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Relevant bibliographies by topics / IFS (Iterated Function System)

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Academic literature on the topic 'IFS (Iterated Function System)'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "IFS (Iterated Function System)"

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Iacus, Stefano Maria, and Davide La Torre. "Approximating distribution functions by iterated function systems." Journal of Applied Mathematics and Decision Sciences 2005, no. 1 (2005): 33–46. http://dx.doi.org/10.1155/jamds.2005.33.

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An iterated function system (IFS) on the space of distribution functions is built with the aim of proposing a new class of distribution function estimators. One IFS estimator and its asymptotic properties are studied in detail. We also propose a density estimator derived from the IFS distribution function estimator by using Fourier analysis. Relative efficiencies of both estimators, for small and moderate sample sizes, are presented via Monte Carlo analysis.

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Balu, Rinju, and Sunil Mathew. "ON (n, m)-ITERATED FUNCTION SYSTEMS." Asian-European Journal of Mathematics 06, no. 04 (2013): 1350055. http://dx.doi.org/10.1142/s1793557113500551.

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One of the most common way to generate a fractal is by using an iterated function system (IFS). In this paper, we introduce an (n, m)-IFS, which is a collection of n IFSs and discuss the attractor of this system. Also we prove the continuity theorem and collage theorem for (n, m)-IFS.

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Mohtashamipour, Maliheh, and Alireza Zamani Bahabadi. "Chaos in Iterated Function Systems." International Journal of Bifurcation and Chaos 30, no. 12 (2020): 2050177. http://dx.doi.org/10.1142/s0218127420501771.

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In the present paper, we study chaos in iterated function systems (IFS), namely dynamical systems with several generators. We introduce weak Li–Yorke chaos, chaos in branch, and weak topological chaos to perceive the role of branches to create chaos in an IFS. Moreover, we define another type of chaos, [Formula: see text]-chaos, on an IFS. Further, we find the necessary conditions to create the chaotic iterated function systems.

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FRAME, MICHAEL, and NIAL NEGER. "FRACTAL VIDEOFEEDBACK AS ANALOG ITERATED FUNCTION SYSTEMS." Fractals 16, no. 03 (2008): 275–85. http://dx.doi.org/10.1142/s0218348x08003946.

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We demonstrate that videofeedback augmented with one or two mirrors can produce stationary fractal patterns obtained by an iterated function system (IFS) with two transformations (one with a reflection, one without), and with four transformations (two with reflections, one without, one with a 180° rotation). Camera placement yielding only a partial image in one or both mirrors can be achieved using IFS with memory. The IFS rules are obtained from the images of three non-collinear points in each of the principal pieces of the image.

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DEKKING, F. M., and P. VAN DER WAL. "THE BOUNDARY OF THE ATTRACTOR OF A RECURRENT ITERATED FUNCTION SYSTEM." Fractals 10, no. 01 (2002): 77–89. http://dx.doi.org/10.1142/s0218348x0200077x.

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We prove for a subclass of recurrent iterated function systems (also called graph-directed iterated function systems) that the boundary of their attractor is again the attractor of a recurrent IFS. Our method is constructive and permits computation of the Hausdorff dimension of the attractor and its boundary.

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Centore, P. M., and E. R. Vrscay. "Continuity of Attractors and Invariant Measures for Iterated Function Systems." Canadian Mathematical Bulletin 37, no. 3 (1994): 315–29. http://dx.doi.org/10.4153/cmb-1994-048-6.

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AbstractWe prove the "folklore" results that both the attractor A and invariant measure μ of an N-map Iterated Function System (IFS) vary continuously with variations in the contractive IFS maps as well as the probabilities. This represents a generalization of Barnsley's result showing the continuity of attractors with respect to variations of a parameter appearing in the IFS maps. Some applications are presented, including approximations of attractors and invariant measures of nonlinear IFS, as well as some novel approximations of Julia sets for quadratic complex maps.

