Decompress Image Using Finite Difference Method
DOI:
https://doi.org/10.29304/jqcm.2022.14.2.999Keywords:
Image Processing,, Discretization of the PDEs Operators,, Finite Difference Method,, MSE,SNR,PSNR, SSIMAbstract
A lot of techniques are represented to have a useful for denoising and in-painting digital images. These techniques are based on a partial differ- ential equations (PDEs). Thus, we need to find the solution of PDEs. In this work, we consider a finite difference method to solve PDEs approxi- mately based on image compression. In addition, we compared the results in different criteria of the errors
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References
[1] Chandler, Damon M, Seven challenges in image quality assessment: past, present, and future research, International Scholarly Research No- tices,Hindawi (2013).
[2] Vijayvargiya, Gaurav and Silakari, Sanjay and Pandey, Rajeev, A survey: various techniques of image compression, arXiv preprint arXiv:1311.6877, (2013).
[3] Taubman, David, High performance scalable image compression with EBCOT, IEEE Transactions on image processing, 9(7)(2013),1158–1170.
[4] Masood, Saleha and Sharif, Muhammad and Yasmin, Mussarat and Raza, Mudassar and Mohsin, Sajjad, Brain image compression: a brief sur- vey, Research Journal of Applied Sciences, Engineering and Technology, 5(1)(2013),49–59.
[5] Son, Chang-Hoon and Kim, Ji-Won and Song, Sung-Gun and Park, Seong- Mo and Kim, Young-Min, Low complexity embedded compression algorithm for reduction of memory size and bandwidth requirements in the JPEG2000 encoder, IEEE Transactions on Consumer Electronics, 56(4)(2010),2421– 2429.
[6] Zhao, Dongyu and Zhu, Shiping and Wang, Fengchao, Lossy hyperspec- tral image compression based on intra-band prediction and inter-band fractal encoding, Computers & Electrical Engineering, 54(2016),494–505.
[7] Engelson, Vadim and Fritzson, Dag and Fritzson, Peter, Lossless compres- sion of high-volume numerical data from simulations, Proc. Data Compres- sion Conference, (2000).
[8] Zhang, Yong and Adjeroh, Donald A, Prediction by partial approximate matching for lossless image compression, IEEE transactions on image pro- cessing, 17(6)(2008),924–935.
[9] Andris, Sarah and Weickert, Joachim and Alt, Tobias and Peter, Pascal, JPEG meets PDE-based Image Compressio, 2021 Picture Coding Symposium (PCS), (2021),1–5.
[10] Chang-Ock Lee, Basic Numerical Methods for Image Process- ing.Department Mathematical Sciences, KAIST, Daejeon, 305-701 Korea.
[11] Markus Peloquin and Leland Jeeris, PDE-based Image Compression. Dec. 18, 2009.
[2] Vijayvargiya, Gaurav and Silakari, Sanjay and Pandey, Rajeev, A survey: various techniques of image compression, arXiv preprint arXiv:1311.6877, (2013).
[3] Taubman, David, High performance scalable image compression with EBCOT, IEEE Transactions on image processing, 9(7)(2013),1158–1170.
[4] Masood, Saleha and Sharif, Muhammad and Yasmin, Mussarat and Raza, Mudassar and Mohsin, Sajjad, Brain image compression: a brief sur- vey, Research Journal of Applied Sciences, Engineering and Technology, 5(1)(2013),49–59.
[5] Son, Chang-Hoon and Kim, Ji-Won and Song, Sung-Gun and Park, Seong- Mo and Kim, Young-Min, Low complexity embedded compression algorithm for reduction of memory size and bandwidth requirements in the JPEG2000 encoder, IEEE Transactions on Consumer Electronics, 56(4)(2010),2421– 2429.
[6] Zhao, Dongyu and Zhu, Shiping and Wang, Fengchao, Lossy hyperspec- tral image compression based on intra-band prediction and inter-band fractal encoding, Computers & Electrical Engineering, 54(2016),494–505.
[7] Engelson, Vadim and Fritzson, Dag and Fritzson, Peter, Lossless compres- sion of high-volume numerical data from simulations, Proc. Data Compres- sion Conference, (2000).
[8] Zhang, Yong and Adjeroh, Donald A, Prediction by partial approximate matching for lossless image compression, IEEE transactions on image pro- cessing, 17(6)(2008),924–935.
[9] Andris, Sarah and Weickert, Joachim and Alt, Tobias and Peter, Pascal, JPEG meets PDE-based Image Compressio, 2021 Picture Coding Symposium (PCS), (2021),1–5.
[10] Chang-Ock Lee, Basic Numerical Methods for Image Process- ing.Department Mathematical Sciences, KAIST, Daejeon, 305-701 Korea.
[11] Markus Peloquin and Leland Jeeris, PDE-based Image Compression. Dec. 18, 2009.
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Published
2022-08-15
How to Cite
ALKHALISSI, J. H., & MAHDI, A. M. (2022). Decompress Image Using Finite Difference Method. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(2), Math Page 88–101. https://doi.org/10.29304/jqcm.2022.14.2.999
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Math Articles
