Abstract
Fractal image compression (FIC) is popular for its fast decoding and resolution independent features. However, the main problem of the FIC is its time-consuming encoding process. Partitioning scheme applied in FIC greatly affect the encoding time. This paper represents a partitioning scheme based on HV partitioning scheme that eliminates the biasing function of the expression of HV scheme to select partitioning line to accelerate encoding method and also eliminates the chance of producing a sub-range whose dimension is less than the minimum range size. As a result, the proposed scheme is 2.97 times faster than HV partitioning scheme based on the images examined and maintains almost same image quality.
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References
M. Nelson, The Data Compression Book, 2nd edn. (India, BPB Publications, 2008)
Y. Fisher, Fractal Image Compression: Theory and Application (Springer Verlag, New York, 1995)
A.E. Jacquin, Image coding based on a fractal theory of iterated contractive image transformations. IEEE Trans. Image Process. 1(1), 18–30 (1992)
M.F. Barnsley, Fractals Everywhere, 2nd edn. (Academic Press, 1993)
J. Wang, N. Zheng, A novel fractal image compression scheme with block classification and sorting based on Pearson’s correlation coefficient. IEEE Trans. Image Process. 22, 3690–3702 (2013)
J. Wang, P. Chen, B. Xi, J. Liu, Y. Zhang, S. Yu, Fast sparse fractal image compression. PLoS One 12(9) (2017)
W.R. Schwartz, H. Pedrini, Improved fractal image compression based on robust feature descriptors. Int. J. Image Graph. 11(04), 571–587 (2011)
Y.-M. Zhou, C. Zhang, Z.-K. Zhang, An efficient fractal image coding algorithm using unified feature and DCT. Chaos Solitons Fract. 12(4), 1823–1830 (1995)
C.-M. Lai, K.-M. Lam, W.-C. Siu, A fast fractal image coding based on kick-out and zero contrast conditions. IEEE Trans. Image Process. 12(11), 1398–1403 (2003)
H.N. Chen, K.L. Chung, J.E. Hung, Novel fractal image encoding algorithm using normalized one-norm and kick-out condition. Image Vis. Comput. 28(3), 518–525 (2010)
R. Distasi, M. Nappi, D. Riccio, A range/domain approximation error-based approach for fractal image compression. IEEE Trans. Image Process. 15, 89–97 (2006)
T. Kovács, A fast classification based method for fractal image encoding. Image Vis. Comput. 26(8), 1129–1136 (2008)
R. Gupta, D. Mehrotra, R.K. Tyagi, Adaptive searchless fractal image compression in DCT domain. Imaging Sci. J. 64(7), 374–380 (2016)
X.-Y. Wang, Y.-X. Wang, J.-J. Yun, An improved no-search fractal image coding method based on a fitting plane. Image Vis. Comput. 28(8), 1303–1308 (2010)
S.K. Roy, S.K. Bandyopadhay, D. Bhattacharyya, T.-H. Kim, Statistical analysis of fractal image coding and fixed size partitioning scheme. Glob. J. Comput. Sci. Technol. (2015)
Y. Fisher, Fractal image compression with quadtrees, in Fractal Image Compression (Springer, 1995), pp. 55–77
U. Nandi, S. Santra, J.K. Mandal, S. Nandi, Fractal image compression with quadtree partitioning and a new fast classification strategy, in Proceedings of the 2015 Third International Conference on Computer, Communication, Control and Information Technology (C3IT) (IEEE, 2015), pp. 1–4
U. Nandi, J.K. Mandal, Fractal image compression with adaptive quadtree partitioning and lossless encoding on the parameters of affine transformations, in Information Systems Design and Intelligent Applications (Springer, 2015), pp. 73–83
U. Nandi, J.K. Mandal, Efficiency of adaptive fractal image compression with archetype classification and its modifications. Int. J. Comput. Appl. 38(2–3), 156–163 (2016)
U. Nandi, J.K. Mandal, Fractal image compression with adaptive quadtree partitioning scheme, in International Conference on Signal, Image Processing and Pattern Recognition (SIPP-2013), Bangalore, India (2013), pp. 289–296
Y. Fisher, S. Menlove. Fractal encoding with HV partitions, in Fractal Image Compression (Springer, 1995), pp. 119–136
U. Nandi, J. Mandal, Fractal image compression using fast context independent HV partitioning scheme, in 2012 International Symposium on Electronic System Design (ISED) (IEEE, 2012), pp. 306–308
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The work is done by using infrastructure of the Dept. of Computer Science, Vidyasagar University, Paschim Medinipur, West Bengal, India.
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Nandi, U., Ghorai, A., Laya, B., Singh, M.M. (2021). A Fast Partitioning Strategy: Its Application to Fractal Image Coding. In: Sherpa, K.S., Bhoi, A.K., Kalam, A., Mishra, M.K. (eds) Advances in Smart Grid and Renewable Energy. ETAEERE ETAEERE 2020 2020. Lecture Notes in Electrical Engineering, vol 691. Springer, Singapore. https://doi.org/10.1007/978-981-15-7511-2_21
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DOI: https://doi.org/10.1007/978-981-15-7511-2_21
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