• Indrani Dalui Computer Application Department, Eminent College of Management & Technology, India
  • SurajitGoon Computer Application Department, Eminent College of Management & Technology, India
  • Avisek Chatterjee Computer Application Department, BCDA Collage of Pharmacy & Technology, India




Image Compression, Iterated Function System (IFS), Self-Similarity, Histogram, Encoding Time


Fractal image compression depends on self-similarity, where one segment of a image is like the other one segment of a similar picture. Fractal coding is constantly connected to grey level images. The simplest technique to encode a color image by gray- scale fractal image coding algorithm is to part the RGB color image into three Channels - red, green and blue, and compress them independently by regarding each color segment as a specific gray-scale image. The colorimetric association of RGB color pictures is examined through the calculation of the relationship essential of their three-dimensional histogram. For normal color images, as a typical conduct, the connection necessary is found to pursue a power law, with a non- integer exponent type of a given image. This conduct recognizes a fractal or multiscale self-comparable sharing of the colors contained, in average characteristic pictures. This finding of a conceivable fractal structure in the colorimetric association of regular images complement other fractal properties recently saw in their spatial association. Such fractal colorimetric properties might be useful to the characterization and demonstrating of natural images, and may add to advance in vision. The outcomes got demonstrate that the fractal-based compression for the color image fills in similarly with respect to the color image.


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Barnsley M.F, Fractal Image Compression, Academic Press. San Diego, 1998.

Jacquin A., Fractal Theory of Iterated Markov Operators with Applications to Digital Image Coding, Doctoral Thesis, Georgia Institute of Technology, 1999.

John E. Hutchinson publishes "Fractals and Self Similarity", 1981.R.D. Boss, E.W. Jacobs, Fractals-Based Image Compression, NOSC Technical Report 1315, Sept. 1998. Naval Ocean Systems Center, San Diego CA92152-5000.

Benoit Mandelbrot finishes the first edition of "The Fractal Geometry of Nature", 1977.

Ankit Garg, Ashish Negi, Akshat Agrawal, Bhupendra Latwal,” Geometric Modelling of Complex Objects Using Iterated Function System”, International journal of scientific & technology research volume 3, issue 6, june 2014.

S.k Mitra, C.A Murthy,” PartitinodItrative Function System: A New Tool For Digital Imaging”,IETE Journal of Research ,Vol 46, No 5,2000. DOI: https://doi.org/10.1080/03772063.2000.11416168

Ankit Garg, Akshat Agrawal and Ashish Negi,” A Review on Fractal Image Compression,” International Journal of Computer Applications (0975 – 8887), Volume 85 – No 4, January 2014. DOI: https://doi.org/10.5120/14830-3081

Shweta Pandey, Megha Seth “Hybrid Fractal Image Compression Using Quadtree Decomposition with Huffman Coding” International Journal of Science and Research (IJSR), ISSN (Online): 2319- 7064, Impact Factor 2012.

Dr T. Meyyappan, SM. Thamarai and N.M. JeyaNachiaban,” digital image compression method for bitmap images”, The International Journal of Multimedia & Its Applications (IJMA)Vol.3, No.4, November, 2011. DOI: https://doi.org/10.5121/ijma.2011.3407

Michael Barnsley and Alan D. Sloan wrote the article "A Better Way to Compress Images" published in Byte, claiming fractal Compression ratios of 10 000 to 1, 1988.

Ahmed A. A. Esmin1,2 and Stan Matwin,” A Hybrid Particle Swarm Optimization Algorithm With Genetic Mutation,” International Journal of Innovative Computing, Information and Control, Volume 9, Number 5, May 2013.

Lian, S., Secure Fractal Image Coding. France Telecom R&D Beijing, 2 Science Institute South Rd., Beijing, Springer-Verlag, Berlin, 2007.

Y Chakrapani and K Soundera Rajan,” Implementation of fractal image compression employing artificial neural networks,” World Journal of Modelling and Simulation, Vol. 4, No. 4, 2008.

Ali Nodehi, Ghazali Sulong, Mznah Al-Rodhaan, Abdullah Al-Dhelaan, Amjad Rehman and Tanzila Saba,” Intelligent fuzzy approach for fast fractal image compression,” EURASIP Journal on Advances in Signal Processing,2014, 2014:112. DOI: https://doi.org/10.1186/1687-6180-2014-112




How to Cite

Dalui, I., SurajitGoon, & Chatterjee, A. (2019). A NEW APPROACH OF FRACTAL COMPRESSION USING COLOR IMAGE . International Journal of Engineering Technologies and Management Research, 6(6), 74–71. https://doi.org/10.29121/ijetmr.v6.i6.2019.395