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Solving nesting problems or irregular strip packing problems is to position polygons in a fixed width and unlimited length strip, obeying polygon integrity containment constraints and non-overlapping constraints, in order to minimize the…

最优化与控制 · 数学 2017-07-25 Jeinny Peralta , Marina Andretta , José Fernando Oliveira

We propose a parallel algorithm for the numerical solution of a class of second order semi-linear equations coming from stochastic optimal control problems, by means of a dynamic domain decomposition technique. The new method is an…

数值分析 · 数学 2016-02-11 Simone Cacace , Maurizio Falcone

Bilevel optimization has been widely used in decision-making process. However, there still lacks an efficient algorithm to determine an optimal solution of a bilevel optimization problem, especially for a large-size problem. To bridge the…

最优化与控制 · 数学 2016-05-18 Xuan Liu , Zuyi Li

In this paper, the compact linearization approach originally proposed for binary quadratic programs with assignment constraints is generalized to such programs with arbitrary linear equations and inequalities that have positive coefficients…

最优化与控制 · 数学 2018-08-28 Sven Mallach

Many applications require solving sequences of related mixed-integer linear programs. We introduce a class of parametric disjunctive inequalities (PDIs), obtained by reusing the disjunctive proofs of optimality from prior solves to…

最优化与控制 · 数学 2025-11-21 Shannon Kelley , Aleksandr M. Kazachkov , Ted Ralphs

Many computer vision applications, such as object recognition and segmentation, increasingly build on superpixels. However, there have been so far few superpixel algorithms that systematically deal with noisy images. We propose to first…

计算机视觉与模式识别 · 计算机科学 2018-03-21 Ruobing Shen , Xiaoyu Chen , Xiangrui Zheng , Gerhard Reinelt

Consider the scattering of a time-harmonic plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in two dimensions. In this paper, a novel boundary integral formulation is proposed and its highly accurate…

数值分析 · 数学 2020-07-20 Heping Dong , Jun Lai , Peijun Li

Image deblurring remains a central research area within image processing, critical for its role in enhancing image quality and facilitating clearer visual representations across diverse applications. This paper tackles the optimization…

计算机视觉与模式识别 · 计算机科学 2025-02-12 Qingsong Wang , Shengze Xu , Xiaojiao Tong , Tieyong Zeng

We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the…

数值分析 · 数学 2011-05-24 Hend Ben Ameur , Guy Chavent , Francois Clément , Pierre Weis

Discrete gradient methods are well-known methods of Geometric Numerical Integration, which preserve the dissipation of gradient systems. The preservation of the dissipation of a system is an important feature in numerous image processing…

数值分析 · 数学 2016-03-25 V Grimm , R I McLachlan , D McLaren , G R W Quispel , C-B Schönlieb

Autonomous driving is a challenging scenario for image segmentation due to the presence of uncontrolled environmental conditions and the eventually catastrophic consequences of failures. Previous work suggested that a biologically motivated…

计算机视觉与模式识别 · 计算机科学 2026-04-01 Pablo Hernández-Cámara , Jorge Vila-Tomás , Paula Dauden-Oliver , Nuria Alabau-Bosque , Valero Laparra , Jesús Malo

Owing to the edge preserving ability and low computational cost of the total variation (TV), variational models with the TV regularization have been widely investigated in the field of multiplicative noise removal. The key points of the…

计算机视觉与模式识别 · 计算机科学 2015-03-18 Dai-Qiang Chen , Li-Zhi Cheng

Removing blur caused by camera shake in images has always been a challenging problem in computer vision literature due to its ill-posed nature. Motion blur caused due to the relative motion between the camera and the object in 3D space…

计算机视觉与模式识别 · 计算机科学 2017-09-12 Sainandan Ramakrishnan , Shubham Pachori. Aalok Gangopadhyay , Shanmuganathan Raman

We study two numerical approximations of solutions of nonlocal diffusion evolution problems which are inspired in algorithms for computing the bilateral denoising filtering of an image, and which are based on functional rearrangements and…

数值分析 · 数学 2024-01-26 Gonzalo Galiano

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

最优化与控制 · 数学 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

A rectangle blanket is a set of non-overlapping axis-aligned rectangles, used to approximately represent the two dimensional image of a shape approximately. The use of a rectangle blanket is a widely considered strategy for speeding-up the…

离散数学 · 计算机科学 2019-10-04 Barış Evrim Demiröz , Kuban Altınel , Lale Akarun

This paper presents a mixed-integer quadratic programming formulation of an existing data-driven approach to computational elasticity. This formulation is suitable for application of a standard mixed-integer programming solver, which finds…

最优化与控制 · 数学 2019-09-17 Yoshihiro Kanno

The prevalence of digital sensors, such as digital cameras and mobile phones, simplifies the acquisition of photos. Digital sensors, however, suffer from producing Moire when photographing objects having complex textures, which deteriorates…

计算机视觉与模式识别 · 计算机科学 2019-09-27 Xi Cheng , Zhenyong Fu , Jian Yang

We propose a new model, together with advanced optimization, to separate a thick scattering media layer from a single natural image. It is able to handle challenging underwater scenes and images taken in fog and sandstorm, both of which are…

计算机视觉与模式识别 · 计算机科学 2013-10-15 Qiong Yan , Li Xu , Jiaya Jia

We present a method of solving a nonlinear Dirichlet problem with discontinuous boundary data and we give a probabilistic representation of the solution using the nonlocal branching process associated with the nonlinear term of the…

概率论 · 数学 2024-10-23 Lucian Beznea , Oana Lupascu-Stamate , Alexandra Teodor