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Partial Differential Equation (PDE)-based approaches have gained significant attention in image despeckling due to their strong capability to preserve structural details while suppressing noise. However, conventional second-order PDE models…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Manish Kumar , Rajendra K. Ray

Second-order PDE models have been widely used for suppressing multiplicative noise, but they often introduce blocky artifacts in the early stages of denoising. To resolve this, we propose a fourth-order nonlinear PDE model that integrates…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Rajendra K. Ray , Manish Kumar

In this work, a gray level indicator based non-linear telegraph diffusion model is presented for multiplicative noise removal problem. Most of the researchers focus only on diffusion equation-based model for multiplicative noise removal…

Numerical Analysis · Mathematics 2019-08-08 Sudeb Majee , Rajendra K Ray , Ananta K Majee

In real-world scenarios, image defogging is an inverse problem due to unknown scene depth, atmospheric scattering, and the common absence of ground truth . To resolve the issue, we propose a hybrid defogging model that integrates a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Manish Kumar , Rajendra K. Ray

Speckle noise suppression is a challenging and crucial pre-processing stage for higher-level image analysis. In this work, a new attempt has been made using telegraph total variation equation and fuzzy set theory for speckle noise…

Image and Video Processing · Electrical Eng. & Systems 2019-08-07 Sudeb Majee , Subit K Jain , Rajendra K Ray , Ananta K Majee

Speckle is a multiplicative noise which affects all coherent imaging modalities including Synthetic Aperture Radar (SAR) images. The presence of speckle degrades the image quality and adversely affects the performance of SAR image…

Image and Video Processing · Electrical Eng. & Systems 2023-06-21 Malsha V. Perera , Nithin Gopalakrishnan Nair , Wele Gedara Chaminda Bandara , Vishal M. Patel

In this article, we consider a non-linear hyperbolic-parabolic coupled system based on telegraph diffusion framework applied to image despeckling. A separate equation is used to calculate the edge variable, which improves the quality of the…

Analysis of PDEs · Mathematics 2019-08-14 Sudeb Majee , Rajendra K. Ray , Ananta K. Majee

An efficient despeckling method using a quantum-inspired adaptive threshold function is presented for reducing noise of ultrasound images. In the first step, the ultrasound image is decorrelated by an spectrum equalization procedure due to…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Hamid Reza Shahdoosti

Ultrasound imaging is widely used for real-time, noninvasive diagnosis, but speckle and related artifacts reduce image quality and can hinder interpretation. We present a diffusion-based ultrasound despeckling method built on the Image…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Shuoqi Chen , Yujia Wu , Geoffrey P. Luke

In this paper, we present a telegraph diffusion model with variable exponents for image despeckling. Moving beyond the traditional assumption of a constant exponent in the telegraph diffusion framework, we explore three distinct variable…

Analysis of PDEs · Mathematics 2024-11-14 Sudeb Majee , Åke Brännström , Niklas L. P. Lundström

Ultrasound imaging is an incontestable vital tool for diagnosis, it provides in non-invasive manner the internal structure of the body to detect eventually diseases or abnormalities tissues. Unfortunately, the presence of speckle noise in…

Computer Vision and Pattern Recognition · Computer Science 2013-05-08 Faouzi Benzarti , Hamid Amiri

Ultrasound images are widespread in medical diagnosis for musculoskeletal, cardiac, and obstetrical imaging due to the efficiency and non-invasiveness of the acquisition methodology. However, the acquired images are degraded by acoustic…

Image and Video Processing · Electrical Eng. & Systems 2023-06-14 Hojat Asgariandehkordi , Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

Ultrasound imaging is widely used in noninvasive medical diagnostics due to its efficiency, portability, and avoidance of ionizing radiation. However, its utility is limited by the quality of the signal. Signal-dependent speckle noise,…

Image and Video Processing · Electrical Eng. & Systems 2026-02-10 Soumee Guha , Scott T. Acton

Coherent imaging systems, such as medical ultrasound and synthetic aperture radar (SAR), are subject to corruption from speckle due to sub-resolution scatterers. Since speckle is multiplicative in nature, the constituent image regions…

Image and Video Processing · Electrical Eng. & Systems 2023-11-21 Soumee Guha , Scott T. Acton

Speckle reduction is a prerequisite for many image processing tasks in synthetic aperture radar (SAR) images, as well as all coherent images. In recent years, predominant state-of-the-art approaches for despeckling are usually based on…

Computer Vision and Pattern Recognition · Computer Science 2017-02-27 Wensen Feng , Yunjin Chen

Edge-enhancing diffusion (EED) can reconstruct a close approximation of an original image from a small subset of its pixels. This makes it an attractive foundation for PDE based image compression. In this work, we generalize second-order…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Ikram Jumakulyyev , Thomas Schultz

Multiplicative noise, also known as speckle or pepper noise, commonly affects images produced by synthetic aperture radar (SAR), lasers, or optical lenses. Unlike additive noise, which typically arises from thermal processes or external…

Image and Video Processing · Electrical Eng. & Systems 2024-12-16 An Vuong , Thinh Nguyen

Ultrasound image compression by preserving speckle-based key information is a challenging task. In this paper, we introduce an ultrasound image compression framework with the ability to retain realism of speckle appearance despite achieving…

Computer Vision and Pattern Recognition · Computer Science 2019-01-18 Debarghya China , Francis Tom , Sumanth Nandamuri , Aupendu Kar , Mukundhan Srinivasan , Pabitra Mitra , Debdoot Sheet

In this work, we propose a telegraph coupled partial differential equation (TCPDE) based model for image restoration. New framework interpolates between a couple of non-linear telegraph equation and a parabolic equation. Proposed strategy…

Analysis of PDEs · Mathematics 2019-09-12 Sudeb Majee , Subit K. Jain , Rajendra K. Ray , Ananta K. Majee

In this study, a new coupled Partial Differential Equation (CPDE) based image denoising model incorporating space-time regularization into non-linear diffusion is proposed. This proposed model is fitted with additive Gaussian noise which…

Numerical Analysis · Mathematics 2019-08-08 Subit K. Jain , Sudeb Majee , Rajendra K. Ray , Ananta K. Majee
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