23 citations · 39 across the 14 of their papers we have counts for
5 papers · 1 filter
Efficient degree reduction of Bézier curves with box constraints using dual bases
Przemysław Gospodarczyk, Paweł Woźny
In this paper, we give an efficient algorithm of degree reduction of Bézier curves with box constraints. The idea is to combine the previous iterative approach, that has been prese…
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…