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Partitionings (or segmentations) divide a given domain into disjoint connected regions whose union forms again the entire domain. Multi-dimensional partitionings occur, for example, when analyzing parameter spaces of simulation models,…

Human-Computer Interaction · Computer Science 2024-10-28 Marina Evers , Lars Linsen

In this paper, we present a surface remeshing method with high approximation quality based on Principal Component Analysis. Given a triangular mesh and a user assigned polygon/vertex budget, traditional methods usually require the extra…

Graphics · Computer Science 2018-04-10 Yiqi Cai , Xiaohu Guo , Yang Liu , Wenping Wang , Weihua Mao , Zichun Zhong

Segmentation is often an essential intermediate step in image analysis. A volume segmentation characterizes the underlying volume image in terms of geometric information--segments, faces between segments, curves in which several faces…

Computational Geometry · Computer Science 2010-10-01 Bjoern Andres , Ullrich Koethe , Thorben Kroeger , Fred A. Hamprecht

Assembling parts into an object is a combinatorial problem that arises in a variety of contexts in the real world and involves numerous applications in science and engineering. Previous related work tackles limited cases with identical unit…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Jinhwi Lee , Jungtaek Kim , Hyunsoo Chung , Jaesik Park , Minsu Cho

Space-filling curves (SFCs) are used in high performance computing to distribute a computational domain or its mesh, respectively, amongst different compute units, i.e.~cores or nodes or accelerators. The part of the domain allocated to…

Computational Engineering, Finance, and Science · Computer Science 2021-06-25 Maximilien Gadouleau , Tobias Weinzierl

In computed tomography, the approximation quality of a scan of a physical object is typically limited by the acquisition modalities, especially the hardware including X-ray detectors. To improve upon this, we experiment with a…

Graphics · Computer Science 2023-03-14 A. Michael Stock , Sergio López-Ureña

Recent progress in 3D object generation has greatly improved both the quality and efficiency. However, most existing methods generate a single mesh with all parts fused together, which limits the ability to edit or manipulate individual…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Jiaxiang Tang , Ruijie Lu , Zhaoshuo Li , Zekun Hao , Xuan Li , Fangyin Wei , Shuran Song , Gang Zeng , Ming-Yu Liu , Tsung-Yi Lin

Visual affordance segmentation identifies image regions of an object an agent can interact with. Existing methods re-use and adapt learning-based architectures for semantic segmentation to the affordance segmentation task and evaluate on…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Tommaso Apicella , Alessio Xompero , Paolo Gastaldo , Andrea Cavallaro

Swept volume computation, the determination of regions occupied by moving objects, is essential in graphics, robotics, and manufacturing. Existing approaches either explicitly track surfaces, suffering from robustness issues under complex…

Computational Geometry · Computer Science 2025-09-12 Pengfei Wang , Yuexin Yang , Shuangmin Chen , Shiqing Xin , Changhe Tu , Wenping Wang

Available algorithms for the initialization of volume fractions typically utilize exact functions to model fluid interfaces, or they rely on computationally costly intersections between volume meshes. Here, a new algorithm is proposed that…

Computational Physics · Physics 2024-02-07 Tobias Tolle , Dirk Gründing , Dieter Bothe , Tomislav Marić

We study the problem of partitioning a given simple polygon $P$ into a minimum number of connected polygonal pieces, each of bounded size. We describe a general technique for constructing such partitions that works for several notions of…

Computational Geometry · Computer Science 2024-10-23 Mikkel Abrahamsen , Nichlas Langhoff Rasmussen

In spite of considerable progress, computing curvature in Volume of Fluid (VOF) methods continues to be a challenge. The goal is to develop a function or a subroutine that returns the curvature in computational cells containing an interface…

Computational Physics · Physics 2018-11-14 Yinghe Qi , Jiacai Lu , Ruben Scardovelli , Stephane Zaleski , Gretar Tryggvason

Optimal surface segmentation is a state-of-the-art method used for segmentation of multiple globally optimal surfaces in volumetric datasets. The method is widely used in numerous medical image segmentation applications. However, nodes in…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Abhay Shah , Michael D. Abramoff , Xiaodong Wu

To autonomously navigate and plan interactions in real-world environments, robots require the ability to robustly perceive and map complex, unstructured surrounding scenes. Besides building an internal representation of the observed scene…

We envision programmable matter as a system of nano-scale agents (called particles) with very limited computational capabilities that move and compute collectively to achieve a desired goal. We use the geometric amoebot model as our…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-15 Joshua J. Daymude , Robert Gmyr , Kristian Hinnenthal , Irina Kostitsyna , Christian Scheideler , Andréa W. Richa

In the present paper, an integrated paradigm for topology optimization on complex surfaces with arbitrary genus is proposed. The approach is constructed based on the two-dimensional (2D) Moving Morphable Component (MMC) framework, where a…

Optimization and Control · Mathematics 2022-02-03 Wendong Huo , Chang Liu , Zongliang Du , Xudong Jiang , Zhengyu Liu , Xu Guo

Segmenting 3D objects into parts is a long-standing challenge in computer vision. To overcome taxonomy constraints and generalize to unseen 3D objects, recent works turn to open-world part segmentation. These approaches typically transfer…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Zhe Zhu , Le Wan , Rui Xu , Yiheng Zhang , Honghua Chen , Zhiyang Dou , Cheng Lin , Yuan Liu , Mingqiang Wei

Plane arrangements are a useful tool for surface and volume modelling. However, their main drawback is poor scalability. We introduce two key novelties that enable the construction of plane arrangements for complex objects and entire…

Computational Geometry · Computer Science 2024-07-12 Raphael Sulzer , Florent Lafarge

Aggregating base elements into rigid objects such as furniture or sculptures is a great way for designers to convey a specific look and feel. Unfortunately, there is no existing solution to help model structurally sound aggregates. The…

Graphics · Computer Science 2018-11-08 Jérémie Dumas , Jonàs Martínez , Sylvain Lefebvre , Li-Yi Wei

We present an easy-to-use and lightweight surface and volume mesh sampling standalone application tailored for the needs of particle-based simulation. We describe the surface and volume sampling algorithms used in LEAVEN in a…

Graphics · Computer Science 2023-08-04 Alexander Sommer , Ulrich Schwanecke
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