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A Propagation Control Method Using Codes In The Fractal Deformation

코드를 활용한 프랙탈 변형의 전파 제어 방법

  • 한영덕 (우석대학교 정보보안학과)
  • Received : 2016.01.24
  • Accepted : 2016.02.22
  • Published : 2016.02.20

Abstract

In this paper, we consider an improved deformation method of IFS(iterated function system) fractal using codes of fractal points. In the existing deformation methods, the intermediate results of position dependent partial deformation propagate randomly due to the randomly selected maps of iteration. Therefore, in many cases, the obtained results become somewhat monotonous feeling shapes. To improve these limitations, we propose a method in which the selection of maps are controlled by codes of fractal points. Applying this method, we can obtain interesting fractal deformation conforming with its fractal features. Also, we propose a simple method, incorporating state variables, that can be applied to deformation of some fractal features other than position coordinates.

본 논문에서는 IFS(iterated function system) 프랙탈에서 점의 코드를 활용한 변형의 개선방법을 고려한다. 기존의 변형방법에서는 부분적 변형이 랜덤 반복에 의해 임의로 전파되므로 대개 단조로운 느낌을 주는 모양이 나타나고 있다. 이러한 점을 개선하기 위하여 코드를 활용하여 맵의 선택을 제어하는 방법을 제안한다. 제안된 방법을 적용한 결과 프랙탈의 모양 특성이 적절히 반영된 흥미로운 변형을 얻을 수 있었다. 또한 코드에 따라 변화하는 상태변수를 도입하여 좌표의 변환 외의 다른 속성의 변형을 손쉽게 구현하는 방법도 제안한다.

Keywords

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