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We propose a multiscale method for mixed-dimensional elliptic problems with highly heterogeneous coefficients arising, for example, in the modeling of fractured porous media. The method is based on the Localized Orthogonal Decomposition…

Numerical Analysis · Mathematics 2026-03-23 Moritz Hauck , Axel Målqvist , Malin Mosquera

Inferring missing regions from severely occluded point clouds is highly challenging. Especially for 3D shapes with rich geometry and structure details, inherent ambiguities of the unknown parts are existing. Existing approaches either learn…

Computer Vision and Pattern Recognition · Computer Science 2024-01-01 Linlian Jiang , Pan Chen , Ye Wang , Tieru Wu , Rui Ma

How will you repair a physical object with large missings? You may first recover its global yet coarse shape and stepwise increase its local details. We are motivated to imitate the above physical repair procedure to address the point cloud…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Fei Hu , Honghua Chen , Xuequan Lu , Zhe Zhu , Jun Wang , Weiming Wang , Fu Lee Wang , Mingqiang Wei

LiDAR odometry is a fundamental task for various areas such as robotics, autonomous driving. This problem is difficult since it requires the systems to be highly robust running in noisy real-world data. Existing methods are mostly local…

Computer Vision and Pattern Recognition · Computer Science 2020-04-10 Zhichao Li , Naiyan Wang

Accurate reconstruction of implanted knee models is crucial in orthopedic surgery and biomedical engineering, enhancing preoperative planning, optimizing implant design, and improving surgical outcomes. Traditional methods rely on…

Image and Video Processing · Electrical Eng. & Systems 2024-08-06 Viet-Dung Nguyen , Michael T. LaCour , Richard D. Komistek

Depth estimation plays a pivotal role in advancing human-robot interactions, especially in indoor environments where accurate 3D scene reconstruction is essential for tasks like navigation and object handling. Monocular depth estimation,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Siddiqui Muhammad Yasir , Hyunsik Ahn

3D reconstruction from single view images is an ill-posed problem. Inferring the hidden regions from self-occluded images is both challenging and ambiguous. We propose a two-pronged approach to address these issues. To better incorporate…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Priyanka Mandikal , K L Navaneet , Mayank Agarwal , R. Venkatesh Babu

Faithfully reconstructing textured shapes and physical properties from videos presents an intriguing yet challenging problem. Significant efforts have been dedicated to advancing such a system identification problem in this area. Previous…

Graphics · Computer Science 2025-06-10 Chuhao Chen , Zhiyang Dou , Chen Wang , Yiming Huang , Anjun Chen , Qiao Feng , Jiatao Gu , Lingjie Liu

We propose a system for surface completion and inpainting of 3D shapes using generative models, learnt on local patches. Our method uses a novel encoding of height map based local patches parameterized using 3D mesh quadrangulation of the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Kripasindhu Sarkar , Kiran Varanasi , Didier Stricker

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

We present a new method for the statistical process control of lattice structures using tools from Topological Data Analysis. Motivated by applications in additive manufacturing, such as aerospace components and biomedical implants, where…

Methodology · Statistics 2025-10-15 Yulin An , Xueqi Zhao , Enrique del Castillo

Writing an uncomplicated, robust, and scalable three-dimensional convex hull algorithm is challenging and problematic. This includes, coplanar and collinear issues, numerical accuracy, performance, and complexity trade-offs. While there are…

Computational Geometry · Computer Science 2023-04-11 Ben Kenwright

Polycube segmentations for 3D models effectively support a wide variety of applications such as seamless texture mapping, spline fitting, structured multi-block grid generation, and hexahedral mesh construction. However, the automated…

Graphics · Computer Science 2025-09-03 Maxim Snoep , Bettina Speckmann , Kevin Verbeek

We present a real-time algorithm that finds the Penetration Depth (PD) between general polygonal models based on iterative and local optimization techniques. Given an in-collision configuration of an object in configuration space, we find…

Graphics · Computer Science 2015-08-26 Changsoo Je , Min Tang , Youngeun Lee , Minkyoung Lee , Young J. Kim

Bokeh rendering and depth estimation share a fundamental optical connection, yet existing methods fail to fully exploit this reciprocity. Conventional bokeh pipelines rely heavily on noisy depth maps that inevitably introduce visual…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Hangwei Zhang , Armando Fortes , Tianyi Wei , Xingang Pan

We present a framework that adapts 2D diffusion models for 3D shape completion from incomplete point clouds. While text-to-image diffusion models have achieved remarkable success with abundant 2D data, 3D diffusion models lag due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Yao He , Youngjoong Kwon , Tiange Xiang , Wenxiao Cai , Ehsan Adeli

Lattice-skin structures composed of a thin-shell skin and a lattice infill are widespread in nature and large-scale engineering due to their efficiency and exceptional mechanical properties. Recent advances in additive manufacturing, or 3D…

Numerical Analysis · Mathematics 2022-06-20 Xiao Xiao , Fehmi Cirak

The reconstruction of cortical surfaces from brain magnetic resonance imaging (MRI) scans is essential for quantitative analyses of cortical thickness and sulcal morphology. Although traditional and deep learning-based algorithmic pipelines…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Fabian Bongratz , Anne-Marie Rickmann , Sebastian Pölsterl , Christian Wachinger

Implicitly described domains are a well established tool in the simulation of time dependent problems, e.g. using level-set methods. In order to solve partial differential equations on such domains, a range of numerical methods was…

Numerical Analysis · Computer Science 2016-01-16 Christian Engwer , Andreas Nüßing

In this paper, we develop novel, efficient 2D encodings for 3D geometry, which enable reconstructing full 3D shapes from a single image at high resolution. The key idea is to pose 3D shape reconstruction as a 2D prediction problem. To that…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Stephan R. Richter , Stefan Roth