Fractals are among the most exciting and intriguing mathematical objects ever discovered. Because of the spectacular development of technology - and particularly computers and computer science - during the last decades, they have become very popular not only in scientific and technological domains but also in mass media related fields such as advertising, computer art, computer design, computer animation and many others. Nowadays there is a wealth of programs and tools to generate fractals by computer. However, none of them is able to yield high-quality graphical output to be readily embedded into standard LaTeX source code in a text-like form. This paper is aimed at filling this gap by introducing a new and freely available KETPic add-on for generating and rendering IFS fractal objects. This new software, developed in the popular scientific program Matlab, generates LaTeXreadable code so that image files are no longer invoked nor required. The resulting files are astonishingly small when compared with their image file counterparts, thus leading to higher compression ratios than other conventional formats such as JPEG, GIF, PNG, EPS and the like. In addition, since IFS fractals are auto-similar they still offer better quality. In fact, a great advantage of this method is that any final image encoded as a collection of IFS becomes resolution independent and hence it can be enlarged at will in a lossless fashion. This paper describes our program and gives some examples to illustrate the excellent performance of our approach.
목차
Abstract 1. Introduction 2. Iterated Function Systems 3.1 Basic definitions 2.2 Chaos game 2.3 Optimal choice of probabilities 3. The Program 3.1 System components 3.2 Implementation Issues 3.3 Session Workflow 4. Illustrative Examples 5. Conclusions and Future Work 6. References
키워드
Fractal geometryIterated Function Systemschaos gameKETpicMatlabLaTeXcomputer algebra systemsmathematical visualizationscientific artwork.
저자
Akemi Gálvez [ Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros ]
Andres Iglesias [ Department of Applied Mathematics and Computational Sciences, University of Cantabria, Avda. de los Castros ]
Setsuo Takato [ Department of Mathematics, Faculty of Pharmaceutical Sciences, Toho University ]
보안공학연구지원센터(IJFGCN) [Science & Engineering Research Support Center, Republic of Korea(IJFGCN)]
설립연도
2006
분야
공학>컴퓨터학
소개
1. 보안공학에 대한 각종 조사 및 연구
2. 보안공학에 대한 응용기술 연구 및 발표
3. 보안공학에 관한 각종 학술 발표회 및 전시회 개최
4. 보안공학 기술의 상호 협조 및 정보교환
5. 보안공학에 관한 표준화 사업 및 규격의 제정
6. 보안공학에 관한 산학연 협동의 증진
7. 국제적 학술 교류 및 기술 협력
8. 보안공학에 관한 논문지 발간
9. 기타 본 회 목적 달성에 필요한 사업
간행물
간행물명
International Journal of Future Generation Communication and Networking
간기
격월간
pISSN
2233-7857
수록기간
2008~2016
십진분류
KDC 505DDC 605
이 권호 내 다른 논문 / International Journal of Future Generation Communication and Networking vol.3 no.2