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GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION

Yıl 2022, Cilt: 10 Sayı: 1, 1 - 10, 25.02.2022

Derya Çelik Ali Deniz Yunus Özdemir

https://doi.org/10.20290/estubtdb.988203

Öz

Fractal image compression is a method to compress images which significantly reduces the storage to keep data of the images, using partial iterated function systems. In this work we generalize classical fractal image compression method to the graph-directed case.

Anahtar Kelimeler

image compression fractals graph-directed fractals

Proje Numarası

19ADP045

Kaynakça

  • [1] Barnsley M. Fractals Everywhere, Academic Press, San Diego, 1988.
  • [2] Barnsley M. Fractal modelling of real world images, in: The Science of Fractal Images, H.-O. Peitgen and D. Saupe (eds.), Springer-Verlag, New York, 1988.
  • [3] Barnsley M, Sloan AD. A better way to compress images, Byte Magazine, 1988.
  • [4] Demir B, Deniz A, Koçak Ş, Ureyen AE. Tube formulas for graph-directed fractals. Fractals 2010; 18: 349–361.
  • [5] Edgar G. Measure, Topology and Fractal Geometry, Springer, New York, 2008.
  • [6] Fischer Y. Fractal Image Compression-Theory and Application, Springer, New York, 1994.
  • [7] Hutchinson JE. Fractals and self similarity. Indiana Univ. Math. J. 1981; 30: 713–747.
  • [8] Jacquin AE. Image coding based on a fractal theory of iterated contractive image transformations. IEEE Trans. Image Processing 1992; 1:18-30.
  • [9] Lu G. Fractal image compression. Signal Processing: Image Communication1993; 5: 327–343.
  • [10] Mauldin RD, Williams SC. Hausdorff dimension in graph directed constructions. Trans. Amer. Math. Soc. 1988; 309: 811–829.

GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION

Yıl 2022, Cilt: 10 Sayı: 1, 1 - 10, 25.02.2022

Derya Çelik Ali Deniz Yunus Özdemir

https://doi.org/10.20290/estubtdb.988203

Öz

Fractal image compression is a method to compress images, which significantly reduces the storage to keep data of the images, using partial iterated function systems. In this work, we generalize the classical fractal image compression method to the graph-directed case.

Fractal image compression is a method to compress images, which significantly reduces the storage to keep data of the images, using partial iterated function systems. In this work, we generalize the classical fractal image compression method to the graph-directed case.

Anahtar Kelimeler

Image compression Fractals Graph-directed fractals

Destekleyen Kurum

Eskişehr Technical University

Proje Numarası

19ADP045

Teşekkür

This work is supported by the Eskişehir Technical University Research Fund Under Contract 19ADP045.

Kaynakça

  • [1] Barnsley M. Fractals Everywhere, Academic Press, San Diego, 1988.
  • [2] Barnsley M. Fractal modelling of real world images, in: The Science of Fractal Images, H.-O. Peitgen and D. Saupe (eds.), Springer-Verlag, New York, 1988.
  • [3] Barnsley M, Sloan AD. A better way to compress images, Byte Magazine, 1988.
  • [4] Demir B, Deniz A, Koçak Ş, Ureyen AE. Tube formulas for graph-directed fractals. Fractals 2010; 18: 349–361.
  • [5] Edgar G. Measure, Topology and Fractal Geometry, Springer, New York, 2008.
  • [6] Fischer Y. Fractal Image Compression-Theory and Application, Springer, New York, 1994.
  • [7] Hutchinson JE. Fractals and self similarity. Indiana Univ. Math. J. 1981; 30: 713–747.
  • [8] Jacquin AE. Image coding based on a fractal theory of iterated contractive image transformations. IEEE Trans. Image Processing 1992; 1:18-30.
  • [9] Lu G. Fractal image compression. Signal Processing: Image Communication1993; 5: 327–343.
  • [10] Mauldin RD, Williams SC. Hausdorff dimension in graph directed constructions. Trans. Amer. Math. Soc. 1988; 309: 811–829.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Derya Çelik Bu kişi benim 0000-0003-2499-791X

Ali Deniz Bu kişi benim 0000-0003-3833-6397

Yunus Özdemir 0000-0002-6890-2997

Proje Numarası 19ADP045
Yayımlanma Tarihi 25 Şubat 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 10 Sayı: 1

Kaynak Göster

APA Çelik, D., Deniz, A., & Özdemir, Y. (2022). GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler, 10(1), 1-10. https://doi.org/10.20290/estubtdb.988203
AMA Çelik D, Deniz A, Özdemir Y. GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. Şubat 2022;10(1):1-10. doi:10.20290/estubtdb.988203
Chicago Çelik, Derya, Ali Deniz, ve Yunus Özdemir. “GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION”. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler 10, sy. 1 (Şubat 2022): 1-10. https://doi.org/10.20290/estubtdb.988203.
EndNote Çelik D, Deniz A, Özdemir Y (01 Şubat 2022) GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 10 1 1–10.
IEEE D. Çelik, A. Deniz, ve Y. Özdemir, “GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION”, Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, c. 10, sy. 1, ss. 1–10, 2022, doi: 10.20290/estubtdb.988203.
ISNAD Çelik, Derya vd. “GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION”. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 10/1 (Şubat 2022), 1-10. https://doi.org/10.20290/estubtdb.988203.
JAMA Çelik D, Deniz A, Özdemir Y. GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2022;10:1–10.
MLA Çelik, Derya vd. “GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION”. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler, c. 10, sy. 1, 2022, ss. 1-10, doi:10.20290/estubtdb.988203.
Vancouver Çelik D, Deniz A, Özdemir Y. GRAPH-DIRECTED FRACTAL IMAGE COMPRESSION. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2022;10(1):1-10.