scholarly journals PEMANFAATAN METODE ITERATED FUNCTION SYSTEM (IFS) PADA PEMBANGKITAN KURVA NAGA

2020 ◽  
Vol 20 (2) ◽  
pp. 89
Author(s):  
Vian Hafid Suny ◽  
Kosala Dwidja Purnomo ◽  
Firdaus Ubaidillah
Keyword(s):  
Affine Transformation ◽  
System Approach ◽  
Rotation Angle ◽  
Iterated Function System ◽  
Function System ◽  
Production Rules ◽  
Fixed Angle ◽  
L System ◽  
System L ◽  
Iterated Function

Fractals have two types, namely fractals sets (artificial fractals) and natural fractals. Each type of fractal has a variety of fractal objects. One of the fractal objects is the Dragon Curve. Fractal objects can be generated through two methods, namely the Lindenmayer System (L-System) and the Iterated Function System (IFS). In previous studies, the Dragon curve can be generated through the L-System approach. The method is to start from determining the rotation angle, then determining the initial string, and the last one, which is determining the production rules. In this study, the Dragon curve is generated using IFS with Affine Transformation. The Affine transformation used in this study is dilation and rotation. Some variation is given on the scale of dilation and rotation angle. The variation is using a fixed angle with a variety of scale and using a fixed scale with a variation of angle. Each variation gives a different effect. This influence results in a varied visualization of the Naga curve. If the scale and angle that is varied approach a scale of one and an angle of 90° then the fractal formed approaches the Dragon curve of a scale of one with an angle of 90°. Conversely, if the scale and angle are varied away from one scale and angle of 90°, the fractal formed away from the Dragon curve of scale one with an angle of 90°. Keywords: Affine transformation, dragon curve, IFS method.

The Studies of Modeling Method for Three Dimension Iterated Function System

2014 ◽  
Vol 513-517 ◽  
pp. 2569-2572
Author(s):  
Shun Sheng Dong ◽  
Qian Wang ◽  
Xia Rong
Keyword(s):  
Affine Transformation ◽  
Iterated Function System ◽  
Three Dimensional ◽  
Modeling Method ◽  
Transformation Matrix ◽  
Function System ◽  
Three Dimension ◽  
Iterated Function ◽  
Different Types ◽  
Fractal Images

In order to describe the shape of the trees in nature better and simulate the trees realistically, This method that by changing the parameters of affine transformation matrix the different types of three dimensional fractal images are drawn is discussed.and the model of generating three dimensional plant is built based on iterated function system.Finally take an example like a set of images through contractive affine transformation and in the chaosPro environment,the graphics are generated and the different types of natural scenery of trees are simulated,using the established model and translation, rotation and scaling of affine transformation.

Application Study of Fractal Figures Based on Iterated Function System Algorithm

2013 ◽  
Vol 694-697 ◽  
pp. 2886-2890
Author(s):  
Hai Rong Xiao
Keyword(s):  
Affine Transformation ◽  
Traditional Method ◽  
Iterated Function System ◽  
Function System ◽  
Characteristic Parameters ◽  
Application Study ◽  
Simulation Based ◽  
Iterated Function ◽  
Mapping Process

According to different morphology of trees in the nature, tree simulation based on Iterated Function System Algorithm and its mapping process was discussed. In order to overcome the inadequacy of traditional method: dull color and rough picture, an improved Iterated Function System Algorithm for tree shading was proposed. Also the corresponding relationship was analysed between the affine transformation coefficients and the characteristic parameters of different trees, various forms of trees could be generated successfully by controlling the characteristic parameters of the tree. Again fractal animation-tree swaying was discussed. Finally, through the method mentioned above, tree animation and different forms of trees could be realized successfully .in the environment of Visual C++, and the results prove that the method is effective.

ARCLENGTH AS THE INVARIANT MEASURE FOR AN IFS WITH PROBABILITIES

Fractals ◽  
2015 ◽  
Vol 23 (04) ◽  
pp. 1550046
Author(s):  
D. LA TORRE ◽  
F. MENDIVIL
Keyword(s):  
Invariant Measure ◽  
Iterated Function System ◽  
Function System ◽  
Iterated Function

Given a continuous rectifiable function [Formula: see text], we present a simple Iterated Function System (IFS) with probabilities whose invariant measure is the normalized arclength measure on the graph of [Formula: see text].

Stochastic Fractal Modeling and Process Planning for Machining Using Two-Dimensional Iterated Function System

2008 ◽  
Vol 392-394 ◽  
pp. 575-579
Author(s):  
Yu Hao Li ◽  
Jing Chun Feng ◽  
Y. Li ◽  
Yu Han Wang
Keyword(s):  
Path Planning ◽  
Tool Path ◽  
Iterated Function System ◽  
Numerical Control ◽  
Function System ◽  
Tool Path Planning ◽  
Ongoing Research ◽  
Iterated Function ◽  
Planning Algorithm ◽  
Path Planning Algorithm

Self-affine and stochastic affine transforms of R2 Iterated Function System (IFS) are investigated in this paper for manufacturing non-continuous objects in nature that exhibit fractal nature. A method for modeling and fabricating fractal bio-shapes using machining is presented. Tool path planning algorithm for numerical control machining is presented for the geometries generated by our fractal generation function. The tool path planning algorithm is implemented on a CNC machine, through executing limited number of iteration. This paper describes part of our ongoing research that attempts to break through the limitation of current CAD/CAM and CNC systems that are oriented to Euclidean geometry objects.

A graphical representation of protein based on a novel iterated function system

2014 ◽  
Vol 403 ◽  
pp. 21-28 ◽  
Author(s):  
Tingting Ma ◽  
Yuxin Liu ◽  
Qi Dai ◽  
Yuhua Yao ◽  
Ping-an He
Keyword(s):  
Graphical Representation ◽  
Iterated Function System ◽  
Function System ◽  
Iterated Function

Fractal dimension and iterated function system (IFS) for speech recognition

1992 ◽  
Vol 28 (15) ◽  
pp. 1382 ◽  
Author(s):  
E.L.J. Bohez ◽  
T.R. Senevirathne ◽  
J.A. van Winden
Keyword(s):  
Fractal Dimension ◽  
Speech Recognition ◽  
Iterated Function System ◽  
Function System ◽  
Iterated Function
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