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This chapter presents an introduction to graph colouring algorithms. The focus is on vertex-colouring algorithms that work for general classes of graphs with worst-case performance guarantees in a sequential model of computation. The…

数据结构与算法 · 计算机科学 2015-05-22 Thore Husfeldt

In the image inpainting task, the ability to repair both high-frequency and low-frequency information in the missing regions has a substantial influence on the quality of the restored image. However, existing inpainting methods usually fail…

计算机视觉与模式识别 · 计算机科学 2020-06-12 Huali Xu , Xiangdong Su , Meng Wang , Xiang Hao , Guanglai Gao

In this work we study the polytope associated with a 0/1 integer programming formulation for the Equitable Coloring Problem. We find several families of valid inequalities and derive sufficient conditions in order to be facet-defining…

离散数学 · 计算机科学 2014-05-28 Isabel Méndez-Díaz , Graciela Nasini , Daniel Severin

In this report, we present and compare the results of an improved fractional and integer order partial differential equation (PDE)-based binarization scheme. The improved model incorporates a diffusion term in addition to the edge and…

计算机视觉与模式识别 · 计算机科学 2021-11-24 Uche A. Nnolim

In this paper, we consider a number of results and seven conjectures on properly edge-coloured (PC) paths and cycles in edge-coloured multigraphs. We overview some known results and prove new ones. In particular, we consider a family of…

离散数学 · 计算机科学 2008-05-31 Gregory Gutin , Eun Jung Kim

For edge coloring, the online and the W-streaming models seem somewhat orthogonal: the former needs edges to be assigned colors immediately after insertion, typically without any space restrictions, while the latter limits memory to…

数据结构与算法 · 计算机科学 2023-06-01 Prantar Ghosh , Manuel Stoeckl

Drawings of non-planar graphs always result in edge crossings. When there are many edges crossing at small angles, it is often difficult to follow these edges, because of the multiple visual paths resulted from the crossings that slow down…

离散数学 · 计算机科学 2014-09-02 Yifan Hu , Lei Shi

Color representation is essential in computer vision and human-computer interaction. There are multiple color models available. The choice of a suitable color model is critical for various applications. This paper presents a review of color…

计算机视觉与模式识别 · 计算机科学 2026-03-13 Muragul Muratbekova , Nuray Toganas , Ayan Igali , Maksat Shagyrov , Elnara Kadyrgali , Adilet Yerkin , Pakizar Shamoi

This communication describes a representation of images as a set of edges characterized by their position and orientation. This representation allows the comparison of two images and the computation of their similarity. The first step in…

计算机视觉与模式识别 · 计算机科学 2007-05-23 Joel Le Roux , Philippe Chaurand , Mickael Urrutia

Since edge detection is in the forefront of image processing for object detection, it is crucial to have a good understanding of edge detection algorithms. The reason for this is that edges form the outline of an object. An edge is the…

计算机视觉与模式识别 · 计算机科学 2013-11-22 Shubham Saini , Bhavesh Kasliwal , Shraey Bhatia

The Grad-CAM algorithm provides a way to identify what parts of an image contribute most to the output of a classifier deep network. The algorithm is simple and widely used for localization of objects in an image, although some researchers…

计算机视觉与模式识别 · 计算机科学 2022-05-24 Miguel Lerma , Mirtha Lucas

This paper introduces a variant of the classical edge coloring problem in graphs that can be applied to an offline scheduling problem for crossbar switches. We show that the problem is NP-complete, develop three lower bounds bounds on the…

数据结构与算法 · 计算机科学 2015-12-31 Jonathan Turner

Model explanations such as saliency maps can improve user trust in AI by highlighting important features for a prediction. However, these become distorted and misleading when explaining predictions of images that are subject to systematic…

人机交互 · 计算机科学 2022-03-02 Wencan Zhang , Mariella Dimiccoli , Brian Y. Lim

Current quantum computing devices have different strengths and weaknesses depending on their architectures. This means that flexible approaches to circuit design are necessary. We address this task by introducing a novel space-efficient…

Analogue computers use continuous properties of physical system for modeling. In the paper is described possibility of modeling by analogue quantum computers for some model of data analysis. It is analogue associative memory and a formal…

量子物理 · 物理学 2007-05-23 Alexander Yu. Vlasov

As in various fields like scientific research and industrial application, the computation time optimization is becoming a task that is of increasing importance because of its highly parallel architecture. The graphics processing unit is…

性能 · 计算机科学 2017-10-18 Huichao Hong , Lixin Zheng , Shuwan Pan

Image colorization is the process of colorizing grayscale images or recoloring an already-color image. This image manipulation can be used for grayscale satellite, medical and historical images making them more expressive. With the help of…

计算机视觉与模式识别 · 计算机科学 2023-09-27 Ahmed Samir Ragab , Shereen Aly Taie , Howida Youssry Abdelnaby

Edges are a basic and fundamental feature in image processing, that are used directly or indirectly in huge amount of applications. Inspired by the expansion of image resolution and processing power dilated convolution techniques appeared.…

计算机视觉与模式识别 · 计算机科学 2021-11-17 Ciprian Orhei , Victor Bogdan , Cosmin Bonchis

Medical Informatics and the application of modern signal processing in the assistance of the diagnostic process in medical imaging is one of the more recent and active research areas today. This thesis addresses a variety of issues related…

计算机视觉与模式识别 · 计算机科学 2009-10-20 Harris Georgiou

In the W-streaming model, an algorithm is given $O(n \mathrm{polylog} n)$ space and must process a large graph of up to $O(n^2)$ edges. In this short note we give two algorithms for edge colouring under the W-streaming model. For edge…

数据结构与算法 · 计算机科学 2020-11-02 Moses Charikar , Paul Liu