6 citations · 11 across the 4 of their papers we have counts for
7 papers
Degree reduction of composite Bézier curves
Przemysław Gospodarczyk, Stanisław Lewanowicz, Paweł Woźny
This paper deals with the problem of multi-degree reduction of a composite Bézier curve with the parametric continuity constraints at the endpoints of the segments. We present a no…
Bézier form of dual bivariate Bernstein polynomials
Stanisław Lewanowicz, Paweł Keller, Paweł Woźny
Dual Bernstein polynomials of one or two variables have proved to be very useful in obtaining Bézier form of the -solution of the problem of best polynomial approximation of B…
Constrained approximation of rational triangular Bézier surfaces by polynomial triangular Bézier surfaces
Stanisław Lewanowicz, Paweł Keller, Paweł Woźny
We propose a novel approach to the problem of polynomial approximation of rational Bézier triangular patches with prescribed boundary control points. The method is very efficient t…
Weighted polynomial approximation of rational Bézier curves
Stanisław Lewanowicz, Paweł Woźny, Paweł Keller
We present an efficient method to solve the problem of the constrained least squares approximation of the rational Bézier curve by the Bézier curve. The presented algorithm uses th…
-constrained multi-degree reduction of Bézier curves
Przemysław Gospodarczyk, Stanisław Lewanowicz, Paweł Woźny
We present a new approach to the problem of -constrained () multi-degree reduction of Bézier curves with respect to the least squares norm. First, to minimize…
Efficient merging of multiple segments of Bézier curves
Paweł Woźny, Przemysław Gospodarczyk, Stanisław Lewanowicz
This paper deals with the merging problem of segments of a composite Bézier curve, with the endpoints continuity constraints. We present a novel method which is based on the idea o…