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Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7257
Abstract: The total variation model performs very well for removing noise while preserving edges. However, it gives a piecewise constant solution which often leads to the staircase effect, consequently small details such as textures are filtered…
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Keywords:
order;
image;
variation model;
model ... See more keywords
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Published in 2020 at "Scientific Reports"
DOI: 10.1038/s41598-020-73342-3
Abstract: Total generalized variation models have recently demonstrated high-quality denoising capacity for single image. In this paper, we present an accurate denoising method for depth map. Our method uses a weighted second-order total generalized variational model…
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Keywords:
depth;
order;
total generalized;
second order ... See more keywords
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Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2944173
Abstract: In this paper, we propose a new high-order total variation regularized model with box constraint for image compressive sensing reconstruction. Because of the separable structure of this model, we can easily decompose into three subproblems…
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Keywords:
variation regularized;
total variation;
alternating minimization;
compressive sensing ... See more keywords
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Published in 2022 at "IEEE Transactions on Instrumentation and Measurement"
DOI: 10.1109/tim.2022.3160550
Abstract: The present study focuses on the performance upgradation of a table-top computed tomography (CT) scanning instrument. The size restriction of the detectors of table-top CT scanner imposes limitation on the allowable size of the object…
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Keywords:
resolution;
super resolution;
order total;
higher order ... See more keywords
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Published in 2021 at "Journal of Electronic Imaging"
DOI: 10.1117/1.jei.30.1.013006
Abstract: Abstract. We propose the fractional-order total variation (TV) algorithm with nonlocal self-similarity for image reconstruction in compressed sensing to alleviate texture details deterioration and eliminate staircase artifacts, which results from the TV algorithms. The Grünwald–Letnikov…
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Keywords:
total variation;
order;
similarity;
order total ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030101
Abstract: In recent years, the fractional-order derivative has achieved great success in removing Gaussian noise, impulsive noise, multiplicative noise and so on, but few works have been conducted to remove Cauchy noise. In this paper, we…
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Keywords:
total variation;
cauchy noise;
truncated fractional;
order total ... See more keywords