Skip to main content
Log in

Multi-level fuzzy transforms image compression

  • Original Research
  • Published:
Journal of Ambient Intelligence and Humanized Computing Aims and scope Submit manuscript

Abstract

We present a new multi-level image compression method based on fuzzy transforms in which the image is decomposed in levels and afterwards each level-image is compressed as well. Unlike the traditional fuzzy transform image compression method, the proposed algorithm allows to check the quality of the reconstructed image at every level. Unlike the classical image compression F-transform algorithm, our method allows to control the quality of the reconstructed image, to be used for applications in which a high quality of the decoded image is necessary. We compare our method with the single level fuzzy transform, DCT, DWT, JPEG, JPEG2K algorithms in terms of quality of the reconstructed image and CPU coding/decoding time. The results show that the CPU time obtained in our method are comparable (resp., better) with the ones obtained via DCT, JPEG, JPEG2K (resp., DWT) algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Ahanonu E, Marcellin M, Bilgin A (2018) Lossless image compression using reversible integer wavelet transforms and convolutional neural networks 2018 Data Compression Conference, Snowbird, pp. 395–395. https://doi.org/10.1109/DCC.2018.00048

  • Boiangiu CA, Cotofana MV, Naiman A, Lambru C (2016) A generalized Laplacian pyramid aimed at image compression. J Inf Syst Oper Manag 10(2):327–335

    Google Scholar 

  • Chowdhury MMH, Khatun A (2012) Image compression using discrete wavelet transform. Int J Comput Sci Issues 9(4):327–330

    Google Scholar 

  • Di Martino F, Sessa S (2007) Compression and decompression of images with discrete fuzzy transforms. Inf Sci 177:2349–2362

    Article  MathSciNet  MATH  Google Scholar 

  • Di Martino F, Sessa S (2017) Complete image fusion method based on fuzzy transforms. Soft Comput. https://doi.org/10.1007/s00500-017-2929-4.

    Google Scholar 

  • Di Martino F, Loia V, Perfilieva I, Sessa S (2008) An image coding/decoding method based on direct and inverse fuzzy transforms. Int J Approx Reasoning 48(1):110–131

    Article  MATH  Google Scholar 

  • Di Martino F, Loia V, Sessa S (2010a) A segmentation method for images compressed by fuzzy transforms. Fuzzy Sets Syst 161:56–74

    Article  MathSciNet  MATH  Google Scholar 

  • Di Martino F, Loia V, Sessa S (2010b) Fuzzy transforms for compression and decompression of colour videos. Inf Sci 180:3914–3931

    Google Scholar 

  • Di Martino F, Loia V, Sessa S (2012) Fragile watermarking tamper detection with images compressed by fuzzy transform. Inf Sci 195:62–90

    Article  Google Scholar 

  • Di Martino F, Hurtik P, Perfilieva I, Sessa S (2014) A color image reduction based on fuzzy transforms. Inf Sci 266:101–111

    Article  Google Scholar 

  • Hodakova P, Perfilieva I, Dankova M, Vajgl M (2011) F-transform based image fusion. In: Ukimura O (ed) Image fusion. InTech, Rijeka, pp. 3–22

    Google Scholar 

  • Ispas C, Boiangiu CA (2017) An image compression scheme based on Laplacian Pyramid. J Inf Syst Oper Manag 11(2):350–358

    Google Scholar 

  • Karthikeyan C, Palanisamy C (2018) An efficient image compression method by using optimized discrete wavelet transform and huffman encoder. J Comput Theor Nanosci 15(1):289–298

    Article  Google Scholar 

  • Khan UR, Ahmed S, Nazeer T (2017) Wavelet based image compression techniques: comparative analysis and performance evaluation. Int J Emerg Technol Eng Res 5(9):9–13

    Google Scholar 

  • Mallat S (2009) A wavelet tour of signal processing: the sparse way, 3 Edn. Academic Press, Burlington

    MATH  Google Scholar 

  • Paris S, Hasinoff SV, Kautz J (2015) Local Laplacian filters: edge-aware image processing with a Laplacian pyramid. Commun ACM CACM 58(3):81–91

    Article  Google Scholar 

  • Perfilieva I (2006) Fuzzy transforms. Fuzzy Sets Syst 157:993–1023

    Article  MathSciNet  MATH  Google Scholar 

  • Perfilieva I (2007) Fuzzy transform in image compression and fusion. Acta Math Univ Ostrav 15:27–37

    MathSciNet  MATH  Google Scholar 

  • Perfilieva I, Dankova M (2008) Image fusion on the basis of fuzzy transforms. Proceedings of the 8th International FLINS Conference on Computational Intelligence in Decision and Control, Madrid, pp. 471–476

  • Perfilieva I, De Baets B (2010) Fuzzy transforms of monotone functions with application to image compression. Inf Sci 180:3304–3315

    Article  MathSciNet  MATH  Google Scholar 

  • Qureshi MA, Deriche M (2016) A new wavelet based efficient image compression algorithm using compressive sensing. Multimed Tools Appl 75:6737–6754

    Article  Google Scholar 

  • Song M-S (2006) Wavelet image compression. Contemp Math 414:41–73

    Article  MathSciNet  MATH  Google Scholar 

  • Toet A (1989) A morphological pyramidal image decomposition. Pattern Recogn Lett 9(4):255–261

    Article  MATH  Google Scholar 

  • Uchida N, Okutake T, Yamamoto N (2017) Image recognitions of collaborative drones’ security controls for FPV systems. Int J Space Based Situated Comput 7(3):129–135

    Article  Google Scholar 

  • Walker JS, Nguyen TQ (2001) Wavelet-based image compression (Chap. 6). In: Rao KR et al (ed) The transform and data compression handbook. CRC Press LLC, Boca Raton

    Google Scholar 

  • Wang Y. Du y., Cheng X, Liu Z, Lin K (2016) Degradation and encryption for outsourced PNG images in cloud storage. Int J Grid Utility Comput 7(1):22–28

    Article  Google Scholar 

Download references

Acknowledgements

This work was written under the auspices of INDAM-GCNS (Italy).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ferdinando Di Martino.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Di Martino, F., Sessa, S. Multi-level fuzzy transforms image compression. J Ambient Intell Human Comput 10, 2745–2756 (2019). https://doi.org/10.1007/s12652-018-0971-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12652-018-0971-4

Keywords

Navigation