Abstract
In this paper, we propose a class of 2D nonuniform directional filter banks (DFBs) with checkboard frequency partitioning. It is constructed by cascading 1D nonuniform filter banks and 2D quadrant filter bank, which can efficiently separate two different directional subbands mixed in one frequency subband. Since the involved 1D nonuniform filter banks and 2D quadrant filter bank are both non-redundant, the resulted 2D nonuniform DFBs also have the non-redundancy property, which is extremely crucial to the application of image nonlinear approximation. In the experiments, we apply the designed 2D checkboard nonuniform DFB to decompose the input image to validate its capability of extracting directions. Further by choosing certain percent of large coefficients to perform the reconstruction, the experiment results show that the proposed nonuniform checkboard DFBs have better nonlinear approximation performance than the conventional wavelet transform and uniform checkboard DFBs.
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Acknowledgment
This work is supported by the National Natural Science Foundation of China under Grant No. 61631016, and the Fundamental Research Funds for the Central Universities under Grant Nos. 2018XNG1824 and YLSZ180226.
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Zhong, W., Xia, K., Fang, L., Ye, L., Zhang, Q. (2019). Design of 2D Checkboard Nonuniform Directional Filter Banks and Its Application to Image Nonlinear Approximation. In: Zhai, G., Zhou, J., An, P., Yang, X. (eds) Digital TV and Multimedia Communication. IFTC 2018. Communications in Computer and Information Science, vol 1009. Springer, Singapore. https://doi.org/10.1007/978-981-13-8138-6_4
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DOI: https://doi.org/10.1007/978-981-13-8138-6_4
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