2024
Efficient evaluation of Bernstein-Bézier coefficients of B-spline basis functions over one knot span
Filip Chudy, Paweł Woźny
New differential-recurrence relations for B-spline basis functions are given. Using these relations, a recursive method for finding the Bernstein-Bézier coefficients of B-spline ba…
math.NA2023
Fast evaluation of derivatives of Bézier curves
Filip Chudy, Paweł Woźny
New geometric methods for fast evaluation of derivatives of polynomial and rational Bézier curves are proposed. They apply an algorithm for evaluating polynomial or rational Bézier…