Paweł Woźny Instytut Informatyki Uniwersytetu Wrocławskiego ul. Joliot-Curie 15, 50-383 Wrocław tel. 71 375 7816 Pawel.Wozny@cs.uni.wroc.pl Konsultacje: informacja w Systemie Zapisów.

Doktoranci

[2]	F. Chudy, New algorithms for Bernstein polynomials, their dual bases, and B-spline functions, Instytut Informatyki Uniwersytetu Wrocławskiego, 2022 [PDF]
[1]	P. Gospodarczyk, Degree reduction and merging of Bézier curves, Instytut Informatyki Uniwersytetu Wrocławskiego, 2016 [PDF]

Publikacje

[42]	F. Chudy, P. Woźny, Efficient evaluation of Bernstein-Bézier coefficients of B-spline basis functions over one knot span, Computer Aided-Design, 178 (2025), 103804 [Abstract] [DOI] [arXiv] BSpline-BF-one-interval.c – C source (implementation of the algorithm and tests; GCC 11.4.0).
[41]	F. Chudy, P. Woźny, Fast evaluation of derivatives of Bézier curves, Computer Aided Geometric Design, 109 (2024), 102277 [Abstract] [DOI] [arXiv] Part of special issue Paul de Casteljau, a pioneer in CAGD edited by C.V. Beccari, K. Hormann, Ch. Rabut, W. Wang. NewBezierDiffEval.cpp – C++ source (implementation of the algorithms and tests; G++ 11.3.0).
[40]	F. Chudy, P. Woźny, Linear-time algorithm for computing the Bernstein-Bézier coefficients of B-spline functions, Computer Aided-Design, 154 (2023), 103434 [Abstract] [DOI] [arXiv] BSpline-BF.c, BSpline-BF-Surf.c – C sources (implementation of the algorithms and tests; GNU C Compiler 11.2.0). BSpline-BF-Example-5-1.xlsx – the computation results of Example 5.1. BSpline-BF-Example-5-4.xlsx – the computation results of Example 5.4.
[39]	F. Chudy, P. Woźny, Fast and accurate evaluation of dual Bernstein polynomials, Numerical Algorithms 87 (2021), 1001-1015 [Abstract] [DOI] [arXiv]
[38]	P. Woźny, F. Chudy, Linear-time geometric algorithm for evaluating Bézier curves, Computer Aided-Design 118 (2020), 102760 [Abstract] [DOI] [arXiv] new-Bezier-eval-main.c – a C source (implementation of the algorithms and tests; GNU C Compiler 7.4.0).

