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Diffusion models have shown superior performance on unsupervised anomaly detection tasks. Since trained with normal data only, diffusion models tend to reconstruct normal counterparts of test images with certain noises added. However, these…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Hang Yao , Ming Liu , Haolin Wang , Zhicun Yin , Zifei Yan , Xiaopeng Hong , Wangmeng Zuo

Diffusion-based image super-resolution methods have demonstrated significant advantages over GAN-based approaches, particularly in terms of perceptual quality. Building upon a lengthy Markov chain, diffusion-based methods possess remarkable…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Leheng Zhang , Weiyi You , Kexuan Shi , Shuhang Gu

Semi-supervised learning utilizes insights from unlabeled data to improve model generalization, thereby reducing reliance on large labeled datasets. Most existing studies focus on limited samples and fail to capture the overall data…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Xiuzhen Guo , Lianyuan Yu , Ji Shi , Na Lei , Hongxiao Wang

A method for spatial deconvolution of spectra is presented. It follows the same fundamental principles as the ``MCS image deconvolution algorithm'' (Magain, Courbin, Sohy, 1998) and uses information contained in the spectrum of a reference…

Astrophysics · Physics 2009-10-31 F. Courbin , P. Magain , M. Kirkove , S. Sohy

This paper describes a novel nonparametric model for modeling diffusion MRI signals in q-space. In q-space, diffusion MRI signal is measured for a sequence of magnetic strengths (b-values) and magnetic gradient directions (b-vectors). We…

Applications · Statistics 2024-03-13 Arkaprava Roy , Zhou Lan , Zhengwu Zhang

The acquisition of MRI images offers a trade-off in terms of acquisition time, spatial/temporal resolution and signal-to-noise ratio (SNR). Thus, for instance, increasing the time efficiency of MRI often comes at the expense of reduced SNR.…

Computer Vision and Pattern Recognition · Computer Science 2011-10-28 Sudipto Dolui , Alan Kuurstra , Iván C. Salgado Patarroyo , Oleg V. Michailovich

Magnetic Resonance Imaging (MRI), including diffusion MRI (dMRI), serves as a ``microscope'' for anatomical structures and routinely mitigates the influence of low signal-to-noise ratio scans by compromising temporal or spatial resolution.…

Image and Video Processing · Electrical Eng. & Systems 2025-03-11 Chenxu Wu , Qingpeng Kong , Zihang Jiang , S. Kevin Zhou

We extend Regularised Diffusion-Shock (RDS) filtering from Euclidean space $\mathbb{R}^2$ to the space of positions and orientations $\mathbb{M}_2 := \mathbb{R}^2 \times S^1$. This has numerous advantages, e.g. making it possible to enhance…

Differential Geometry · Mathematics 2025-05-26 Finn M. Sherry , Kristina Schaefer , Remco Duits

Signal decomposition (SD) approaches aim to decompose non-stationary signals into their constituent amplitude- and frequency-modulated components. This represents an important preprocessing step in many practical signal processing…

Signal Processing · Electrical Eng. & Systems 2022-09-05 Thomas Eriksen , Naveed ur Rehman

The problem of sparse multichannel blind deconvolution (S-MBD) arises frequently in many engineering applications such as radar/sonar/ultrasound imaging. To reduce its computational and implementation cost, we propose a compression method…

Signal Processing · Electrical Eng. & Systems 2023-07-05 Bahareh Tolooshams , Satish Mulleti , Demba Ba , Yonina C. Eldar

Removing the aberrations introduced by the Point Spread Function (PSF) is a fundamental aspect of astronomical image processing. The presence of noise in observed images makes deconvolution a nontrivial task that necessitates the use of…

Instrumentation and Methods for Astrophysics · Physics 2017-05-03 Samuel Farrens , Jean-Luc Starck , Fred Maurice Ngolè Mboula

Defocus blur is a physical consequence of the optical sensors used in most cameras. Although it can be used as a photographic style, it is commonly viewed as an image degradation modeled as the convolution of a sharp image with a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Ali Karaali , Claudio Rosito Jung

Magnetic Resonance Imaging (MRI) is an essential diagnostic tool in clinical settings but its utility is often hindered by noise artifacts introduced during the imaging process. Effective denoising is critical for enhancing image quality…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 Zeyun Deng , Joseph Campbell

This study presents the first comprehensive comparison of rule-based methods, traditional machine learning models, and deep learning models in radio wave sensing with frequency modulated continuous wave multiple input multiple output radar.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Tomoya Tanaka , Tomonori Ikeda , Ryo Yonemoto

Modeling magnitude Magnetic Resonance Images (MRI) rician denoising in a Bayesian or generalized Tikhonov framework using Total Variation (TV) leads naturally to the consideration of nonlinear elliptic equations. These involve the so called…

Analysis of PDEs · Mathematics 2018-11-27 Adrian Martin , Emanuele Schiavi , Sergio Segura de Leon

Confocal histology provides an opportunity to establish intra-voxel fiber orientation distributions that can be used to quantitatively assess the biological relevance of diffusion weighted MRI models, e.g., constrained spherical…

Diffusion-weighted MRI measures the direction and scale of the local diffusion process in every voxel through its spectrum in q-space, typically acquired in one or more shells. Recent developments in microstructure imaging and multi-tissue…

The long sampling time of diffusion models remains a significant bottleneck, which can be mitigated by reducing the number of diffusion time steps. However, the quality of samples with fewer steps is highly dependent on the noise schedule,…

Machine Learning · Computer Science 2025-06-03 Khaled Kahouli , Winfried Ripken , Stefan Gugler , Oliver T. Unke , Klaus-Robert Müller , Shinichi Nakajima

Mapping white matter tracts is an essential step towards understanding brain function. Diffusion Magnetic Resonance Imaging (dMRI) is the only noninvasive technique which can detect in vivo anisotropies in the 3-dimensional diffusion of…

Computation · Statistics 2014-03-21 Dario Gasbarra , Jia Liu , Juha Railavo

Medical image acquisition is often intervented by unwanted noise that corrupts the information content. This paper introduces an unsupervised medical image denoising technique that learns noise characteristics from the available images and…

Image and Video Processing · Electrical Eng. & Systems 2021-03-12 Swati Rai , Jignesh S. Bhatt , S. K. Patra
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