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Color Image Interpolation Combined with Rough Sets Theory

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Abstract

A new realtime interpolation algorithm for color image is presented. The algorithm is based on the concept of indiscernibility relation in rough sets (RS) theory. By applying the concept of upper and lower approximation based on the continuity of images, the image is first divided into homogenous area, edge pixels and isolated pixels. Then \(B\acute{e}zier\) surface interpolation is further achieved using the information of classification. Besides emulation, the technology has been applied to the visual presenter with low-resolution image sensor. Results demonstrate that the new algorithm improves substantially the subjective and objective quality of the interpolated images over conventional interpolation algorithms, and meets the requirements of real time image processing. The algorithm represents an attempt to incorporate RS in image processing.

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References

  1. Darwish, A.M.: Adaptive Resampling Algorithm for Image Zooming. In: Proc. SPIE: Image and Video Processing, San Jose, CA, USA, vol. 2666, pp. 131–144 (1996)

    Google Scholar 

  2. Jensen, K., Anastassiou, D.: Subpixel Edge Localization and The Interpolation of Still Image. IEEE Transactions on Image Processing 4(3), 285–295 (1995)

    Article  Google Scholar 

  3. Martucci, S.A.: Image Resizing in the Discrete Cosine Transform Domain. In: International Conference on Image Processing, Washington, DC, USA, vol. 2, pp. 244–247 (1995)

    Google Scholar 

  4. Schultz, R.R., Stevenson, R.L.: A Bayesian Approach to Image Expansion for Improved Definition. IEEE Transactions on Image Processing 3(3), 233–242 (1994)

    Article  Google Scholar 

  5. Li, X., Michael, T.O.: New edge-directed interpolation. IEEE Transactions on Image Processing 10(10), 1521–1527 (2001)

    Article  Google Scholar 

  6. Ahmed, F., Gustafsou, S.C.: High Fidelity Image Interpolation Using Radial Basis Function Neural Networks. In: Proc. IEEE National Aerospace and Electronics Conf., Dayton, OH, USA, vol. 2, pp. 588–592 (1995)

    Google Scholar 

  7. Plaziac, N.: Image Interpolation Using Neural Networks. IEEE Transactions on Image Processing 8(11), 1647–1651 (1999)

    Article  Google Scholar 

  8. Candoncia, F.M., Principe, J.C.: Super Resolution of Images Based on Local Correlations. IEEE Transaction on Neural Networks 10(2), 372–380 (1999)

    Article  Google Scholar 

  9. Behnke, S.: Hierarchical Neural Networks for Image Interpretation. LNCS, vol. 2766. Springer, Heidelberg (2003)

    MATH  Google Scholar 

  10. Wojcik, Z.M.: Rough Sets for Intelligent Image Filtering. In: Proceedings of the International Workshop on Rough Sets and Knowledge Discovery, Banff, Canada, pp. 399–410 (1993)

    Google Scholar 

  11. Shek, S., Lau, Y.: Image Segmentation Based on the Indiscernibility Relation. In: Proceedings of the International Workshop on Rough Sets and Knowledge Discovery, Banff, Canada, pp. 439–451 (1993)

    Google Scholar 

  12. Nguye, J.: Classication Based on Optimal Feature Extraction and the Theory of Rough Sets. In: SDSU, San Diego, CA, USA, pp. 439–451 (1995)

    Google Scholar 

  13. Pawlak, Z.: Rudiments of rough sets. International Jounal of Computing and Information Sciences 177, 3–27 (2007)

    MATH  MathSciNet  Google Scholar 

  14. Pawlak, Z.: Rough sets: Some extensions. International Jounal of Computing and Information Sciences 177, 28–40 (2007)

    MATH  MathSciNet  Google Scholar 

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Guoyin Wang Tianrui Li Jerzy W. Grzymala-Busse Duoqian Miao Andrzej Skowron Yiyu Yao

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Liang, F., Xie, K. (2008). Color Image Interpolation Combined with Rough Sets Theory. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2008. Lecture Notes in Computer Science(), vol 5009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79721-0_35

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  • DOI: https://doi.org/10.1007/978-3-540-79721-0_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79720-3

  • Online ISBN: 978-3-540-79721-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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