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YUN, CHOL-HUI. "HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTIONS WITH FUNCTION CONTRACTIVITY FACTORS." Fractals 27, no. 07 (2019): 1950113. http://dx.doi.org/10.1142/s0218348x19501135.

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In this paper, we introduce a construction of hidden variable recurrent fractal interpolation functions (HVRFIFs) with four function contractivity factors. The HVRFIF is a hidden variable fractal interpolation function (HVFIF) constructed using a recurrent iterated function system (RIFS). In the fractal interpolation theory, it is very important to ensure flexibility and diversity of the construction of interpolation functions. RIFSs produce fractal sets with local self-similarity structure. Therefore, the RIFS can describe the irregular and complicated objects in nature better than the iterat

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Mavares Ferrer, Pablo José. "Visualization of the Chaos Game for non-hyperbolic iterated function system." REVISTA ODIGOS 1, no. 2 (2020): 9–20. http://dx.doi.org/10.35290/ro.v1n2.2020.302.

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The chaos game is a random algorithm generally applied to contracting (hyperbolic) iterated function system (IFS) which makes it possible to obtain the unique attractor of the dynamic system. However, when applied to non-contractive IFS extremely interesting results can be obtained that are not only important from a theoretical and application point of view, but can also be part of a mathematical didactics that seeks to modernize teaching. In this sense, this research present some results related to the application of the chaos game to non-contracting IFS are presented.

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JONES, HUW. "ITERATED FUNCTION SYSTEMS FOR OBJECT GENERATION AND RENDERING." International Journal of Bifurcation and Chaos 11, no. 02 (2001): 259–89. http://dx.doi.org/10.1142/s0218127401002237.

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Iterated function systems (IFS) have been used since the mid 1980s in generating fractal forms and in image compression. They have the property of encoding complex structures as relatively simple and concise algorithms and data sets. The complete information for generation of an IFS structure, known as an "attractor", is held in the definition of a few transformation functions, typically affine transformations described by simple linear equations. These transform 2D or 3D objects by combinations of translation, scaling and rotation, preserving parallel lines. The process of generating an attra

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AMBROLADZE, AMIRAN. "Ergodic properties of random iterations of analytic functions." Ergodic Theory and Dynamical Systems 19, no. 6 (1999): 1379–88. http://dx.doi.org/10.1017/s014338579914166x.

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It is a known fact that an iterated function system (IFS) of entire functions is not necessarily ergodic. In this paper we show that if an IFS of analytic functions is defined in a domain whose boundary contains more than two points (in the extended complex plane) then the system possesses an ergodic property.

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Dissertations / Theses on the topic "IFS (Iterated Function System)"

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Gadde, Erland. "Stable iterated function systems." Doctoral thesis, Umeå universitet, Institutionen för matematik, teknik och naturvetenskap, 1992. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-100370.

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The purpose of this thesis is to generalize the growing theory of iterated function systems (IFSs). Earlier, hyperbolic IFSs with finitely many functions have been studied extensively. Also, hyperbolic IFSs with infinitely many functions have been studied. In this thesis, more general IFSs are studied. The Hausdorff pseudometric is studied. This is a generalization of the Hausdorff metric. Wide and narrow limit sets are studied. These are two types of limits of sequences of sets in a complete pseudometric space. Stable Iterated Function Systems, a kind of generalization of hyperbolic IFSs, are

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Reis, Glauco dos Santos. "Uma abordagem de compressão de imagens através de sistemas de funções iteradas." Universidade Presbiteriana Mackenzie, 2011. http://tede.mackenzie.br/jspui/handle/tede/1408.

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Made available in DSpace on 2016-03-15T19:37:38Z (GMT). No. of bitstreams: 1 Glauco dos Santos Reis.pdf: 1334999 bytes, checksum: d2d72d3f95a449c19482f55f82b7f61e (MD5) Previous issue date: 2011-08-22<br>Fundo Mackenzie de Pesquisa<br>A new image compression technique is proposed, based on the affine transformations (ATs) that define an iterated function system (IFS). Previous related research in the field has shown that an image may be approximated by iteratively subjecting a set of sub-regions to a group of ATs. In this case, the original image should be partitioned in regions, and each on

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Reid, James Edward. "Numerical Values of the Hausdorff and Packing Measures for Limit Sets of Iterated Function Systems." Thesis, University of North Texas, 2017. https://digital.library.unt.edu/ark:/67531/metadc1011825/.

