Iterated function system

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  • The following describes iterated function systems, a particular implementation on the Macintosh, and presents some examples.[1]
  • One of the very common and attractive forms generated by Iterated Function Systems (IFS) is the fern leaf shown on the right.[1]
  • Such IFS systems are often known as Random Iterated Function Systems.[1]
  • Any set of linear maps (affine transformations) and an associated set of probabilities determines an Iterated Function System (IFS).[2]
  • In this chapter, we will show you how to make one of the most famous fractals via Iterated Function Systems (IFSs): the Sierpinski triangle.[3]
  • Consequently, we obtain a variety of results for iterated function system satisfying a different set of contractive conditions.[4]
  • We define an Iterated Function System as a set of separate geometric distortion functions .[5]
  • Many researchers have rendered iterated function systems at interactive rates.[5]
  • Iterated function systems are a method of generating fractals using self-similarity.[6]
  • The aim of this article is to establish some conditions under which the attractors of iterated function systems become dendrites.[7]
  • We prove that this extension is invariant under topological conjugate relation for iterated function systems.[8]
  • Our mathematical suggestion for considering this situation is an iterated function system (whereis a compact metric space.[8]
  • One of the most common ways of generating fractals is as the fixed attractor set of an iterated function system.[9]
  • In these pages we investigate several of the classic iterated functions systems and their associated fractals.[9]
  • Fractals can be formed using Iterated Function Systems.[10]
  • After seeing a few examples, we are now ready to more precisely define an iterated function system.[10]
  • In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar.[11]
  • ℝn → ℝn be an iterated function system of contractions satisfying the open set condition, where f i has scaling ratio c i < 1.[12]

소스

  1. ↑ 1.0 1.1 1.2 IFS manual
  2. ↑ Construction of fractal objects with iterated function systems
  3. ↑ Iterated Function Systems · HonKit
  4. ↑ Attractor of the Generalized Contractive Iterated Function System
  5. ↑ 5.0 5.1 GPU-Accelerated Rendering of Unbounded Nonlinear Iterated Function System Fixed Points
  6. ↑ Iterated Function Systems
  7. ↑ Dumitru , Mihail : Attractors of iterated function systems and associated graphs
  8. ↑ 8.0 8.1 Entropy of Iterated Function Systems and Their Relations with Black Holes and Bohr-Like Black Holes Entropies
  9. ↑ 9.0 9.1 Iterated Function Systems
  10. ↑ 10.0 10.1 Iterated Function Systems
  11. ↑ Iterated function system
  12. ↑ Iterated Function System - an overview

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  • [{'LOWER': 'iterated'}, {'LOWER': 'function'}, {'LEMMA': 'system'}]
  • [{'LOWER': 'ifs'}, {'LOWER': 'iterated'}, {'LOWER': 'function'}, {'LEMMA': 'system'}]
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