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On convolutions of algebraic curves
We focus on the investigation of relations between plane algebraic curves and their convolution. Since the convolution of irreducible algebraic curves is not necessarily irreducible, an upper bound for the number o...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Algebraic Curves Given by Puiseux Tree
Puiseux tree represents locally planar curve branches at a given point. It is well known how to find Puiseux tree from the algebraic equation of the curve. We consider the other direction and propose an algorithm to find
Applied mathematics
- 2017 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Symmetries and similarities of planar algebraic curves using harmonic polynomials
We present novel, deterministic, efficient algorithms to compute the symmetries of a planar algebraic curve, implicitly defined, and to check whether or not two given implicit planar algebraic curves are similar, i...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Exploration of dual curves using dynamic geometry and computer algebra system
This submission deals with the use of the dynamic mathematics software GeoGebra to determine the dual curve to the given curve and inspect its properties. The combination of dynamic geometry tools with computer algebra func...
Education, general; including training, pedagogy, didactics [and education systems]
- 2018 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Algebraic Curves of Low Convolution Degree
of planar algebraic curves with respect to the operation of convolution, namely on the curves with theconvolution degree one (so called LN curves) and two. We will present an algebraic analysis of these <...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Approximate parameterizations of space algebraic curves
an approximate parameterization of space algebraic curves. Firstly, we determine a space graph which is topologically equivalent to an implicit algebraic space curve. Then, a computation of a spline curve...
BA - Obecná matematika
- 2011 •
- O
Rok uplatnění
O - Ostatní výsledky
Approximate symmetries of planar algebraic curves with inexact input
In this paper, we formulate a simple algorithm for an approximate reconstruction of an inexact planar curve which is assumed to be a perturbation of some unknown planar curve with symmetry. The input curve is given by a per...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Local Properties of Algebraic Curves Using Rational Puiseux Series
properties of algebraic curves at their singular points. In particular we exploit the existence of a bijection between the curve real branches and set of rational Puiseux series at a given point of the curve. We d...
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves
Describing the topology of real algebraic curves is a classical problem in computational algebraic geometry. It is usually based on algebraic techniques applied directly to the curve equation. We use the i...
BA - Obecná matematika
- 2014 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Drawing and investigation of curves in GeoGebra
Possible ways of an effective use of the combination of tools of dynamic geometry and computer algebra features of GeoGebra are presented by means of particular examples in the contribution. The curves are considered as locus cu...
AM - Pedagogika a školství
- 2016 •
- D
Rok uplatnění
D - Stať ve sborníku
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