6 research outputs found
Interactive evolutionary 3D fractal modeling.
Pang, Wenjun.Thesis (M.Phil.)--Chinese University of Hong Kong, 2009.Includes bibliographical references (leaves 83-88).Abstracts in English and Chinese.ACKNOWLEDGEMENTS --- p.iiABSTRACT --- p.iv摘要 --- p.vCONTENTS --- p.viList of Tables --- p.viiiList of Figures --- p.ixChapter 1. --- INTRODUCTION --- p.1Chapter 1.1 --- Recent research work --- p.4Chapter 1.2 --- Objectives --- p.8Chapter 1.3 --- Thesis Organization --- p.10Chapter 2. --- FRACTAL MODELING --- p.12Chapter 2.1 --- Fractal and Fractal Art --- p.12Chapter 2.2 --- Fractal Geometry --- p.15Chapter 2.3 --- Construction of Fractals --- p.21Chapter 2.4 --- Fractal Measurement and Aesthetics --- p.27Chapter 3. --- OVERVIEW OF EVOLUTIONARY DESIGN --- p.30Chapter 3.1 --- Initialization --- p.33Chapter 3.2 --- Selection --- p.33Chapter 3.3 --- Reproduction --- p.34Chapter 3.4 --- Termination --- p.36Chapter 4. --- EVOLUTIONARY 3D FRACTAL MODELING --- p.38Chapter 4.1 --- Fractal Construction --- p.38Chapter 4.1.1 --- Self-similar Condition of Fractal --- p.38Chapter 4.1.2 --- Fractal Transformation (FT) IFS Formulation --- p.39Chapter 4.1.3 --- IFS Genotype and Phenotype Expression --- p.41Chapter 4.2 --- Evolutionary Algorithm --- p.43Chapter 4.2.1 --- Single-point Crossover --- p.45Chapter 4.2.2 --- Arithmetic Gaussian mutation --- p.45Chapter 4.2.3 --- Inferior Elimination --- p.46Chapter 4.3 --- Interactive Fine-tuning using FT IFS --- p.46Chapter 4.4 --- Gaussian Fitness Function --- p.48Chapter 5. --- GAUSSIAN AESTHETIC FITNESS FUNCTION --- p.49Chapter 5.1 --- Fitness Considerations --- p.50Chapter 5.2 --- Fitness Function Formulation --- p.53Chapter 5.3 --- Results and Discussion on Fitness Function --- p.55Chapter 6. --- EXPERIMENT RESULTS and DISCUSSION --- p.59Chapter 6.1 --- Experiment of Evolutionary Generation --- p.59Chapter 6.2 --- Comparison on Different Methods --- p.60Chapter 7. --- 3D FRACTALS RENDERING and APPLICATION --- p.62Chapter 7.1 --- Transforming Property and User Modification --- p.62Chapter 7.2 --- Visualization and Rendering of 3D Fractals --- p.66Chapter 7.3 --- Applications in Design --- p.74Chapter 8. --- CONCLUSIONS and FUTURE WORK --- p.81Chapter 8.1 --- Conclusions --- p.81Chapter 8.2 --- Future Work --- p.81BIBLIOGRAPHY --- p.83Appendix --- p.89Marching Cubes Method --- p.8
Automatic Generation of Aesthetic Patterns with the Use of Dynamical Systems
The aim of this paper is to present some modifications of the orbits generation algorithm of dynamical systems. The well-known Picard iteration is replaced by the more general one - Krasnosielskij iteration. Instead of one dynamical system, a set of them may be used. The orbits produced during the iteration process can be modified with the help of a probabilistic factor. By the use of aesthetic orbits generation of dynamical systems one can obtain unrepeatable collections of nicely looking patterns. Their geometry can be enriched by the use of the three colouring methods. The results of the paper can inspire graphic designers who may be interested in subtle aesthetic patterns created automatically
Procedural Generation of Artistic Patterns Using a Modified Orbit Trap Method
In the literature, we can find various methods for generating artistic patterns. One of the methods is the orbit trap method. In this paper, we propose various modifications of a variant of the orbit trap method that generates patterns with wallpaper symmetry. The first modification relies on replacing the Picard iteration (used in the original method) with the S-iteration known from the fixed point theory. Moreover, we extend the parameters in the S-iteration from scalar to vector ones. In the second modification, we replace the Euclidean metric used in the orbit traps with other metrics. Finally, we propose three new orbit traps. The presented examples show that using the proposed method, we are able to obtain a great variety of interesting patterns. Moreover, we show that a proper selection of the orbit traps and the mapping used by the method can lead to patterns that possess a local fractal structure.Natural Science Foundation of China grant number 6206204
Recommended from our members
Evaluating complex engineered systems using complex network representations
This thesis is the combination of two research publications working toward a unified strategy in which to represent complex engineered systems as complex networks. Current engineered system modeling techniques segment large complex models into multiple groups to be simulated independently. These methods restrict the evaluations of such complex systems as their failure properties are typically unknown until they are experienced in operation.
