Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Procedural generation of aesthetic patterns from dynamics and iteration processes
Contributor:
Stefanowski, Jerzy - ed. ; Krawiec, Krzysztof - ed. ; Wrembel, Robert - ed.
Subtitle:
Group publication title:
Abstract:
Aesthetic patterns are widely used nowadays, e.g., in jewellery design, carpet design, as textures and patterns on wallpapers, etc. Most of the work during the design stage is carried out by a designer manually. Therefore, it is highly useful to develop methods for aesthetic pattern generation. In this paper, we present methods for generating aesthetic patterns using the dynamics of a discrete dynamical system. The presented methods are based on the use of various iteration processes from fixed point theory (Mann, S, Noor, etc.) and the application of an affine combination of these iterations. ; Moreover, we propose new convergence tests that enrich the obtained patterns. The proposed methods generate patterns in a procedural way and can be easily implemented on the GPU. The presented examples show that using the proposed methods we are able to obtain a variety of interesting patterns. Moreover, the numerical examples show that the use of the GPU implementation with shaders allows the generation of patterns in real time and the speed-up (compared with a CPU implementation) ranges from about 1000 to 2500 times.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 27, number 4 (2017) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2017)
Last modified:
Jul 14, 2025
In our library since:
Jul 7, 2025
Number of object content hits:
12
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/100720
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 1 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 2 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 3 (2017)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 4 (2017)
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| Edition name | Date |
|---|---|
| Procedural generation of aesthetic patterns from dynamics and iteration processes | Jul 14, 2025 |
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