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We provide a comprehensive study of a natural geometric optimization problem motivated by questions in the context of satellite communication and astrophysics. In the problem Minimum Scan Cover with Angular Costs (MSC), we are given a graph…

Computational Geometry · Computer Science 2020-03-20 Sándor P. Fekete , Linda Kleist , Dominik Krupke

Bias field, which is caused by imperfect MR devices or imaged objects, introduces intensity inhomogeneity into MR images and degrades the performance of MR image analysis methods. Many retrospective algorithms were developed to facilitate…

Image and Video Processing · Electrical Eng. & Systems 2023-08-01 Dong Liang , Xingyu Qiu , Kuanquan Wang , Gongning Luo , Wei Wang , Yashu Liu

We consider the problem of enumerating optimal solutions for two hypergraph $k$-partitioning problems -- namely, Hypergraph-$k$-Cut and Minmax-Hypergraph-$k$-Partition. The input in hypergraph $k$-partitioning problems is a hypergraph…

Data Structures and Algorithms · Computer Science 2023-03-09 Calvin Beideman , Karthekeyan Chandrasekaran , Weihang Wang

Segmentation of microscopy images constitutes an ill-posed inverse problem due to measurement noise, weak object boundaries, and limited labeled data. Although deep neural networks provide flexible nonparametric estimators, unconstrained…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Seema K. Poudel , Sunny K. Khadka

When applying a Deep Learning model to medical images, it is crucial to estimate the model uncertainty. Voxel-wise uncertainty is a useful visual marker for human experts and could be used to improve the model's voxel-wise output, such as…

Image and Video Processing · Electrical Eng. & Systems 2022-11-02 Anton Vasiliuk , Daria Frolova , Mikhail Belyaev , Boris Shirokikh

Many data types arising from data mining applications can be modeled as bipartite graphs, examples include terms and documents in a text corpus, customers and purchasing items in market basket analysis and reviewers and movies in a movie…

Information Retrieval · Computer Science 2007-05-23 H. Zha , X. He , C. Ding , M. Gu , H. Simon

Many combinatorial optimization problems can be formulated as the search for a subgraph that satisfies certain properties and minimizes the total weight. We assume here that the vertices correspond to points in a metric space and can take…

Data Structures and Algorithms · Computer Science 2024-12-25 Marin Bougeret , Jérémy Omer , Michael Poss

The task of medical image segmentation presents unique challenges, necessitating both localized and holistic semantic understanding to accurately delineate areas of interest, such as critical tissues or aberrant features. This complexity is…

Image and Video Processing · Electrical Eng. & Systems 2023-08-22 Pranav Singh , Luoyao Chen , Mei Chen , Jinqian Pan , Raviteja Chukkapalli , Shravan Chaudhari , Jacopo Cirrone

We study the Minimum Submodular-Cost Allocation problem (MSCA). In this problem we are given a finite ground set $V$ and $k$ non-negative submodular set functions $f_1 ,..., f_k$ on $V$. The objective is to partition $V$ into $k$ (possibly…

Data Structures and Algorithms · Computer Science 2011-05-12 Chandra Chekuri , Alina Ene

The Multicut problem asks for a minimum cut separating certain pairs of vertices: formally, given a graph $G$ and demand graph $H$ on a set $T\subseteq V(G)$ of terminals, the task is to find a minimum-weight set $C$ of edges of $G$ such…

Computational Complexity · Computer Science 2025-04-16 Jacob Focke , Florian Hörsch , Shaohua Li , Dániel Marx

In the semantic segmentation of street scenes the reliability of the prediction and therefore uncertainty measures are of highest interest. We present a method that generates for each input image a hierarchy of nested crops around the image…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Matthias Rottmann , Marius Schubert

Motion artifacts are a pervasive problem in MRI, leading to misdiagnosis or mischaracterization in population-level imaging studies. Current retrospective rigid intra-slice motion correction techniques jointly optimize estimates of the…

Image and Video Processing · Electrical Eng. & Systems 2023-11-17 Nalini M. Singh , Neel Dey , Malte Hoffmann , Bruce Fischl , Elfar Adalsteinsson , Robert Frost , Adrian V. Dalca , Polina Golland

This paper addresses the problem of reassembling images from disjointed fragments. More specifically, given an unordered set of fragments, we aim at reassembling one or several possibly incomplete images. The main contributions of this work…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 M. -M. Paumard , D. Picard , H. Tabia

The Shortest-Path Problem in Graph of Convex Sets (SPP in GCS) is a recently developed optimization framework that blends discrete and continuous decision making. Many relevant problems in robotics, such as collision-free motion planning,…

Recognising individual trees within remotely sensed imagery has important applications in forest ecology and management. Several algorithms for tree delineation have been suggested, mostly based on locating local maxima or inverted basins…

Computer Vision and Pattern Recognition · Computer Science 2017-01-25 Juheon Lee , David Coomes , Carola-Bibiane Schonlieb , Xiaohao Cai , Jan Lellmann , Michele Dalponte , Yadvinder Malhi , Nathalie Butt , Mike Morecroft

Event-based cameras are bio-inspired sensors with pixels that independently and asynchronously respond to brightness changes at microsecond resolution, offering the potential to handle visual tasks in challenging scenarios. However, due to…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Sheng Zhong , Zhongyang Ren , Xiya Zhu , Dehao Yuan , Cornelia Fermuller , Yi Zhou

When a large collection of objects (e.g., robots, sensors, etc.) has to be deployed in a given environment, it is often required to plan a coordinated motion of the objects from their initial position to a final configuration enjoying some…

Data Structures and Algorithms · Computer Science 2014-07-03 Davide Bilò Luciano Gualà , Stefano Leucci , Guido Proietti

The Maximum Common Subgraph (MCS) problem plays a key role in many applications, including cheminformatics, bioinformatics, and pattern recognition, where it is used to identify the largest shared substructure between two graphs. Although…

Data Structures and Algorithms · Computer Science 2026-03-25 Buddhi Kothalawala , Henning Koehler , Muhammad Farhan

Distributed Image Compression (DIC) is crucial for multi-view transmission, especially when operating at extremely low bitrates (< 0.1 bpp). Its core challenge is effectively utilizing side information to achieve high-quality reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Guojun Xu , Mingyang Zhang , Jianwen Xiang , Cheng Tan , Yanchao Yang , Junwei Zhou

Many image segmentation techniques have been developed over the past two decades for segmenting the images, which help for object recognition, occlusion boundary estimation within motion or stereo systems, image compression, image editing.…

Computer Vision and Pattern Recognition · Computer Science 2014-06-03 Shradha Dakhare , Harshal Chowhan , Manoj B. Chandak
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