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This paper sets up an approach for shape optimization problems constrained by variational inequalities (VI) in an appropriate shape space. In contrast to classical VI, where no explicit dependence on the domain is given, VI constrained…

Optimization and Control · Mathematics 2024-03-12 Tim Suchan , Volker Schulz , Kathrin Welker

We propose a novel method for instance label segmentation of dense 3D voxel grids. We target volumetric scene representations, which have been acquired with depth sensors or multi-view stereo methods and which have been processed with…

Computer Vision and Pattern Recognition · Computer Science 2019-11-04 Jean Lahoud , Bernard Ghanem , Marc Pollefeys , Martin R. Oswald

Context modeling is crucial for visual recognition, enabling highly discriminative image representations by integrating both intrinsic and extrinsic relationships between objects and labels in images. A limitation in current approaches is…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Mingyuan Jiu , Hailong Zhu , Wenchuan Wei , Hichem Sahbi , Rongrong Ji , Mingliang Xu

The ability to dynamically extend a model to new data and classes is critical for multiple organ and tumor segmentation. However, due to privacy regulations, accessing previous data and annotations can be problematic in the medical domain.…

Image and Video Processing · Electrical Eng. & Systems 2023-07-24 Yixiao Zhang , Xinyi Li , Huimiao Chen , Alan Yuille , Yaoyao Liu , Zongwei Zhou

With significant annotation savings, point supervision has been proven effective for numerous 2D and 3D scene understanding problems. This success is primarily attributed to the structured output space; i.e., samples with high spatial…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Leiyao Cui , Xiaoxue Chen , Hao Zhao , Guyue Zhou , Yixin Zhu

Heterogeneous graphs have attracted increasing attention for modeling multi-typed entities and relations in complex real-world systems. Multi-label node classification on heterogeneous graphs is challenging due to structural heterogeneity…

Machine Learning · Computer Science 2026-04-22 Chenghao Zhang , Qingqing Long , Ludi Wang , Wenjuan Cui , Jianjun Yu , Yi Du

Unsupervised semantic segmentation aims to discover and localize semantically meaningful categories within image corpora without any form of annotation. To solve this task, algorithms must produce features for every pixel that are both…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Mark Hamilton , Zhoutong Zhang , Bharath Hariharan , Noah Snavely , William T. Freeman

Deep learning (DL) is the state-of-the-art methodology in various medical image segmentation tasks. However, it requires relatively large amounts of manually labeled training data, which may be infeasible to generate in some applications.…

Image and Video Processing · Electrical Eng. & Systems 2021-03-22 Long Xie , Laura E. M. Wisse , Jiancong Wang , Sadhana Ravikumar , Trevor Glenn , Anica Luther , Sydney Lim , David A. Wolk , Paul A. Yushkevich

Multi-label classification (MLC) refers to the problem of tagging a given instance with a set of relevant labels. Most existing MLC methods are based on the assumption that the correlation of two labels in each label pair is symmetric,…

Machine Learning · Computer Science 2024-10-04 Xingyu Zhao , Yuexuan An , Lei Qi , Xin Geng

The task of multi-label image recognition is to predict a set of object labels that present in an image. As objects normally co-occur in an image, it is desirable to model the label dependencies to improve the recognition performance. To…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Zhao-Min Chen , Xiu-Shen Wei , Peng Wang , Yanwen Guo

We present a mathematical and algorithmic scheme for learning the principal geometric elements in an image or 3D object. We build on recent work that convexifies the basic problem of finding a combination of a small number shapes that…

Computer Vision and Pattern Recognition · Computer Science 2016-07-05 Alireza Aghasi , Justin Romberg

Graph pattern matching is a routine process for a wide variety of applications such as social network analysis. It is typically defined in terms of subgraph isomorphism which is NP-Complete. To lower its complexity, many extensions of graph…

Databases · Computer Science 2018-04-13 Houari Mahfoud

Existing research highlights the crucial role of topological priors in image segmentation, particularly in preserving essential structures such as connectivity and genus. Accurately capturing these topological features often requires…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Wenxiao Li , Xue-Cheng Tai , Jun Liu

The non-stationary nature of data streams strongly challenges traditional machine learning techniques. Although some solutions have been proposed to extend traditional machine learning techniques for handling data streams, these approaches…

Machine Learning · Computer Science 2021-06-23 Xuyang Yan , Abdollah Homaifar , Mrinmoy Sarkar , Abenezer Girma , Edward Tunstel

Shape inference is classically ill-posed, because it involves a map from the (2D) image domain to the (3D) world. Standard approaches regularize this problem by either assuming a prior on lighting and rendering or restricting the domain,…

Computer Vision and Pattern Recognition · Computer Science 2020-08-21 Steven W Zucker

Scene parsing from images is a fundamental yet challenging problem in visual content understanding. In this dense prediction task, the parsing model assigns every pixel to a categorical label, which requires the contextual information of…

Computer Vision and Pattern Recognition · Computer Science 2020-11-06 Litao Yu , Yongsheng Gao , Jun Zhou , Jian Zhang , Qiang Wu

Framed combinatorial topology is a recent approach to tame geometry which expresses higher-dimensional stratified spaces via tractable combinatorial data. The resulting theory of spaces is well-behaved and computable. In this paper we…

Algebraic Topology · Mathematics 2023-05-11 Lukas Heidemann

We analyse shapes of overdense regions (clusters and superclusters) in controlled N-body simulations of gravitational clustering with power law initial spectra P(k) \propto k^n, n = -3, -2, -1, 0. At values of the density just above the…

Astrophysics · Physics 2009-10-30 B. S. Sathyaprakash , Varun Sahni , Sergei F. Shandarin

Topological correctness plays a critical role in many image segmentation tasks, yet most networks are trained using pixel-wise loss functions, such as Dice, neglecting topological accuracy. Existing topology-aware methods often lack robust…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Laurin Lux , Alexander H. Berger , Alexander Weers , Nico Stucki , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

In cluster analysis, a common first step is to scale the data aiming to better partition them into clusters. Even though many different techniques have throughout many years been introduced to this end, it is probably fair to say that the…

Machine Learning · Computer Science 2023-05-30 Eduardo J. Aguilar , Valmir C. Barbosa