Quaternion Ridgelet Transform and Curvelet Transform

被引:8
|
作者
Ma, Guangsheng [1 ]
Zhao, Jiman [1 ]
机构
[1] Beijing Normal Univ, Minist Educ, Sch Math Sci, Key Lab Math & Complex Syst, Beijing 100875, Peoples R China
基金
中国国家自然科学基金;
关键词
Quaternion Fourier transform; Quaternion ridgelet transform; Reconstruction formulas; Uncertainty principles; Quaternion curvelet transform; FOURIER-TRANSFORM;
D O I
10.1007/s00006-018-0897-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页数:21
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