科研之友
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摘要
The quaternion analytic signal is a generalization of analytic signal in the quaternion sense. It is constructed by an original signal and its quaternion partial and total Hilbert transforms. The signal feature representation can be provided by the polar form of the quaternion analytic signal, such as the local amplitude and local phase angle, the latter includes the structural information of the original signal. The aim of this work is to study the quaternion analytic signal associate with right-sided quaternion Fourier transform and it applications. Firstly, quaternion analytic signal associate with right-sided quaternion Fourier transform is defined. By using Possion operator, the quaternion analytic signal is extended to the quaternion scale function. The quaternion scale function provides the signal features representation. At last, three novel types of phase and amplitude-based edge detectors are proposed. Comparisons with competing methods on real-world images consistently show the superiority of the proposed methods.
