Atomic Functions are widely used in different applications in image processing, pattern recognition, computational physics and also in the digital ...
Abstract. Atomic Functions are widely used in different applications in image processing, pattern recognition, computational physics and also in.
This chapter presents a novel quaternion wavelet transform using the atomic function. Atomic functions are compactly supported and infinitely differentiable ...
A Quaternionic Atomic Function Wavelet as a new quaternionic image wavelet transform that has a real part and three imaginary parts of the Quaternion Atomic ...
[PDF] Quaternion Atomic Phase Magnification for 2D and 3D Motion
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Abstract. The phase computation is used in many applications of signal and image processing such as edge, line, symmetry detection, image analysis and.
In mathematics, quaternionic analysis is the study of functions with quaternions as the domain and/or range.
Missing: Signal Atomic
In the case of 1D signals, the analytic signal is typically computed using the Hilbert transform. Such complex representation allows us to compute the phase and ...
Quaternions in Signal and Image Processing - Nxtbook Media
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The main aim of this article is to counter this misconception and to demystify the use of quaternion algebra for solving problems in signal and image ...
We investigate the fundamental properties of quaternion linear canonical wavelet transform including Parseval's formula, energy conservation, inversion ...
... Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals.- 4 Quaternionic Local Phase for Low-level Image Processing Using Atomic Functions.