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In the context of fractal geometry, the natural extension of volume in Euclidean space is given by Hausdorff and packing measures. These measures arise naturally in the context of iterated function systems (IFS). For example, if the IFS is finite and conformal, then the Hausdorff and packing dimensions of the limit sets agree and the corresponding Hausdorff and packing measures are positive and finite. Moreover, the map which takes the IFS to its dimension is continuous. Developing on previous work, we show that the map which takes a finite conformal IFS to the numerical value of its packing m

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Alexander, Simon. "Multiscale Methods in Image Modelling and Image Processing." Thesis, University of Waterloo, 2005. http://hdl.handle.net/10012/1179.

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The field of modelling and processing of 'images' has fairly recently become important, even crucial, to areas of science, medicine, and engineering. The inevitable explosion of imaging modalities and approaches stemming from this fact has become a rich source of mathematical applications. <br /><br /> 'Imaging' is quite broad, and suffers somewhat from this broadness. The general question of 'what is an image?' or perhaps 'what is a natural image?' turns out to be difficult to address. To make real headway one may need to strongly constrain the class of images being conside

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Qi, Xiaomin. "Fixed points, fractals, iterated function systems and generalized support vector machines." Licentiate thesis, Mälardalens högskola, Utbildningsvetenskap och Matematik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-33511.

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In this thesis, fixed point theory is used to construct a fractal type sets and to solve data classification problem. Fixed point method, which is a beautiful mixture of analysis, topology, and geometry has been revealed as a very powerful and important tool in the study of nonlinear phenomena. The existence of fixed points is therefore of paramount importance in several areas of mathematics and other sciences. In particular, fixed points techniques have been applied in such diverse fields as biology, chemistry, economics, engineering, game theory and physics. In Chapter 2 of this thesis it is

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USUI, Shin'ichi, Masayuki TANIMOTO, Toshiaki FUJII, Tadahiko KIMOTO, and Hiroshi OHYAMA. "Fractal Image Coding Based on Classified Range Regions." Institute of Electronics, Information and Communication Engineers, 1998. http://hdl.handle.net/2237/14996.

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Ådahl, Markus. "Random iteration of isometries." Doctoral thesis, Umeå University, Mathematics and Mathematical Statistics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-263.

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<p>This thesis consists of four papers, all concerning random iteration of isometries. The papers are:</p><p>I. Ambroladze A, Ådahl M, Random iteration of isometries in unbounded metric spaces. Nonlinearity 16 (2003) 1107-1117.</p><p>II. Ådahl M, Random iteration of isometries controlled by a Markov chain. Manuscript.</p><p>III. Ådahl M, Melbourne I, Nicol M, Random iteration of Euclidean isometries. Nonlinearity 16 (2003) 977-987.</p><p>IV. Johansson A, Ådahl M, Recurrence of a perturbed random walk and an iterated function system depending on a parameter. Manuscript.</p><p>In the first paper

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Inui, Kanji. "Study of the fractals generated by contractive mappings and their dimensions." Kyoto University, 2020. http://hdl.handle.net/2433/253370.

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Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(人間・環境学)<br>甲第22534号<br>人博第937号<br>新制||人||223(附属図書館)<br>2019||人博||937(吉田南総合図書館)<br>京都大学大学院人間・環境学研究科共生人間学専攻<br>(主査)教授角大輝, 教授上木直昌, 准教授木坂正史<br>学位規則第4条第1項該当

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Nowotny, Thomas. "Phase transitions and multifractal properties of random field Ising models." Doctoral thesis, Universitätsbibliothek Leipzig, 2004. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-37023.

