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Quaternion Ridgelet Transform and Curvelet Transform

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Abstract

In this article, we study the quaternion ridgelet transform and curvelet transform associated to the quaternion Fourier transform (QFT). We prove some properties related to such transforms, including reconstruction formulas, reproducing kernels and uncertainty principles.

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Acknowledgements

The authors would like to express their deep thanks to the referees for their carefully reading and constructive suggestions which do improve the quality of this paper.

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Authors and Affiliations

  1. School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, 100875, China

    Guangsheng Ma & Jiman Zhao

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  1. Guangsheng Ma
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  2. Jiman Zhao
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Correspondence to Jiman Zhao.

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Eckhard Hitzer.

This work is supported by National Natural Science Foundation of China (Grant Nos. 11471040 and 11761131002).

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Ma, G., Zhao, J. Quaternion Ridgelet Transform and Curvelet Transform. Adv. Appl. Clifford Algebras 28, 80 (2018). https://doi.org/10.1007/s00006-018-0897-0

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  • DOI: https://doi.org/10.1007/s00006-018-0897-0

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