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Some recent methods, like the Empirical Mode Decomposition (EMD), propose to decompose a signal accordingly to its contained information. Even though its adaptability seems useful for many applications, the main issue with this approach is its lack of theory. This paper presents a new approach to build adaptive wavelets. The main idea is to extract the
Jérôme Gilles
exaly +4 more sources
Application of multi-dimensional wavelet transform to fluid mechanics
: This paper first reviews the application research works of wavelet transform on the fluid mechanics. Then the theories of continuous wavelet transform and multi-dimensional orthogonal (discrete) wavelet transform, including wavelet multiresolution ...
Akira Rinoshika, Hiroka Rinoshika
doaj +3 more sources
The Monogenic Wavelet Transform [PDF]
This paper extends the 1-D analytic wavelet transform to the 2-D monogenic wavelet transform. The transformation requires care in its specification to ensure suitable transform coefficients are calculated, and it is constructed so that the wavelet transform may be considered as both local and monogenic. This is consistent with defining the transform as
Sofia C Olhede
exaly +2 more sources
On the Hilbert Transform of Wavelets [PDF]
Appears in IEEE Transactions on Signal Processing, vol. 59, no. 4, pp.
Kunal Narayan Chaudhury, Michael Unser
openaire +2 more sources
Novel Uncertainty Principles Concerning Linear Canonical Wavelet Transform
The linear canonical wavelet transform is a nontrivial generalization of the classical wavelet transform in the context of the linear canonical transform.
Mawardi Bahri +1 more
doaj +1 more source
Sparse-View CT Reconstruction Based on a Hybrid Domain Model with Multi-Level Wavelet Transform
The reconstruction of sparsely sampled projection data will generate obvious streaking artifacts, resulting in image quality degradation and affecting medical diagnosis results. Wavelet transform can effectively decompose directional components of image,
Jielin Bai, Yitong Liu, Hongwen Yang
doaj +1 more source
Personal identification can be done by using face, fingerprint, palm prints, eye’s retina, or voice recognition which commonly called as biometric methods. Face recognition is the most popular and widely used among those biometric methods. However, there
Afrizal Laksita Akbar +2 more
doaj +1 more source
Application of Wavelet Transform to Urysohn-Type Equations
This paper deals with convolution-type Urysohn equations of the first kind. Finding a solution for such equations is an ill-posed problem. For it to be solved, regularization algorithms and the continuous wavelet transform are used.
V. Lukianenko, M. Kozlova, V. Belozub
doaj +1 more source
The Berkeley Wavelet Transform: A Biologically Inspired Orthogonal Wavelet Transform [PDF]
We describe the Berkeley wavelet transform (BWT), a two-dimensional triadic wavelet transform. The BWT comprises four pairs of mother wavelets at four orientations. Within each pair, one wavelet has odd symmetry, and the other has even symmetry. By translation and scaling of the whole set (plus a single constant term), the wavelets form a complete ...
Ben D. B. Willmore +3 more
openaire +4 more sources
A Review of Wavelet Analysis and Its Applications: Challenges and Opportunities
As a general and rigid mathematical tool, wavelet theory has found many applications and is constantly developing. This article reviews the development history of wavelet theory, from the construction method to the discussion of wavelet properties.
Tiantian Guo +5 more
doaj +1 more source

