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math.CA2023★ 1 cited
Quaternion-Valued Wavelets on the Plane: A Construction via the Douglas-Rachford Approach
Neil D. Dizon, Jeffrey A. Hogan
This paper presents a reformulation of the construction of nonseparable multiresolution quaternion-valued wavelets on the plane as a feasibility problem. The constraint sets in the…
cs.CV2023
Holistic Processing of Colour Images Using Novel Quaternion-Valued Wavelets on the Plane
Neil D. Dizon, Jeffrey A. Hogan
Recently, novel quaternion-valued wavelets on the plane were constructed using an optimisation approach. These wavelets are compactly supported, smooth, orthonormal, non-separable…