We treat the quaternionic Fourier transform (QFT) applied to quaternion fields and
investigate QFT properties useful for applications. Different forms of the QFT lead us to …

Traditional sparse image models treat color image pixel as a scalar, which represents color
channels separately or concatenate color channels as a monochrome image. In this paper …

The purpose of this article is to review what has been written on what other authors have
called quaternion wavelet transforms (QWTs): there is no consensus about what these …

Traditional sparse representation models treat color image either represent color channels
independently using the monochromatic model or concatenate color channels using the …

General convolution theorems for two‐dimensional quaternion Fourier transforms (QFTs)
are presented. It is shown that these theorems are valid not only for real‐valued functions …

Solar pores are efficient magnetic conduits for propagating magnetohydrodynamic wave
energy into the outer regions of the solar atmosphere. Pore observations often contain …

A two-dimensional (2D) quaternion Fourier transform (QFT) defined with the kernel is
proposed. Some fundamental properties, such as convolution, Plancherel and vector …

In recent years, the two‐dimensional (2D) quaternion Fourier and quaternion linear
canonical transforms have been the focus of many research papers. In the present paper …

Recently a generalization of the quaternion Fourier transform over quaternion domains so-
called the quaternion domain Fourier transform (QDFT) has been introduced, including its …

A definition of the two‐dimensional quaternion linear canonical transform (QLCT) is
proposed. The transform is constructed by substituting the Fourier transform kernel with the …