Přejít k obsahu

Publikační činnost

Přehled publikační činnosti je uveden ve výročních zprávách na úřední desce FAV.

Níže je k dispozici on-line výpis z databáze publikační činnosti v jednotlivých letech (Pozn. vzhledem k většímu počtu publikačních výsledků může trvat zobrazení výpisu déle).



Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form

Citace:
BIZZARRI, M., LÁVIČKA, M., VRŠEK, J. Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form. COMPUTER AIDED GEOMETRIC DESIGN, 2017, roč. 56, č. August, s. 52-66. ISSN: 0167-8396
Druh: ČLÁNEK
Jazyk publikace: eng
Anglický název: Piecewise rational approximation of square-root parameterizable curves using the Weierstrass form
Rok vydání: 2017
Autoři: RNDr. Michal Bizzarri Ph.D. , Doc. RNDr. Miroslav Lávička Ph.D. , RNDr. Jan Vršek Ph.D. ,
Abstrakt EN: In this paper we study situations when non-rational parameterizations of planar or space curves as results of certain geometric operations or constructions are obtained, in general. We focus especially on such cases in which one can identify a rational mapping which is a double cover of a rational curve. Hence, we deal with rational, elliptic or hyperelliptic curves that are birational to plane curves in the Weierstrass form and thus they are square-root parameterizable. We design a simple algorithm for computing an approximate (piecewise) rational parametrization using topological graphs of the Weierstrass curves. Predictable shapes reflecting a number of real roots of a univariate polynomial and a possibility to approximate easily the branches separately play a crucial role in the approximation algorithm. Our goal is not to give a comprehensive list of all such operations but to present at least selected interesting cases originated in geometric modelling and to show a unifying feature of the formulated method. We demonstrate our algorithm on a number of examples.
Klíčová slova

Zpět

Patička