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We propose a numerical method for solving block-structured mesh partitioning problems based on the variational level-set method of (Zhao et al., J Comput Phys 127, 1996) which has been widely used in many partitioning problems such as image…

Computational Physics · Physics 2018-01-12 Shucheng Pan , Xiangyu Hu , Nikolaus. A. Adams

We study the problem of unsupervised discovery and segmentation of object parts, which, as an intermediate local representation, are capable of finding intrinsic object structure and providing more explainable recognition results. Recent…

Computer Vision and Pattern Recognition · Computer Science 2021-05-27 Shilong Liu , Lei Zhang , Xiao Yang , Hang Su , Jun Zhu

Supervised 3D part segmentation models are tailored for a fixed set of objects and parts, limiting their transferability to open-set, real-world scenarios. Recent works have explored vision-language models (VLMs) as a promising alternative,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-09 Marco Garosi , Riccardo Tedoldi , Davide Boscaini , Massimiliano Mancini , Nicu Sebe , Fabio Poiesi

Shape assembly, the process of combining parts into a complete whole, is a crucial robotic skill with broad real-world applications. Among various assembly tasks, geometric assembly--where broken parts are reassembled into their original…

Robotics · Computer Science 2025-06-11 Yan Shen , Ruihai Wu , Yubin Ke , Xinyuan Song , Zeyi Li , Xiaoqi Li , Hongwei Fan , Haoran Lu , Hao dong

In this thesis, a new approach for constructing subdivision algorithms for generalized quadratic and cubic B-spline subdivision for subdivision surfaces and volumes is presented. First, a catalog of quality criteria for these subdivision…

Computational Geometry · Computer Science 2025-07-29 Alexander Dietz

The creation of 3D assets with explicit, editable part structures is crucial for advancing interactive applications, yet most generative methods produce only monolithic shapes, limiting their utility. We introduce OmniPart, a novel…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Yunhan Yang , Yufan Zhou , Yuan-Chen Guo , Zi-Xin Zou , Yukun Huang , Ying-Tian Liu , Hao Xu , Ding Liang , Yan-Pei Cao , Xihui Liu

The objective of this work is to segment any arbitrary structures of interest (SOI) in 3D volumes by only annotating a single slice, (i.e. semi-automatic 3D segmentation). We show that high accuracy can be achieved by simply propagating the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-12 Pak-Hei Yeung , Ana I. L. Namburete , Weidi Xie

Lengthy setup processes that require robotics expertise remain a major barrier to deploying robots for tasks involving high product variability and small batch sizes. As a result, collaborative robots, despite their advanced sensing and…

Robotics · Computer Science 2025-12-30 Christoph Willibald , Lugh Martensen , Thomas Eiband , Dongheui Lee

The calculation of the volume enclosed by curved surfaces discretized into triangular elements, and a cube is of great importance in different domains, such as computer graphics and multiphase flow simulations. We propose a robust…

3D printing of surfaces has become an established method for prototyping and visualisation. However, surfaces often contain certain degenerations, such as self-intersecting faces or non-manifold parts, which pose problems in obtaining a 3D…

Computational Geometry · Computer Science 2024-05-28 Christian Amend , Tom Goertzen

Precise image segmentation provides clinical study with instructive information. Despite the remarkable progress achieved in medical image segmentation, there is still an absence of a 3D foundation segmentation model that can segment a wide…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Yuxin Du , Fan Bai , Tiejun Huang , Bo Zhao

Many forms of programmable matter have been proposed for various tasks. We use an abstract model of self-organizing particle systems for programmable matter which could be used for a variety of applications, including smart paint and…

Emerging Technologies · Computer Science 2017-10-24 Alexandra Porter , Andréa W. Richa

We present a rectangle-based segmentation algorithm that sets up a graph and performs a graph cut to separate an object from the background. However, graph-based algorithms distribute the graph's nodes uniformly and equidistantly on the…

Computer Vision and Pattern Recognition · Computer Science 2012-03-14 Jan Egger , Tina Kapur , Thomas Dukatz , Malgorzata Kolodziej , Dzenan Zukic , Bernd Freisleben , Christopher Nimsky

In this work, we present a robust approach for joint part and object segmentation. Specifically, we reformulate object and part segmentation as an optimization problem and build a hierarchical feature representation including pixel, part,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Ju He , Jieneng Chen , Ming-Xian Lin , Qihang Yu , Alan Yuille

We fully generalize a previously-developed computational geometry tool [1] to perform large-scale simulations of arbitrary two-dimensional faceted surfaces $z = h(x,y)$. Our method uses a three-component facet/edge/junction storage model,…

Mathematical Physics · Physics 2011-10-17 Scott A. Norris , Stephen J. Watson

Traditional problems in computational geometry involve aspects that are both discrete and continuous. One such example is nearest-neighbor searching, where the input is discrete, but the result depends on distances, which vary continuously.…

Computational Geometry · Computer Science 2023-08-21 Ahmed Abdelkader , David M. Mount

Interactable objects are ubiquitous in our daily lives. Recent advances in 3D generative models make it possible to automate the modeling of these objects, benefiting a range of applications from 3D printing to the creation of robot…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Rundong Luo , Haoran Geng , Congyue Deng , Puhao Li , Zan Wang , Baoxiong Jia , Leonidas Guibas , Siyuan Huang

Segmenting 3D assets into their constituent parts is crucial for enhancing 3D understanding, facilitating model reuse, and supporting various applications such as part generation. However, current methods face limitations such as poor…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Changfeng Ma , Yang Li , Xinhao Yan , Jiachen Xu , Yunhan Yang , Chunshi Wang , Zibo Zhao , Yanwen Guo , Zhuo Chen , Chunchao Guo

Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a…

Computational Geometry · Computer Science 2013-07-09 Dimitris Vartziotis , Benjamin Himpel

A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with support for arbitrary unstructured meshes and dynamic local Adaptive Mesh Refinement (AMR), as well as for two and three dimensional computation is developed. The…

Fluid Dynamics · Physics 2013-05-16 Tomislav Maric , Holger Marschall , Dieter Bothe