Journal ArticleDOI
Denoising in digital speckle pattern interferometry using wave atoms
TLDR
An effective method for speckle noise removal in digital Speckle pattern interferometry is presented, which is based on a wave-atom thresholding technique that improves the sparse representation of fringe patterns when compared with traditional expansions.Abstract:
We present an effective method for speckle noise removal in digital speckle pattern interferometry, which is based on a wave-atom thresholding technique. Wave atoms are a variant of 2D wavelet packets with a parabolic scaling relation and improve the sparse representation of fringe patterns when compared with traditional expansions. The performance of the denoising method is analyzed by using computer-simulated fringes, and the results are compared with those produced by wavelet and curvelet thresholding techniques. An application of the proposed method to reduce speckle noise in experimental data is also presented.read more
Citations
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Journal ArticleDOI
Strategies for reducing speckle noise in digital holography
Vittorio Bianco,Pasquale Memmolo,Marco Leo,Silvio Montresor,Cosimo Distante,Melania Paturzo,Pascal Picart,Bahram Javidi,Pietro Ferraro +8 more
TL;DR: A broad discussion about the noise issue in DH is provided, with the aim of covering the best-performing noise reduction approaches that have been proposed so far and quantitative comparisons among these approaches will be presented.
Journal ArticleDOI
Quantitative appraisal for noise reduction in digital holographic phase imaging
Silvio Montresor,Pascal Picart +1 more
TL;DR: There exists an anti-correlation between the phase error and the quality index which indicates that the phase errors are mainly structural distortions in the fringe pattern and the signal-to-noise ratio gain has been observed.
Proceedings ArticleDOI
Curvelets and wave atoms for mirror-extended images
Laurent Demanet,Lexing Ying +1 more
TL;DR: Variants of both the digital curvelet transform, and the digital wave atom transform, which handle the image boundaries by mirror extension are presented, which extend the range of applicability of curvelets and wave atoms to situations where periodization at the boundaries is uncalled for.
Journal ArticleDOI
Normalization of fringe patterns using the bidimensional empirical mode decomposition and the Hilbert transform
TL;DR: A data-driven technique to perform bias suppression and modulation normalization of fringe patterns using a bidimensional empirical mode decomposition method and the partial Hilbert transform to characterize the local amplitude of the modes in order to perform the normalization.
Journal ArticleDOI
Speckle Noise Reduction of Medical Ultrasound Images using Bayesshrink Wavelet Threshold
K. Karthikeyan,C. Chandrasekar +1 more
TL;DR: Experimental results prove that the proposed method to reduce speckle noise from ultrasonic devices is efficient in reaching convergence quickly and producing quality denoised images.
References
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Journal ArticleDOI
New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities
TL;DR: This paper introduces new tight frames of curvelets to address the problem of finding optimally sparse representations of objects with discontinuities along piecewise C2 edges.
Journal ArticleDOI
Determination of interferometer phase distributions by use of wavelets.
TL;DR: A new technique for directly extracting phase gradients from two-dimensional (2-D) interferometer fringe data is presented, capable of extracting the full 2-D phase distribution from a single image.
Journal ArticleDOI
Comparative study of wavelet thresholding methods for denoising electronic speckle pattern interferometry fringes
TL;DR: It is shown that the wavelet subband removal method reduces speckle noise and maintains image features more effectively than theWavelet shrinkage techniques based on soft and hard thresholding.
DissertationDOI
Curvelets, Wave Atoms, and Wave Equations
TL;DR: It is argued that two specific wave packet families---curvelets and wave atoms---provide powerful tools for representing linear systems of hyperbolic differential equations with smooth, time-independent coefficients, and it is proved that the matrix representation of the Green's function is sparse, well organized, and well organized.
Journal ArticleDOI
Determination of strains from fringe patterns using space-frequency representations
TL;DR: A new approach to the retrieval of fringe pattern frequency information is introduced, where strain information is extracted from fringe patterns by using either short-time Fourier transforms or wavelets.