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In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of a representation function but we modify the velocity that…

Numerical Analysis · Mathematics 2020-01-08 Maurizio Falcone , Giulio Paolucci , Silvia Tozza

For many tracking and surveillance applications, background subtraction provides an effective means of segmenting objects moving in front of a static background. Researchers have traditionally used combinations of morphological operations…

Computer Vision and Pattern Recognition · Computer Science 2014-11-17 Nicholas R. Howe , Alexandra Deschamps

This work presents an unsupervised and semi-automatic image segmentation approach where we formulate the segmentation as a inference problem based on unary and pairwise assignment probabilities computed using low-level image cues. The…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Ayelet Heimowitz , Yosi Keller

In this paper, we propose a new framework for segmenting feature-based moving objects under affine subspace model. Since the feature trajectories in practice are high-dimensional and contain a lot of noise, we firstly apply the sparse PCA…

Computer Vision and Pattern Recognition · Computer Science 2017-01-25 Michael Ying Yang , Hanno Ackermann , Weiyao Lin , Sitong Feng , Bodo Rosenhahn

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2014-12-11 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2015-01-07 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

The figure-ground segmentation of humans in images captured in natural environments is an outstanding open problem due to the presence of complex backgrounds, articulation, varying body proportions, partial views and viewpoint changes. In…

Computer Vision and Pattern Recognition · Computer Science 2015-01-28 Alin-Ionut Popa , Cristian Sminchisescu

The max-k-cut problem is to partition the vertices of a weighted graph $G = (V,E)$ into $k\geq2$ disjoint subsets such that the weight sum of the edges crossing the different subsets is maximized. The problem is referred as the max-cut…

Discrete Mathematics · Computer Science 2015-11-02 Fuda Ma , Jin-Kao Hao

We describe an approach for segmenting an image into regions that correspond to surfaces in the scene that are partially surrounded by the medium. It integrates both appearance and motion statistics into a cost functional, that is seeded…

Computer Vision and Pattern Recognition · Computer Science 2011-09-23 Alper Ayvaci , Stefano Soatto

We introduce and study Minimum Cut Representability, a framework to solve optimization and feasibility problems over stable matchings by representing them as minimum s-t cut problems on digraphs over rotations. We provide necessary and…

Optimization and Control · Mathematics 2025-04-08 Yuri Faenza , Ayoub Foussoul , Chengyue He

We consider the minimum-cut partitioning of a graph into more than two parts using spectral methods. While there exist well-established spectral algorithms for this problem that give good results, they have traditionally not been well…

Data Structures and Algorithms · Computer Science 2014-08-04 Maria A. Riolo , M. E. J. Newman

Deterministically solving charged particle transport problems at a sufficient spatial and angular resolution is often prohibitively expensive, especially due to their highly forward peaked scattering. We propose a model order reduction…

Numerical Analysis · Mathematics 2025-01-13 Pia Stammer , Tiberiu Burlacu , Niklas Wahl , Danny Lathouwers , Jonas Kusch

This paper presents a multiscale approach to efficiently compute approximate optimal transport plans between point sets. It is particularly well-suited for point sets that are in high-dimensions, but are close to being intrinsically…

Machine Learning · Computer Science 2021-04-13 Samuel Gerber , Mauro Maggioni

We propose a new family of multilevel methods for unconstrained minimization. The resulting strategies are multilevel extensions of high-order optimization methods based on q-order Taylor models (with q >= 1) that have been recently…

Numerical Analysis · Mathematics 2019-04-10 Henri Calandra , Serge Gratton , Elisa Riccietti , Xavier Vasseur

We propose in this paper an adaptive reduced order modelling technique based on domain partitioning for parametric problems of fracture. We show that coupling domain decomposition and projection-based model order reduction permits to focus…

Classical Physics · Physics 2015-06-11 Pierre Kerfriden , Olivier Goury , Timon Rabczuk , Stephane Pierre-Alain Bordas

In this paper, we propose novel algorithms for inferring the Maximum a Posteriori (MAP) solution of discrete pairwise random field models under multiple constraints. We show how this constrained discrete optimization problem can be…

Machine Learning · Computer Science 2013-08-02 Yongsub Lim , Kyomin Jung , Pushmeet Kohli

In this paper, we consider two fundamental cut approximation problems on large graphs. We prove new lower bounds for both problems that are optimal up to logarithmic factors. The first problem is to approximate cuts in balanced directed…

Data Structures and Algorithms · Computer Science 2024-06-21 Yu Cheng , Max Li , Honghao Lin , Zi-Yi Tai , David P. Woodruff , Jason Zhang

This work presents a maximum entropy principle based algorithm for solving minimum multiway $k$-cut problem defined over static and dynamic {\em digraphs}. A multiway $k$-cut problem requires partitioning the set of nodes in a graph into…

Optimization and Control · Mathematics 2019-07-23 Mayank Baranwal , Amber Srivastava , Srinivasa Salapaka

We state a combinatorial optimization problem whose feasible solutions define both a decomposition and a node labeling of a given graph. This problem offers a common mathematical abstraction of seemingly unrelated computer vision tasks,…

Computer Vision and Pattern Recognition · Computer Science 2017-02-22 Evgeny Levinkov , Jonas Uhrig , Siyu Tang , Mohamed Omran , Eldar Insafutdinov , Alexander Kirillov , Carsten Rother , Thomas Brox , Bernt Schiele , Bjoern Andres

To reduce the computational cost of humanoid motion generation, we introduce a new approach to representing robot kinematic reachability: the differentiable reachability map. This map is a scalar-valued function defined in the task space…

Robotics · Computer Science 2025-08-18 Masaki Murooka , Iori Kumagai , Mitsuharu Morisawa , Fumio Kanehiro