In an effort to combat the computationally prohibitive simulations required for the analysis of complex engineered systems, complex networks are used to simplify the analysis and provide data during early design when costs for design changes and associated risk are lower. The first publication presents a methodology in which to model complex engineered systems as networks so that nodes are commensurate in ontological category under a common analysis goal. The second publication identifies a model scaling technique in which to evaluate network topology metrics for an evaluation of parameterized failure performance. Each publication utilized a drivetrain model to illustrate and simulate the methods and potential results. It was found that a bipartite behavioral network is capable of consistently identifying system failures within network topology. By analyzing complex engineered systems with complex network techniques, an evaluation of system robustness can be developed in an effort to eliminate variation in system performance
Automatic Structure Generation using Genetic Programming and Fractal Geometry
Three dimensional model design is a well-known and studied field, with numerous real-world
applications. However, the manual construction of these models can often be time-consuming to the
average user, despite the advantages o ffered through computational advances. This thesis presents
an approach to the design of 3D structures using evolutionary computation and L-systems, which
involves the automated production of such designs using a strict set of fitness functions. These
functions focus on the geometric properties of the models produced, as well as their quantifiable
aesthetic value - a topic which has not been widely investigated with respect to 3D models. New
extensions to existing aesthetic measures are discussed and implemented in the presented system in
order to produce designs which are visually pleasing. The system itself facilitates the construction of
models requiring minimal user initialization and no user-based feedback throughout the evolutionary
cycle. The genetic programming evolved models are shown to satisfy multiple criteria, conveying a
relationship between their assigned aesthetic value and their perceived aesthetic value. Exploration
into the applicability and e ffectiveness of a multi-objective approach to the problem is also presented,
with a focus on both performance and visual results. Although subjective, these results o er insight
into future applications and study in the fi eld of computational aesthetics and automated structure
design
Algorytmy ewolucyjne w projektowaniu fraktalnych wzorów użytkowych
The aim of the PhD thesis is an automatic search of fractal patterns with the highest value of
aesthetics.
Nowadays designers pay a lot of attention to product design. Consumer market demand is
associated with not only functionality of the product, but also with its aesthetics. Expectations of the
consumer while using the product, which may be an electronic device or software, are described as
“user experience” (UX). It involves the interaction between man and computer, and refers to the
functionality, comfort and work satisfaction. The design of the product has among others the impact
on these factors.
In the work genetic algorithms were used, which require just direct search in the set of feasible
solutions, using estimation of the evaluation function of individuals - fractal patterns. The
evaluation function was based on the statistical research on group of 100 respondents.
Experimental studies using different types of genetic operators, selection and reproduction of
individuals were presented in the PhD thesis. The effect of genetic parameters of the algorithm for
its convergence was examined. Finally geometric patterns with a nontrivial structure and aesthetic
values were generated, which accounted for the purpose of research.
The PhD thesis includes defining the characteristics and algorithm which allows fully automatic
generation of aesthetic fractal patterns, according to the valuation of these characteristics, imitating,
in simple terms, human perception. The research includes the study of fractals and dynamic systems
in terms of visual, formalization of important from the point of view of human perception
characteristics that describe the fractal structure, and determining their parameters. Using these
parameters, it is possible to identify from a large number of fractal patterns structures showing its
construction, for the average person, beauty