[37]	F. Chudy, P. Woźny, Differential-recurrence properties of dual Bernstein polynomials, Applied Mathematics and Computation 338 (2018), 537-543 [Abstract] [DOI] [arXiv]
[36]	R. Nowak, P. Woźny, New properties of a certain method of summation of generalized hypergeometric series, Numerical Algorithms 76 (2017), 377-391 [Abstract] [DOI] [arXiv]
[35]	S. Lewanowicz, P. Keller, P. Woźny, Bézier form of dual bivariate Bernstein polynomials, Advances in Computational Mathematics 43 (2017), 777-793 [Abstract] [DOI] [arXiv]
[34]	S. Lewanowicz, P. Keller, P. Woźny, Constrained approximation of rational triangular Bézier surfaces by polynomial triangular Bézier surfaces, Numerical Algorithms 75 (2017), 93-111 [Abstract] [DOI] [arXiv] swan.txt – a text file containing control points and weights of the composite rational Bézier surface "Swan".
[33]	P. Gospodarczyk, S. Lewanowicz, P. Woźny, Degree reduction of composite Bézier curves, Applied Mathematics and Computation 293 (2017), 40-48 [Abstract] [DOI] [arXiv] squirrel.txt – text file containing control points of the composite Bézier curve "Squirrel".
[32]	P. Gospodarczyk, P. Woźny, An iterative approximate method of solving boundary value problems using dual Bernstein polynomials, techn. report, Wrocław, Sep. 2017 [arXiv]
[31]	P. Gospodarczyk, P. Woźny, Efficient modified Jacobi-Bernstein basis transformations, techn. report, Wrocław, Jan. 2017 [arXiv]
[30]	P. Gospodarczyk, P. Woźny, Dual polynomial spline bases, techn. report, Wrocław, Nov. 2016 [arXiv]
[29]	P. Gospodarczyk, P. Woźny, Efficient degree reduction of Bézier curves with box constraints using dual bases, techn. report, Wrocław, Dec. 2016 [arXiv] DualRedDegRed.mws – a Maple 13.0 worksheet containing implementation of the algorithms and tests. octopus.txt – text file containing control points of the composite Bézier curve "Octopus".
[28]	P. Gospodarczyk, P. Woźny, Merging of Bézier curves with box constraints, Journal of Computational and Applied Mathematics 296 (2016), 265-274 [Abstract] [DOI] [arXiv] ResMerging.mw – a Maple 13.0 worksheet containing implementation of the algorithms and tests.
[27]	P. Gospodarczyk, S. Lewanowicz, P. Woźny, $G^{k,l}$-constrained multi-degree reduction of Bézier curves, Numerical Algorithms 71 (2016), 121-137 [Abstract] [DOI] [arXiv] GDegRed.mws – a Maple 13.0 worksheet containing implementation of the algorithms and tests.
[26]	P. Woźny, P. Gospodarczyk, S. Lewanowicz, Efficient merging of multiple segments of Bézier curves, Applied Mathematics and Computation 268 (2015), 354-363 [Abstract] [DOI] [arXiv] Merging.mw – a Maple 13.0 worksheet containing implementation of the algorithms and tests.
[25]	S. Lewanowicz, P. Woźny, P. Keller, Weighted polynomial approximation of rational Bézier curves, techn. report, Wrocław, Feb. 2015 [arXiv] This paper is an extended version of our paper [18], in which the simplest form of the distance between curves is used.
[24]	P. Woźny, Construction of dual B-spline functions, Journal of Computational and Applied Mathematics 260 (2014), 301-311 [Abstract] [DOI]
[23]	P. Woźny, Bazy Bernsteina: dualność i zastosowania, autoreferat rozprawy habilitacyjnej, Wrocław, 2013, 25 stron [WWW]
[22]	P. Woźny, A short note on Jacobi-Bernstein connection coefficients, Applied Mathematics and Computation 222 (2013), 53-57 [Abstract] [DOI]
[21]	S. Lewanowicz, P. Woźny, R. Nowak, Structure relations for the bivariate big q-Jacobi polynomials, Applied Mathematics and Computation 219 (2013), 8790-8802 [Abstract] [DOI] SRbigqJac2-Remark42.mw – a Maple 14.0 worksheet to produce the explicit forms of the coefficients of four structure relactions for the bivariate little q-Jacobi polynomials
[20]	P. Woźny, Construction of dual bases, Journal of Computational and Applied Mathematics 245 (2013), 75-85 [Abstract] [DOI]
[19]	P. Woźny, Simple algorithms for computing the Bézier coefficients of the constrained dual Bernstein polynomials, Applied Mathematics and Computation 219 (2012), 2521-2525 [Abstract] [DOI]
