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Sparsity is one of the key concepts that allows the recovery of signals that are subsampled at a rate significantly lower than required by the Nyquist-Shannon sampling theorem. Our proposed framework uses arbitrary multiscale transforms,…

Optimization and Control · Mathematics 2017-05-31 Jackie Ma , Maximilian März

This paper describes a novel method for partitioning image into meaningful segments. The proposed method employs watershed transform, a well-known image segmentation technique. Along with that, it uses various auxiliary schemes such as…

Computer Vision and Pattern Recognition · Computer Science 2013-03-21 Ankit R. Chadha , Neha S. Satam

Partial differential equations (PDEs) with near singular solutions pose significant challenges for traditional numerical methods, particularly in complex geometries where mesh generation and adaptive refinement become computationally…

Numerical Analysis · Mathematics 2025-07-24 Yangtao Deng , Qiaolin He , Xiaoping Wang

Anomaly segmentation in high spatial resolution (HSR) remote sensing imagery is aimed at segmenting anomaly patterns of the earth deviating from normal patterns, which plays an important role in various Earth vision applications. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Jingtao Li , Xinyu Wang , Hengwei Zhao , Shaoyu Wang , Yanfei Zhong

Spatial resolution of medical images can be improved using super-resolution methods. Real Enhanced Super Resolution Generative Adversarial Network (Real-ESRGAN) is one of the recent effective approaches utilized to produce higher resolution…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Shawkh Ibne Rashid , Elham Shakibapour , Mehran Ebrahimi

We propose an adaptive refinement algorithm to solve total variation regularized measure optimization problems. The method iteratively constructs dyadic partitions of the unit cube based on i) the resolution of discretized dual problems and…

Optimization and Control · Mathematics 2023-01-19 Axel Flinth , Frédéric de Gournay , Pierre Weiss

The success of state-of-the-art deep neural networks heavily relies on the presence of large-scale labelled datasets, which are extremely expensive and time-consuming to annotate. This paper focuses on tackling semi-supervised part…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Yu Yang , Xiaotian Cheng , Hakan Bilen , Xiangyang Ji

Numerous total variation (TV) regularizers, engaged in image restoration problem, encode the gradients by means of simple $[-1,1]$ FIR filter. Despite its low computational processing, this filter severely deviates signal's high frequency…

Optimization and Control · Mathematics 2015-06-17 Mahdi S. Hosseini , Konstantinos N. Plataniotis

Conventional super-resolution methods suffer from two drawbacks: substantial computational cost in upscaling an entire large image, and the introduction of extraneous or potentially detrimental information for downstream computer vision…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Tianyi Zhang , Kishore Kasichainula , Yaoxin Zhuo , Baoxin Li , Jae-sun Seo , Yu Cao

This work addresses the problems of semantic segmentation and image super-resolution by jointly considering the performance of both in training a Generative Adversarial Network (GAN). We propose a novel architecture and domain-specific…

Computer Vision and Pattern Recognition · Computer Science 2022-05-19 Tristan Frizza , Donald G. Dansereau , Nagita Mehr Seresht , Michael Bewley

Image segmentation and image restoration are two important topics in image processing with great achievements. In this paper, we propose a new multiphase segmentation model by combining image restoration and image segmentation models.…

Computer Vision and Pattern Recognition · Computer Science 2014-05-12 Xiaohao Cai

Algebraic multigrid (AMG) methods are among the most efficient solvers for linear systems of equations and they are widely used for the solution of problems stemming from the discretization of Partial Differential Equations (PDEs). The most…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Paola F. Antonietti , Luca Dede'

In multiband fusion, an image with a high spatial and low spectral resolution is combined with an image with a low spatial but high spectral resolution to produce a single multiband image having high spatial and spectral resolutions. This…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Unni V. S. , Pravin Nair , Kunal N. Chaudhury

Degradation-agnostic image restoration aims to handle diverse corruptions with one unified model, but faces fundamental challenges in balancing efficiency and performance across different degradation types. Existing approaches either…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Bin Ren , Yawei Li , Xu Zheng , Yuqian Fu , Danda Pani Paudel , Hong Liu , Ming-Hsuan Yang , Luc Van Gool , Nicu Sebe

We present a new method for efficient high-quality image segmentation of objects and scenes. By analogizing classical computer graphics methods for efficient rendering with over- and undersampling challenges faced in pixel labeling tasks,…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Alexander Kirillov , Yuxin Wu , Kaiming He , Ross Girshick

Super-resolution light microscopy overcomes the physical barriers due to light diffraction, allowing for the observation of otherwise indistinguishable subcellular entities. However, the specific acquisition conditions required by…

High resolution (HR) 3D images are widely used nowadays, such as medical images like Magnetic Resonance Imaging (MRI) and Computed Tomography (CT). However, segmentation of these 3D images remains a challenge due to their high spatial…

Image and Video Processing · Electrical Eng. & Systems 2023-07-11 Hongyi Wang , Lanfen Lin , Hongjie Hu , Qingqing Chen , Yinhao Li , Yutaro Iwamoto , Xian-Hua Han , Yen-Wei Chen , Ruofeng Tong

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

Optimization and Control · Mathematics 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

Unsupervised image segmentation aims at assigning the pixels with similar feature into a same cluster without annotation, which is an important task in computer vision. Due to lack of prior knowledge, most of existing model usually need to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Zhichao Wu , Lei Guo , Hao Zhang , Dan Xu

Semi-supervised learning has attracted much attention due to its less dependence on acquiring abundant annotations from experts compared to fully supervised methods, which is especially important for medical image segmentation which…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Yichi Zhang , Jin Yang , Yuchen Liu , Yuan Cheng , Yuan Qi