most citedWeighted polynomial approximation of rational Bézier curves

1 citations · 1 across the 2 of their papers we have counts for

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5 papers

math.NA2015

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…

math.NA2015

On recursive algorithms for inverting tridiagonal matrices

Paweł Keller, Iwona Wróbel

If is a tridiagonal matrix, then the equations and defining the inverse of are in fact the second order recurrence relations for the elements in each row…

math.NA2015

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…

math.NA2015★ 1 cited

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…

math.NA2011

Roundoff errors in the problem of computing Cauchy principal value integrals

Paweł Keller, Iwona Wróbel

We investigate the possibility of fast, accurate and reliable computation of the Cauchy principal value integrals using st…