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This paper presents a novel simplification method for removing vertices from an intrinsic triangulation corresponding to extrinsic vertices lying on near-developable (i.e., with limited Gaussian curvature) and general surfaces. We greedily…

Graphics · Computer Science 2023-07-17 Randy Shoemaker , Sam Sartor , Pieter Peers

The Minimum Cost Multicut Problem (MP) is a popular way for obtaining a graph decomposition by optimizing binary edge labels over edge costs. While the formulation of a MP from independently estimated costs per edge is highly flexible and…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Steffen Jung , Sebastian Ziegler , Amirhossein Kardoost , Margret Keuper

Three-dimensional (3D) printing is a powerful development tool both in industry, as well as in biomedical research. Additive-lathe 3D printing is an emerging sub-class of 3D printing whereby material is layered outward from the surface of a…

Graphics · Computer Science 2019-10-10 Kyle Reeser , Christopher Conlon , Amber L. Doiron

Plane perfect matchings of $2n$ points in convex position are in bijection with triangulations of convex polygons of size $n+2$. Edge flips are a classic operation to perform local changes both structures have in common. In this work, we…

Combinatorics · Mathematics 2019-07-23 Oswin Aichholzer , Lukas Andritsch , Karin Baur , Birgit Vogtenhuber

Convolution neural network is successful in pervasive vision tasks, including label distribution learning, which usually takes the form of learning an injection from the non-linear visual features to the well-defined labels. However, how…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Ping Chen , Xingpeng Zhang , Chengtao Zhou , Dichao Fan , Peng Tu , Le Zhang , Yanlin Qian

Due to their capacity to encode rich structural information, labeled graphs are often used for modeling various kinds of objects such as images, molecules, and chemical compounds. If pattern recognition problems such as clustering and…

Data Structures and Algorithms · Computer Science 2019-08-02 David B. Blumenthal

With their meaningful geometry and their omnipresence in the 3D world, edges are extremely useful primitives in computer vision. 3D edges comprise of lines and curves, and methods to reconstruct them use either multi-view images or point…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Kunal Chelani , Assia Benbihi , Torsten Sattler , Fredrik Kahl

The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weight sum of the cut edges. Here, we introduce a linear-time algorithm to compute near-minimum cuts. Our…

Data Structures and Algorithms · Computer Science 2019-06-05 Monika Henzinger , Alexander Noe , Christian Schulz , Darren Strash

With the introduction of fully convolutional neural networks, deep learning has raised the benchmark for medical image segmentation on both speed and accuracy, and different networks have been proposed for 2D and 3D segmentation with…

Computer Vision and Pattern Recognition · Computer Science 2018-09-26 Ken C. L. Wong , Mehdi Moradi , Hui Tang , Tanveer Syeda-Mahmood

Image Splicing Localization (ISL) is a fundamental yet challenging task in digital forensics. Although current approaches have achieved promising performance, the edge information is insufficiently exploited, resulting in poor integrality…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Yakun Niu , Pei Chen , Lei Zhang , Hongjian Yin , Qi Chang

For explicit interface tracking in three dimensions, we propose a linear MARS method that (a) represents the interface by a partially ordered set of glued surfaces and approximates each glued surface with a triangular mesh, (b) maintains an…

Numerical Analysis · Mathematics 2025-12-12 Yunhao Qiu , Qinghai Zhang

Image segmentation has long been a basic problem in computer vision. Depth-wise Layering is a kind of segmentation that slices an image in a depth-wise sequence unlike the conventional image segmentation problems dealing with surface-wise…

Computer Vision and Pattern Recognition · Computer Science 2020-11-22 Seyedsaeid Mirkamali , P. Nagabhushan

Counting and finding triangles in graphs is often used in real-world analytics to characterize cohesiveness and identify communities in graphs. In this paper, we propose the novel concept of a cover-edge set that can be used to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-19 David A. Bader , Fuhuan Li , Anya Ganeshan , Ahmet Gundogdu , Jason Lew , Oliver Alvarado Rodriguez , Zhihui Du

Edge detection is a fundamental technique in various computer vision tasks. Edges are indeed effectively delineated by pixel discontinuity and can offer reliable structural information even in textureless areas. State-of-the-art heavily…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Leng Kai , Zhang Zhijie , Liu Jie , Zed Boukhers , Sui Wei , Cong Yang , Li Zhijun

Semantic segmentation of 3D LiDAR point clouds, essential for autonomous driving and infrastructure management, is best achieved by supervised learning, which demands extensive annotated datasets and faces the problem of domain shifts. We…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Andrew Caunes , Thierry Chateau , Vincent Frémont

Point clouds and polygonal meshes are widely used when modeling real-world scenarios. Here, point clouds arise, for instance, from acquisition processes applied in various surroundings, such as reverse engineering, rapid prototyping, or…

Computational Geometry · Computer Science 2025-11-24 Henriette Lipschütz , Ulrich Reitebuch , Konrad Polthier , Martin Skrodzki

We propose a novel ECGAN for the challenging semantic image synthesis task. Although considerable improvements have been achieved by the community in the recent period, the quality of synthesized images is far from satisfactory due to three…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Hao Tang , Guolei Sun , Nicu Sebe , Luc Van Gool

We achieve 3D semantic scene labeling by exploring semantic relation between each point and its contextual neighbors through edges. Besides an encoder-decoder branch for predicting point labels, we construct an edge branch to hierarchically…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Li Jiang , Hengshuang Zhao , Shu Liu , Xiaoyong Shen , Chi-Wing Fu , Jiaya Jia

In this work, we present a general, efficient, and provably robust representation for intrinsic triangulations. These triangulations have emerged as a powerful tool for robust geometry processing of surface meshes, taking a low-quality mesh…

Graphics · Computer Science 2021-06-02 Mark Gillespie , Nicholas Sharp , Keenan Crane

We apply state-of-the-art computational geometry methods to the problem of reconstructing a time-varying sea surface from tide gauge records. Our work builds on a recent article by Nitzke et al.~(Computers \& Geosciences, 157:104920, 2021)…

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