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A Surface Fitting Image Super-Resolution Algorithm Based on Triangle Mesh Partition

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Data Mining and Big Data (DMBD 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1454))

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Abstract

High-frequency information such as image edges and textures have an important influence on the visual effect of the super-resolution images. Therefore, it is vital to maintain the edge and texture features of the super-resolution image. A surface fitting image super-resolution algorithm based on triangle mesh partitions is proposed in this study. Different from the traditional image interpolation algorithm using quadrilateral mesh, this method reconstructs the fitting surface on the triangle mesh to approximate the original scene surface. LBP algorithm and second-order difference quotient are combined to divide the triangular mesh accurately, and the edge angle is utilized as a constraint to makes the edge of the constructed surface patch more informative. By the area coordinates as weighting coefficients to perform weighted averaging on the surface patches at the vertices of the triangle mesh, the cubic polynomial surface patches are obtained on the triangle mesh. Finally, a global structure sparse regularization strategy is adopted to optimize the initially super-resolution image and further eliminate the artifacts at the image edges and textures. Since the new method proposed in this study utilizes numerous information about local feature (e.g. edges), compared to other state-of-the-art methods, it provides clear edges and textures, and improves the image quality greatly.

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References

  1. Zhang, F., Zhang, X., Qin, X.Y., et al.: Enlarging image by constrained least square approach with shape preserving. J. Comput. Sci. Technol. 30(3), 489–498 (2015)

    Article  MathSciNet  Google Scholar 

  2. Ding, N., Liu, Y.P., Fan, L.W., et al.: Single image super-resolution via dynamic lightweight database with local-feature based interpolation. J. Comput. Sci. Technol. 34(3), 537–549 (2019)

    Article  Google Scholar 

  3. Li, X.M., Zhang, C.M., Yue, Y.Z., et al.: Cubic surface fitting to image by combination. Sci. China Inf. Sci. 53(7), 1287–1295 (2010)

    Article  MathSciNet  Google Scholar 

  4. Maeland, E.: On the comparison of interpolation methods. IEEE Trans. Med. Imag. 7(3), 213–217 (1988)

    Article  Google Scholar 

  5. Parker, J.A., Kenyon, R.V., Troxel, D.E.: Comparison of interpolating methods for image resampling. IEEE Trans. Med. Imag. 2(1), 31–39 (1983)

    Article  Google Scholar 

  6. Hou, H., Andrews, H.: Cubic splines for image interpolation and digital filtering. IEEE Trans. Acoust. Speech Signal Process. 26(6), 508–517 (1978)

    Article  Google Scholar 

  7. Meijering, E.H.W., Niessen, W.J., Viergever, M.A.: Piecewise polynomial kernels for image interpolation: a generalization of cubic convolution. In: Proceedings 1999 International Conference on Image Processing, vol. 3, pp. 647–651 (1999)

    Google Scholar 

  8. Keys, R.: Cubic convolution interpolation for digital image processing. IEEE Trans. Acoust. Speech Signal Process. 29(6), 1153–1160 (1981)

    Article  MathSciNet  Google Scholar 

  9. Zhang, X., Wu, X.: Image interpolation by adaptive 2-D autoregressive modeling and soft-decision estimation. IEEE Trans. Image Process. 17(6), 887–896 (2008)

    Article  MathSciNet  Google Scholar 

  10. Yamaguchi, T., Ikehara, M.: Fast and high quality image interpolation for single-frame using multi-filtering and weighted mean. IEICE Trans. Fundament. Electr. Commun. Comput. Sci. 100(5), 1119–1126 (2017)

    Article  Google Scholar 

  11. Yang, Q., Zhang, Y., Zhao, T., et al.: Single image super-resolution using self-optimizing mask via fractional-order gradient interpolation and reconstruction. ISA Trans. 82, 163–171 (2018)

    Article  Google Scholar 

  12. Liu, Y., Li, X., Zhang, X., et al.: Image enlargement method based on cubic surfaces with local features as constraints. Signal Process. 166, 107266 (2020)

    Article  Google Scholar 

  13. Zhang, Y., Fan, Q., Bao, F., Liu, Y., Zhang, C.: Single-image super-resolution based on rational fractal interpolation. IEEE Trans. Image Process. 27(8), 3782–3797 (2018)

    Article  MathSciNet  Google Scholar 

  14. Zhang, Y., Wang, P., Bao, F., et al.: A single-image super-resolution method based on progressive-iterative approximation. IEEE Trans. Multim. 22(6), 1407–1422 (2020)

    Article  Google Scholar 

  15. Zhang, X., Liu, Q., Li, X., Zhou, Y., Zhang, C.: Non-local feature back-projection for image super-resolution. IET Image Process. 10(5), 398–408 (2016)

    Article  Google Scholar 

  16. Huang, J., Singh, A., Ahuja, N., et al.: Single image super-resolution from transformed self-exemplars. Comput. Vis. Pattern Recogn. 5197–5206 (2015)

    Google Scholar 

  17. Zhang, C.M., et al.: Cubic surface fitting to image with edges as constraints. In: 2013 IEEE International Conference on Image Processing, pp. 1046–1050. IEEE (2013)

    Google Scholar 

  18. Zhang, M., Desrosiers, C.: High-quality image restoration using low-rank patch regularization and global structure sparsity. IEEE Trans. Image Process. 28(2), 868–879 (2018)

    Article  MathSciNet  Google Scholar 

  19. Dong, W., Zhang, L., Lukac, R., Shi, G.: Sparse representation based image interpolation with nonlocal autoregressive modeling. IEEE Trans. Image Process. 22(4), 1382–1394 (2013)

    Article  MathSciNet  Google Scholar 

  20. Timofte, R., De Smet, V., Van Gool, L.: Anchored neighborhood regression for fast example-based super-resolution. In: IEEE International Conference on Computer Vision, pp. 1920–1927 (2013)

    Google Scholar 

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Xu, H., Ye, C., Feng, N., Zhang, C. (2021). A Surface Fitting Image Super-Resolution Algorithm Based on Triangle Mesh Partition. In: Tan, Y., Shi, Y., Zomaya, A., Yan, H., Cai, J. (eds) Data Mining and Big Data. DMBD 2021. Communications in Computer and Information Science, vol 1454. Springer, Singapore. https://doi.org/10.1007/978-981-16-7502-7_8

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  • DOI: https://doi.org/10.1007/978-981-16-7502-7_8

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-7501-0

  • Online ISBN: 978-981-16-7502-7

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