Statistical Analysis of Fractal Image Coding and Fixed Size Partitioning Scheme

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Samir Bandyopadhyay
Samir Bandyopadhyay
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Swalpa Kumar Roy
Swalpa Kumar Roy
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Samir Kumar Bandyopadhay
Samir Kumar Bandyopadhay
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Debnath Bhattacharyya
Debnath Bhattacharyya
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Tai-Hoon Kim
Tai-Hoon Kim

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Statistical Analysis of Fractal Image Coding and Fixed Size Partitioning Scheme

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Abstract

Fractal Image Compression (FIC) is a state of the art technique used for high compression ratio. But it lacks behind in its encoding time requirements. In this method an image is divided into non-overlapping range blocks and overlapping domain blocks. The total number of domain blocks is larger than the range blocks. Similarly the sizes of the domain blocks are twice larger than the range blocks. Together all domain blocks creates a domain pool. A range block is compared with all possible domains block for similarity measure. So the domain is decimated for a proper domainrange comparison. In this paper a novel domain pool decimation and reduction technique has been developed which uses the median as a measure of the central tendency instead of the mean (or average) of the domain pixel values. However this process is very time consuming.

References

27 Cites in Article
  1. Chong Tong,Minghong Pi (2013). Analysis of a hybrid fractal-predictive-coding compression scheme.
  2. M Barnsley (1988). Fractals Everywhere.
  3. K Falconer (2013). Fractal Geometry: Mathematical Foundations and Applications.
  4. B Benoit,Mandelbrot (1982). The Fractal Geometry of Nature.
  5. N Thao (1996). A hybrid fractal-DCT coding scheme for image compression.
  6. Y Fisher (1995). Fractal Image Compression: Theory and Applications.
  7. M Barnsley,L Hurd (1992). Fractal Image Compression.
  8. A Jacquin (1993). Figure 4: The detection results of the proposed method: (A) original image (B) non-local mean filtering preprocessing result (C) shearlet detection result (D) binarization and refinement result (E) final result..
  9. D Saupe (1996). Fractal Image Compression Via Nearest Neighbor Search.
  10. Behnam Bani-Eqbal (1995). <title>Speeding up fractal image compression</title>.
  11. C Tong,M Pi (2001). Fast Fractal Image Encoding Based on Adaptive Search, Image Processing.
  12. A Lasfar,S Mouline,D Aboutajdine,H Cherifi (2008). Content-based retrieval in fractal coded image databases.
  13. Shen Furao,Osamu Hasegawa (1990). A fast no search fractal image coding method.
  14. Yi-Ming Zhou,Chao Zhang,Zeng-Ke Zhang (2009). An efficient fractal image coding algorithm using unified feature and DCT.
  15. D Duh,J Jeng,S Chen (2005). DCT based simple classification scheme for fractal image compression.
  16. Trieu-Kien Truong,Jyh-Horng Jeng,I Reed,P Lee,A Li (2000). A fast encoding algorithm for fractal image compression using the DCT inner product.
  17. T Cormen,C Leiserson,R Rivest,C Stein (2009). Introduction to Algorithms.
  18. N Ponomarenko,V Lukin,K Egiazarian,J Astola (2002). Modified horizontal vertical partition scheme for fractal image compression.
  19. C Tong,M Wong (1992). Adaptive approximate nearest neighbour search for fractal image compression.
  20. A Jacquin (1989). Image coding based on a fractal theory of iterated contractive image transformations.
  21. Arnaud Jacquin (1990). <title>Fractal image coding based on a theory of iterated contractive image transformations</title>.
  22. B Wohlberg,G Jager (1995). Fast Image Domain Fractal Compression by DCT Domain Block Matching.
  23. S Roy,S Bandyopadhyay,A Mahato,Tai-Hoon Kim (2015). A Speeding Up Fractal Image Compression using Fixed Size Partition and Hierarchical Classification of Sub-Images.
  24. N Bhattacharya,S Roy,U Nandi,S Banerjee (2015). Fractal Image Compression Using Hierarchical Classification of Sub-Images.
  25. D Monro,F Dudbridge (1992). Fractal approximation of image blocks.
  26. D Monro,P Wakefield (null). Zooming with implicit fractals.
  27. A Jacquin (1992). Image coding based on a fractal theory of iterated contractive image transformations.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Samir Bandyopadhyay. 2015. \u201cStatistical Analysis of Fractal Image Coding and Fixed Size Partitioning Scheme\u201d. Global Journal of Computer Science and Technology - F: Graphics & Vision GJCST-F Volume 15 (GJCST Volume 15 Issue F3): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

Keywords
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GJCST-F Classification: I.3.3
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v1.2

Issue date

August 21, 2015

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en
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Fractal Image Compression (FIC) is a state of the art technique used for high compression ratio. But it lacks behind in its encoding time requirements. In this method an image is divided into non-overlapping range blocks and overlapping domain blocks. The total number of domain blocks is larger than the range blocks. Similarly the sizes of the domain blocks are twice larger than the range blocks. Together all domain blocks creates a domain pool. A range block is compared with all possible domains block for similarity measure. So the domain is decimated for a proper domainrange comparison. In this paper a novel domain pool decimation and reduction technique has been developed which uses the median as a measure of the central tendency instead of the mean (or average) of the domain pixel values. However this process is very time consuming.

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Statistical Analysis of Fractal Image Coding and Fixed Size Partitioning Scheme

Swalpa Kumar Roy
Swalpa Kumar Roy
Samir Kumar Bandyopadhay
Samir Kumar Bandyopadhay
Debnath Bhattacharyya
Debnath Bhattacharyya
Tai-Hoon Kim
Tai-Hoon Kim

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