6 citations · 15 across the 8 of their papers we have counts for
8 papers
An iterative approximate method of solving boundary value problems using dual Bernstein polynomials
Przemysław Gospodarczyk, Paweł Woźny
In this paper, we present a new iterative approximate method of solving boundary value problems. The idea is to compute approximate polynomial solutions in the Bernstein form using…
Efficient modified Jacobi-Bernstein basis transformations
Przemysław Gospodarczyk, Paweł Woźny
In the paper, we show that the transformations between modified Jacobi and Bernstein bases of the constrained space of polynomials of degree at most can be performed with the c…
Dual polynomial spline bases
Przemysław Gospodarczyk, Paweł Woźny
In the paper, we give methods of construction of dual bases for the B-spline basis and truncated power basis. Explicit formulas for the dual B-spline basis are obtained using the L…
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…
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…
-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…