3 papers
cs.GR2026
Fast subdivision of Bézier curves
PaweŠWoźny, Filip Chudy
It is well-known that a -dimensional polynomial Bézier curve of degree can be subdivided into two segments using the famous de Casteljau algorithm in time. Can th…
math.NA2026
Evaluation of Gauss-Legendre curves
Filip Chudy, PaweŠWoźny
We present new representations of Gauss--Legendre polynomials and their derivatives in the shifted power basis and in bases related to symmetric orthogonal Jacobi polynomials. Usin…
math.NA2024
Efficient evaluation of Bernstein-Bézier coefficients of B-spline basis functions over one knot span
Filip Chudy, PaweŠWoźny
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 b…