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In dieser Arbeit werden Zufallsfeld-Ising-Modelle mit einem eingefrorenen dichotomen symmetrischen Zufallsfeld für den eindimensionalen Fall und das Bethe-Gitter untersucht. Dabei wird die kanonische Zustandssumme zu der eines einzelnen Spins in einem effektiven Feld umformuliert. Im ersten Teil der Arbeit werden das mulktifraktale Spektrum dieses effektiven Feldes untersucht, Übergänge im Spektrum erklärt und Ungleichungen zwischen lokalen und globalen Dimensionsbegriffen bewiesen, die eine weitgehend vollständige Charakterisierung des multifraktalen Spektrums durch eine Reihe von Schranken e

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Fraser, Jonathan M. "Dimension theory and fractal constructions based on self-affine carpets." Thesis, University of St Andrews, 2013. http://hdl.handle.net/10023/3869.

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The aim of this thesis is to develop the dimension theory of self-affine carpets in several directions. Self-affine carpets are an important class of planar self-affine sets which have received a great deal of attention in the literature on fractal geometry over the last 30 years. These constructions are important for several reasons. In particular, they provide a bridge between the relatively well-understood world of self-similar sets and the far from understood world of general self-affine sets. These carpets are designed in such a way as to facilitate the computation of their dimensions, an

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Books on the topic "IFS (Iterated Function System)"

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Horing, Norman J. Morgenstern. Equations of Motion with Particle–Particle Interactions and Approximations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0008.

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Starting with the equation of motion for the field operator ψ(x,t) of an interacting many-particle system, the n-particle Green’s function (Gn) equation of motion is developed, with interparticle interactions generating an infinite chain of equations coupling it to (n+1)- and (n−1)-particle Green’s functions (Gn+1 and Gn−1, respectively). Particularly important are the one-particle Green’s function equation with its coupling to the two-particle Green’s function and the two-particle Green’s function equation with its coupling to the three-particle Green’s function. To develop solutions, it is n

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Book chapters on the topic "IFS (Iterated Function System)"

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Hua, Huichun, and Bo Xiong. "A Extension to Triangular Projected Iterated Function System." In Advanced Technology in Teaching. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29458-7_93.

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Abbas, Mujahid, and Talat Nazir. "Attractor of the Generalized Contractive Iterated Function System." In Mathematical Analysis and Applications. John Wiley & Sons, Inc, 2018. http://dx.doi.org/10.1002/9781119414421.ch11.

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Liu, Xiangdong, Zhanguo Li, Degao Wang, and Liming Wang. "Researches on Control of Iterated Function System Attractors." In Lecture Notes in Electrical Engineering. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-4981-2_236.

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Cuzzocrea, Alfredo, Enzo Mumolo, and Giorgio Mario Grasso. "Genetic Estimation of Iterated Function Systems for Accurate Fractal Modeling in Pattern Recognition Tools." In Computational Science and Its Applications – ICCSA 2017. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62392-4_26.

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Luan, Haijun, Meng Zhang, Yunya Wan, Yuanrong He, Qin Nie, and Xinxin Zhang. "Establishing the Downscaling Model of NDVI Based on the Iterated Function System." In Lecture Notes in Electrical Engineering. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-3947-3_45.

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You, Fucheng, and Yingjie Liu. "The Development of E-Learning System for Fractal Fern Graphics Based on Iterated Function System." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27951-5_52.

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You, Fucheng, and Yingjie Liu. "The Development of E-Learning System for Fractal Pine Perspective Graphics Based on Iterated Function System." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27951-5_53.

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Yamaguti, Yutaka, and Ichiro Tsuda. "Application of an Iterated Function System with Dynamic Selection Probability to Deliberative Decision-Making." In Advances in Cognitive Neurodynamics (V). Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0207-6_99.

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Kielarova, Somlak Wannarumon. "Development of Hybrid Memetic Algorithm and General Regression Neural Network for Generating Iterated Function System Fractals in Jewelry Design Applications." In Lecture Notes in Computer Science. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41000-5_28.

