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In this paper, we propose a fourth order PDE model for image inpainting based on a variant of the famous Mumford-Shah (MS) image segmentation model. Convexity splitting is used to discrtised the time and we replace the Laplacian by its…

Numerical Analysis · Mathematics 2022-08-05 Abdul Halim , Abdur Rohim , B. V. Rathish Kumar , Ripan Saha

The partition function of the q-state Potts model with random ferromagnetic couplings in the large-q limit is generally dominated by the contribution of a single diagram of the high temperature expansion. Computing this dominant diagram…

Statistical Mechanics · Physics 2007-05-23 J-Ch. Angles d'Auriac , F. Igloi , M. Preissmann , A. Sebo

We study the problem of sparse signal detection on a spatial domain. We propose a novel approach to model continuous signals that are sparse and piecewise smooth as product of independent Gaussian processes (PING) with a smooth covariance…

We introduce a methodology for generating benchmark problem sets for Ising machines---devices designed to solve discrete optimization problems cast as Ising models. In our approach, linear systems of equations are cast as Ising cost…

Quantum Physics · Physics 2019-09-02 Itay Hen

This review presents various image segmentation methods using complex networks. Image segmentation is one of the important steps in image analysis as it helps analyze and understand complex images. At first, it has been tried to classify…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Amin Rezaei , Fatemeh Asadi

For $d \ge 2$ and all $q\geq q_{0}(d)$ we give an efficient algorithm to approximately sample from the $q$-state ferromagnetic Potts and random cluster models on finite tori $(\mathbb Z / n \mathbb Z )^d$ for any inverse temperature…

Probability · Mathematics 2022-08-09 Christian Borgs , Jennifer Chayes , Tyler Helmuth , Will Perkins , Prasad Tetali

Panoptic segmentation is a key enabler for robotic perception, as it unifies semantic understanding with object-level reasoning. However, the increasing complexity of state-of-the-art models makes them unsuitable for deployment on…

Robotics · Computer Science 2026-05-19 Calvin Galagain , Martyna Poreba , François Goulette , Cyrill Stachniss

Machine-learning (ML) models trained on Ising spin configurations have demonstrated surprising effectiveness in classifying phases of Potts models, even when processing severely reduced representations that retain only two spin states. To…

Statistical Mechanics · Physics 2026-01-16 Yi-Lun Du , Nan Su , Konrad Tywoniuk

High-resolution semantic segmentation requires substantial computational resources. Traditional approaches in the field typically downscale the input images before processing and then upscale the low-resolution outputs back to their…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Ritambhara Singh , Abhishek Jain , Pietro Perona , Shivani Agarwal , Junfeng Yang

Advances in CMOS technology have made high resolution image sensors possible. These image sensor pose significant challenges in terms of the amount of raw data generated, energy efficiency and frame rate. This paper presents a new design…

Image and Video Processing · Electrical Eng. & Systems 2018-01-12 Pravir Singh Gupta , Gwan Seong Choi

Image restoration refers to the process of reconstructing noisy, destroyed, or missing parts of an image, which is an ill-posed inverse problem. A specific regularization term and image degradation are typically assumed to achieve…

Image and Video Processing · Electrical Eng. & Systems 2025-04-15 Jianwei Ke

A new algebraic method is developed to reduce the size of the transfer matrix of Ising and three-state Potts ferromagnets, on strips of width r sites of square and triangular lattices. This size reduction has been set up in such a way that…

Statistical Mechanics · Physics 2007-05-23 M. Ghaemi , G. A. Parsafar

Today Bayesian networks are more used in many areas of decision support and image processing. In this way, our proposed approach uses Bayesian Network to modelize the segmented image quality. This quality is calculated on a set of…

Computer Vision and Pattern Recognition · Computer Science 2015-01-23 Mohamed Ali Mahjoub , Mohamed Mhiri

A new algorithm is presented, which allows to calculate numerically the partition function Z_q of the d-dimensional q-state Potts models for arbitrary real values q>0 at any given temperature T with high precision. The basic idea is to…

Statistical Mechanics · Physics 2009-11-10 A. K. Hartmann

this paper we consider the problem of separating noisy instantaneous linear mixtures of document images in the Bayesian framework. The source image is modeled hierarchically by a latent labeling process representing the common…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Feng Su , Ali Mohammad-Djafari

Stochastic modelling of complex systems plays an essential, yet often computationally intensive role across the quantitative sciences. Recent advances in quantum information processing have elucidated the potential for quantum simulators to…

Quantum Physics · Physics 2021-06-22 Thomas J. Elliott

Lossy image compression algorithms play a crucial role in various domains, including graphics, and image processing. As image information density increases, so do the resources required for processing and transmission. One of the most…

Optimization and Control · Mathematics 2024-10-10 Anton Kozyriev , Vladimir Norkin

Diffusion models have gained popularity for generating images from textual descriptions. Nonetheless, the substantial need for computational resources continues to present a noteworthy challenge, contributing to time-consuming processes.…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Hanwen Chang , Haihao Shen , Yiyang Cai , Xinyu Ye , Zhenzhong Xu , Wenhua Cheng , Kaokao Lv , Weiwei Zhang , Yintong Lu , Heng Guo

Semantic image segmentation is an important computer vision task that is difficult because it consists of both recognition and segmentation. The task is often cast as a structured output problem on an exponentially large output-space, which…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Payman Yadollahpour

The main objective of image segmentation is to divide an image into homogeneous regions for further analysis. This is a significant and crucial task in many applications such as medical imaging. Deep learning (DL) methods have been proposed…

Image and Video Processing · Electrical Eng. & Systems 2023-06-27 Junying Meng , Weihong Guo , Jun Liu , Mingrui Yang