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Image scaling algorithm using multichannel sampling in the linear canonical transform domain

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Abstract

In this paper, we propose a novel image scaling algorithm based on the multichannel sampling in the linear canonical transform domain. In spite of the original image, we also consider the first and second derivatives of an image to improve the quality of the reshaped image. The proposed algorithm utilizes the second derivative sampling formula skilfully derived in the paper. In order to verify the effectiveness of the proposed algorithm, we compare it with three image scaling algorithms, i.e., the nearest neighbor algorithm, the bilinear algorithm and the Papoulis algorithm. Experimental results show the proposed algorithm yields significant improvements over the other three algorithms in performance according to different evaluation criteria.

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Acknowledgments

The authors would like to thank the editor and the anonymous referee for their valuable comments and suggestions that improved quality of this paper. This work was supported by National Natural Science Foundation of China under Grant 61171110 and National Basis Research Program of China under Grant 2013CB329003 and also supported by the Fundamental Research Funds for the Central Universities under Grant K5051370011.

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Authors and Affiliations

  1. Communication Research Center, Harbin Institute of Technology, Harbin, 150001, China

    Yong Li & Xuejun Sha

  2. Department of mathematics, Xidian University, Xi’an, 710071, China

    Deyun Wei

Authors
  1. Yong Li
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  2. Xuejun Sha
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  3. Deyun Wei
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Correspondence to Xuejun Sha.

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Li, Y., Sha, X. & Wei, D. Image scaling algorithm using multichannel sampling in the linear canonical transform domain. SIViP 8, 197–204 (2014). https://doi.org/10.1007/s11760-013-0523-5

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  • DOI: https://doi.org/10.1007/s11760-013-0523-5

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