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Yolcu, Emre, Scott Aaronson, and Marijn J. H. Heule. "An Automated Approach to the Collatz Conjecture." In Automated Deduction – CADE 28. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79876-5_27.

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AbstractWe explore the Collatz conjecture and its variants through the lens of termination of string rewriting. We construct a rewriting system that simulates the iterated application of the Collatz function on strings corresponding to mixed binary–ternary representations of positive integers. Termination of this rewriting system is equivalent to the Collatz conjecture. To show the feasibility of our approach in proving mathematically interesting statements, we implement a minimal termination prover that uses the automated method of matrix/arctic interpretations and we perform experiments where we obtain proofs of nontrivial weakenings of the Collatz conjecture. Finally, we adapt our rewriting system to show that other open problems in mathematics can also be approached as termination problems for relatively small rewriting systems. Although we do not succeed in proving the Collatz conjecture, we believe that the ideas here represent an interesting new approach.

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Conference papers on the topic "IFS (Iterated Function System)"

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U, Yongsop, Ying Yu, Dong Han, and Jizhou Sun. "Research on Generation of Fractal Architecture Model Scheme via Iterated Function System (IFS)." In 2015 International Conference on Computer Science and Intelligent Communication. Atlantis Press, 2015. http://dx.doi.org/10.2991/csic-15.2015.18.

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Cohen, H. A. "Deterministic scanning and hybrid algorithms for fast decoding of IFS (iterated function system) encoded image sets." In [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing. IEEE, 1992. http://dx.doi.org/10.1109/icassp.1992.226164.

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Darmanto, Tedjo, Iping S. Suwardi, and Rinaldi Munir. "Weaving effects in metamorphic animation of treelike fractal based on a family of multi-transitional iterated function system code." In 2013 International Conference on Computer, Control, Informatics and Its Applications (IC3INA). IEEE, 2013. http://dx.doi.org/10.1109/ic3ina.2013.6819150.

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Lu, Guojun, and Toon L. Yew. "Image compression using partitioned iterated function systems." In IS&T/SPIE 1994 International Symposium on Electronic Imaging: Science and Technology, edited by Majid Rabbani and Robert J. Safranek. SPIE, 1994. http://dx.doi.org/10.1117/12.173912.

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Mishra, Kunti, and Bhagwati Prasad. "Iterated function systems in Gb-metric space." In ADVANCEMENT IN MATHEMATICAL SCIENCES: Proceedings of the 2nd International Conference on Recent Advances in Mathematical Sciences and its Applications (RAMSA-2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5008714.

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FUH, C. D. "ITERATED RANDOM FUNCTION SYSTEM: CONVERGENCE THEOREMS." In Proceedings of a Workshop. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702715_0006.

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Potgantwar, Amol, and S. G. Bhirud. "Face recognition using Partitioned Iterated Function System." In 2009 International Conference on Application of Information and Communication Technologies (AICT). IEEE, 2009. http://dx.doi.org/10.1109/icaict.2009.5372607.

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Cong, Bo. "Vein model based on iterated function system." In 2012 Third International Conference on Intelligent Control and Information Processing (ICICIP). IEEE, 2012. http://dx.doi.org/10.1109/icicip.2012.6391470.

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Luo, Huiguo, Yaoting Zhu, Guang-Xi Zhu, and Faguang Wan. "Markov iterated function system model of images." In San Diego '92, edited by Andrew G. Tescher. SPIE, 1993. http://dx.doi.org/10.1117/12.139106.

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Potgantwar, A. D., and S. G. Bhirud. "Face recognition using partitioned iterated function system." In National Conference on Signal and Image Processing Applications. IET, 2009. http://dx.doi.org/10.1049/ic.2009.0127.

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Reports on the topic "IFS (Iterated Function System)"

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Canright, D. Estimating the Spatial Extent of Attractors of Iterated Function System. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada265856.

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