Krzysztof Gdawiec

Orcid: 0000-0001-9434-9307

Affiliations:
  • University of Silesia, Sosnowiec, Poland


According to our database1, Krzysztof Gdawiec authored at least 35 papers between 2009 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
On the viscosity approximation type iterative method and its non-linear behaviour in the generation of Mandelbrot and Julia sets.
Numer. Algorithms, May, 2024

A new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography.
Numer. Algorithms, April, 2024

Visualization of Escher-like Kaleidoscopic Spherical Patterns of Regular Polyhedron Symmetry.
Comput. Graph. Forum, February, 2024

Generation of Mandelbrot and Julia sets for generalized rational maps using SP-iteration process equipped with s-convexity.
Math. Comput. Simul., 2024

2023
An optimal homotopy continuation method: Convergence and visual analysis.
J. Comput. Sci., December, 2023

Interlocking Spiral Drawings Inspired by M. C. Escher's Print <i>Whirlpools</i>.
ACM Trans. Graph., April, 2023

On the Mandelbrot set of zp+logct via the Mann and Picard-Mann iterations.
Math. Comput. Simul., 2023

2022
Generation of advanced Escher-like spiral tessellations.
Vis. Comput., 2022

On a New Generalised Iteration Method in the PSO-Based Newton-Like Method.
Proceedings of the Computational Science - ICCS 2022, 2022

Pseudo-Newton Method with Fractional Order Derivatives.
Proceedings of the Computational Science - ICCS 2022, 2022

2021
Self-Similar Fractal Drawings Inspired by M. C. Escher's Print <i>Square Limit</i>.
ACM Trans. Graph., 2021

Newton's method with fractional derivatives and various iteration processes via visual analysis.
Numer. Algorithms, 2021

An Approach to Determine the Features of Dental X-ray Images Based on the Fractal Dimension.
Proceedings of the Knowledge-Based and Intelligent Information & Engineering Systems: Proceedings of the 25th International Conference KES-2021, 2021

Acceleration of the Robust Newton Method by the Use of the S-iteration.
Proceedings of the Computational Science - ICCS 2021, 2021

2020
One more look on visualization of operation of a root-finding algorithm.
Soft Comput., 2020

Visual Analysis of Dynamics Behaviour of an Iterative Method Depending on Selected Parameters and Modifications.
Entropy, 2020

2019
Stereographic Visualization of 5-Dimensional Regular Polytopes.
Symmetry, 2019

Visual Analysis of the Newton's Method with Fractional Order Derivatives.
Symmetry, 2019

Bisheh-Niasar-Saadatmandi root finding method via the S-iteration with periodic parameters and its polynomiography.
Math. Comput. Simul., 2019

Control of dynamics of the modified Newton-Raphson algorithm.
Commun. Nonlinear Sci. Numer. Simul., 2019

Mandelbrot and Julia Sets via Jungck-CR Iteration With s-Convexity.
IEEE Access, 2019

2018
PSO-Based Newton-Like Method and Iteration Processes in the Generation of Artistic Patterns.
Proceedings of the Advances in Visual Computing - 13th International Symposium, 2018

2017
Inversion Fractals and Iteration Processes in the Generation of Aesthetic Patterns.
Comput. Graph. Forum, 2017

Procedural generation of aesthetic patterns from dynamics and iteration processes.
Int. J. Appl. Math. Comput. Sci., 2017

Polynomiography for the polynomial infinity norm via Kalantari's formula and nonstandard iterations.
Appl. Math. Comput., 2017

2016
Pseudoinversion Fractals.
Proceedings of the Computer Vision and Graphics - International Conference, 2016

2015
Perturbation Mappings in Polynomiography.
Proceedings of the Man-Machine Interactions 4, 2015

2014
Mandelbrot- and Julia-Like Rendering of Polynomiographs.
Proceedings of the Computer Vision and Graphics - International Conference, 2014

2013
Aesthetic Patterns from the Perturbed Orbits of Discrete Dynamical Systems.
Proceedings of the Computer Information Systems and Industrial Management, 2013

2012
Polynomiography via Ishikawa and Mann Iterations.
Proceedings of the Advances in Visual Computing - 8th International Symposium, 2012

Recognition of Two-Dimensional Shapes Based on Dependence Vectors.
Proceedings of the Artificial Intelligence and Soft Computing, 2012

2011
Partitioned iterated function systems with division and a fractal dependence graph in recognition of 2D shapes.
Int. J. Appl. Math. Comput. Sci., 2011

Automatic Generation of Aesthetic Patterns with the Use of Dynamical Systems.
Proceedings of the Advances in Visual Computing - 7th International Symposium, 2011

2010
Pseudofractal 2D Shape Recognition.
Proceedings of the Rough Set and Knowledge Technology - 5th International Conference, 2010

2009
Shape Recognition Using Partitioned Iterated Function Systems.
Proceedings of the Man-Machine Interactions, 2009


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