[18]	S. Lewanowicz, P. Woźny, P. Keller, Polynomial approximation of rational Bézier curves with constraints, Numerical Algorithms 59 (2012), 607-622 [Abstract] [DOI] PolyApproxRatBezier-Algorithm-4.2.mws – a Maple 8.0 worksheet containing the implementation of the Algorithm 4.2
[17]	S. Lewanowicz, P. Woźny, Bézier representation of the constrained dual Bernstein polynomials, Applied Mathematics and Computation 218 (2011), 4580-4586 [Abstract] [DOI]
[16]	S. Lewanowicz, P. Woźny, Multi-degree reduction of tensor product Bézier surfaces with general boundary constrains, Applied Mathematics and Computation 217 (2011), 4596-4611 [Abstract] [DOI] DegRedTensor-Algorithm-4.4.mws – a Maple 8.0 worksheet containing the implementation of the Algorithm 4.4. DegRedTensor-Figures.mws – a Maple 8.0 worksheet containing the illustrative material of the section 5.
[15]	P. Woźny, S. Lewanowicz, Constrained multi-degree reduction of triangular Bézier surfaces using dual Bernstein polynomials, Journal of Computational and Applied Mathematics 235 (2010), 785-804 [Abstract] [DOI] DegRed3D-Algorithm-4.7.mws – a Maple 8.0 worksheet containing the implementation of the Algorithm 4.7. DegRed3D-Figures.mws – a Maple 8.0 worksheet containing the illustrative material of the section 5.
[14]	P. Woźny, Efficient algorithm for summation of some slowly convergent series, Applied Numerical Mathematics 60 (2010), 1442-1453 [Abstract] [DOI]
[13]	P. Keller, P. Woźny, On the convergence of the method for indefinite integration of oscillatory and singular functions, Applied Mathematics and Computation 216 (2010), 989-998 [Abstract] [DOI]
[12]	S. Lewanowicz, P. Woźny, Two-variable orthogonal polynomials of big q-Jacobi type, Journal of Computational and Applied Mathematics 233 (2010), 1554-1561 [Abstract] [DOI]
[11]	P. Woźny, R. Nowak, Method of summation of some slowly convergent series, Applied Mathematics and Computation 215 (2009), 1622-1645 [Abstract] [DOI]
[10]	P. Woźny, S. Lewanowicz, Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials, Computer Aided Geometric Design 26 (2009), 566-579 [Abstract] [DOI]
[9]	S. Lewanowicz, P. Woźny, I. Area, E. Godoy, Multivariate generalized Bernstein polynomials: identities for orthogonal polynomials of two variables, Numerical Algorithms 49 (2008), 199-220 [Abstract] [DOI]
[8]	S. Lewanowicz, P. Woźny, Dual generalized Bernstein basis, Journal of Approximation Theory 138 (2006), 129-150 [Abstract] [DOI]
[7]	S. Lewanowicz, P. Woźny, Connections between two-variable Bernstein and Jacobi polynomials on the triangle, Journal of Computational and Applied Mathematics 197 (2006), 520-533 [Abstract] [DOI]
[6]	P. Woźny, Własności współczynników Fouriera względem semiklasycznych wielomianów ortogonalnych, praca doktorska, Instytut Informatyki Uniwersytetu Wrocławskiego, Wrocław, 2004
[5]	I. Area, E. Godoy, P. Woźny, S. Lewanowicz, A. Ronveaux, Formulae relating little q-Jacobi, q-Hahn and q-Bernstein polynomials: Application to the q-Bézier curve evaluation, Integral Transforms and Special Functions 15 (2004), 375-385 [Abstract] [DOI]
[4]	S. Lewanowicz, P. Woźny, Generalized Bernstein polynomials, BIT Numerical Mathematics 44 (2004), 63-78 [Abstract] [DOI]
[3]	S. Lewanowicz, P. Woźny, Recurrence relations for the coefficients in series expansions with respect to semi-classical orthogonal polynomials, Numerical Algorithms 35 (2004), 61-79 [Abstract] [DOI]
[2]	P. Woźny, Recurrence relations for the coefficients of expansions in classical orthogonal polynomials of a discrete variable, Applicationes Mathematicae 30 (2003), 89-107 [Abstract] [DOI]
[1]	S. Lewanowicz, P. Woźny Algorithms for construction of recurrence relations for the coefficients of expansions in series of classical orthogonal polynomials, techn. report, Inst. of Computer Sci., Univ. of Wrocław, Feb. 2000 [Abstract] charlier.mpl krawtcho.mpl meixner.mpl hahn.mpl

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