6 citations · 15 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…