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Image segmentation is the foundation of several computer vision tasks, where pixel-wise knowledge is a prerequisite for achieving the desired target. Deep learning has shown promising performance in supervised image segmentation. However,…

Image and Video Processing · Electrical Eng. & Systems 2024-03-19 Boujemaa Guermazi , Riadh Ksantini , Naimul Khan

New implicit and implicit-explicit time-stepping methods for the wave equation in second-order form are described with application to two and three-dimensional problems discretized on overset grids. The implicit schemes are single step,…

Numerical Analysis · Mathematics 2024-04-24 Allison M. Carson , Jeffrey W. Banks , William D. Henshaw , Donald W. Schwendeman

Image segmentation is the problem of partitioning an image into different subsets, where each subset may have a different characterization in terms of color, intensity, texture, and/or other features. Segmentation is a fundamental component…

Computer Vision and Pattern Recognition · Computer Science 2015-11-03 M. Abdelsamea

A high-order combined interpolation/finite element technique is developed for solving the coupled groundwater-surface water system that governs flows in karst aquifers. In the proposed high-order scheme we approximate the time derivative…

Numerical Analysis · Mathematics 2025-05-28 Eric Ngondiep , Areej A. Binsultan , Ibtisam M. Aldawish

Image segmentation is the process of partitioning an image into a set of meaningful regions according to some criteria. Hierarchical segmentation has emerged as a major trend in this regard as it favors the emergence of important regions at…

Machine Learning · Statistics 2018-02-21 Amin Fehri , Santiago Velasco-Forero , Fernand Meyer

Many interfacial phenomena in physical and biological systems are dominated by high order geometric quantities such as curvature. Here a semi-implicit method is combined with a level set jet scheme to handle stiff nonlinear advection…

Numerical Analysis · Mathematics 2016-08-22 Guhan Velmurugan , Ebrahim M. Kolahdouz , David Salac

To segment 4K or 6K ultra high-resolution images needs extra computation consideration in image segmentation. Common strategies, such as down-sampling, patch cropping, and cascade model, cannot address well the balance issue between…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Tiancheng Shen , Yuechen Zhang , Lu Qi , Jason Kuen , Xingyu Xie , Jianlong Wu , Zhe Lin , Jiaya Jia

This paper proposes a novel algorithm for the problem of structural image segmentation through an interactive model-based approach. Interaction is expressed in the model creation, which is done according to user traces drawn over a given…

Computer Vision and Pattern Recognition · Computer Science 2008-05-16 Alexandre Noma , Ana B. V. Graciano , Luis Augusto Consularo , Roberto M. Cesar-Jr , Isabelle Bloch

We introduce a new methodology to design uniformly accurate methods for oscillatory evolution equations. The targeted models are envisaged in a wide spectrum of regimes, from non-stiff to highly-oscillatory. Thanks to an averaging…

Numerical Analysis · Mathematics 2019-01-11 Philippe Chartier , Mohammed Lemou , Florian Méhats , Gilles Vilmart

The level set approach represents surfaces implicitly, and advects them by evolving a level set function, which is numerically defined on an Eulerian grid. Here we present an approach that augments the level set function values by gradient…

Numerical Analysis · Mathematics 2015-05-13 Jean-Christophe Nave , Rodolfo Ruben Rosales , Benjamin Seibold

Though performed almost effortlessly by humans, segmenting 2D gray-scale or color images into respective regions of interest (e.g.~background, objects, or portions of objects) constitutes one of the greatest challenges in science and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Alexandre Benatti , Luciano da F. Costa

We present a new high order finite element method for the discretization of partial differential equations on stationary smooth surfaces which are implicitly described as the zero level of a level set function. The discretization is based…

Numerical Analysis · Mathematics 2017-04-17 Jörg Grande , Christoph Lehrenfeld , Arnold Reusken

Manipulating images of complex scenes to reconstruct, insert and/or remove specific object instances is a challenging task. Complex scenes contain multiple semantics and objects, which are frequently cluttered or ambiguous, thus hampering…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Pierfrancesco Ardino , Yahui Liu , Elisa Ricci , Bruno Lepri , Marco De Nadai

Many object pose estimation algorithms rely on the analysis-by-synthesis framework which requires explicit representations of individual object instances. In this paper we combine a gradient-based fitting procedure with a parametric neural…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Xu Chen , Zijian Dong , Jie Song , Andreas Geiger , Otmar Hilliges

The problem of segmenting a given image into coherent regions is important in Computer Vision and many industrial applications require segmenting a known object into its components. Examples include identifying individual parts of a…

Computer Vision and Pattern Recognition · Computer Science 2013-05-17 Srimal Jayawardena , Di Yang , Marcus Hutter

Obtaining high quality particle distribution representing clean geometry in pre-processing is essential for the simulation accuracy of the particle-based methods. In this paper, several level-set based techniques for cleaning up `dirty'…

Computational Engineering, Finance, and Science · Computer Science 2023-05-01 Yongchuan Yu , Yujie Zhu , Chi Zhang , Oskar J. Haidn , Xiangyu Hu

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

Machine Learning · Computer Science 2024-10-16 Yuntian Gu , Xuzheng Chen

The goal of this paper is to discover, segment, and track independently moving objects in complex visual scenes. Previous approaches have explored the use of optical flow for motion segmentation, leading to imperfect predictions due to…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Junyu Xie , Weidi Xie , Andrew Zisserman

Image segmentation is still an open problem especially when intensities of the interested objects are overlapped due to the presence of intensity inhomogeneity (also known as bias field). To segment images with intensity inhomogeneities, a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Chaolu Feng

We present two practical improvement techniques for unsupervised segmentation learning. These techniques address limitations in the resolution and accuracy of predicted segmentation maps of recent state-of-the-art methods. Firstly, we…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Alp Eren Sari , Francesco Locatello , Paolo Favaro