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Recent developments for mathematical modeling and numerical simulation of biomolecular systems raise new demands for qualified, stable, and efficient surface meshing, especially in implicit-solvent modeling. In our former work, we have…

Numerical Analysis · Mathematics 2016-11-11 Tiantian Liu , Minxin Chen , Benzhuo Lu

Traditional computer graphics rendering pipeline is designed for procedurally generating 2D quality images from 3D shapes with high performance. The non-differentiability due to discrete operations such as visibility computation makes it…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Thu Nguyen-Phuoc , Chuan Li , Stephen Balaban , Yong-Liang Yang

We provide a two-way integration for the widely adopted ControlNet by integrating external condition generation algorithms into a single dense prediction method and incorporating its individually trained image generation processes into a…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Yilin Wang , Haiyang Xu , Xiang Zhang , Zeyuan Chen , Zhizhou Sha , Zirui Wang , Zhuowen Tu

We propose a new numerical algorithm to construct a structured numerical elliptic grid of a doubly connected domain. Our method is applicable to domains with boundaries defined by two contour lines of a two-dimensional function. The…

Numerical Analysis · Mathematics 2018-08-14 Matthias Wiesenberger , Markus Held , Lukas Einkemmer

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

This paper presents a new method to generate iso-scallop tool paths for triangular mesh surfaces. With the popularity of 3D scanning techniques, scanning-derived mesh surfaces have seen a significant increase in their application to…

Graphics · Computer Science 2020-04-21 Qiang Zou

In this work we present an algorithm to construct an infinitely differentiable smooth surface from an input consisting of a (rectilinear) triangulation of a surface of arbitrary shape. The original surface can have non-trivial genus and…

Numerical Analysis · Mathematics 2019-10-01 Felipe Vico , Leslie Greengard , Michael O'Neil , Manas Rachh

We present a discrete theory for modeling developable surfaces as quadrilateral meshes satisfying simple angle constraints. The basis of our model is a lesser known characterization of developable surfaces as manifolds that can be…

Graphics · Computer Science 2017-07-27 Michael Rabinovich , Tim Hoffmann , Olga Sorkine-Hornung

Boundary representation (B-rep) of geometric models is a fundamental format in Computer-Aided Design (CAD). However, automatically generating valid and high-quality B-rep models remains challenging due to the complex interdependence between…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Jing Li , Yihang Fu , Falai Chen

Existing learning-based surface reconstruction methods from point clouds are still facing challenges in terms of scalability and preservation of details on large-scale point clouds. In this paper, we propose the SSRNet, a novel scalable…

Computer Vision and Pattern Recognition · Computer Science 2020-04-15 Zhenxing Mi , Yiming Luo , Wenbing Tao

Reconstructing 3D non-watertight mesh from an unoriented point cloud is an unexplored area in computer vision and computer graphics. In this project, we tried to tackle this problem by extending the learning-based watertight mesh…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Partha Ghosh

We introduce a new generative model that combines latent diffusion with persistent homology to create 3D shapes with high diversity, with a special emphasis on their topological characteristics. Our method involves representing 3D shapes as…

Computer Vision and Pattern Recognition · Computer Science 2024-02-01 Jiangbei Hu , Ben Fei , Baixin Xu , Fei Hou , Weidong Yang , Shengfa Wang , Na Lei , Chen Qian , Ying He

We propose an end-to-end pipeline to robustly generate high-quality, high-order and coarse quadrilateral meshes on CAD models. This kind of mesh enables the use of high-order analysis techniques such as high-order finite element methods or…

Computational Engineering, Finance, and Science · Computer Science 2021-08-06 Mattéo Couplet , Maxence Reberol , Jean-François Remacle

In this work, we present HyperFlow - a novel generative model that leverages hypernetworks to create continuous 3D object representations in a form of lightweight surfaces (meshes), directly out of point clouds. Efficient object…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Przemysław Spurek , Maciej Zięba , Jacek Tabor , Tomasz Trzciński

Orthogonal graph drawing has many applications, e.g., for laying out UML diagrams or cableplans. In this paper, we present a new pipeline that draws multigraphs orthogonally, using few bends, few crossings, and small area. Our pipeline…

Computational Geometry · Computer Science 2023-09-08 Tim Hegemann , Alexander Wolff

Manifold models provide low-dimensional representations that are useful for processing and analyzing data in a transformation-invariant way. In this paper, we study the problem of learning smooth pattern transformation manifolds from image…

Computer Vision and Pattern Recognition · Computer Science 2013-05-20 Elif Vural , Pascal Frossard

Meshes serve as a primary representation for 3D assets. Autoregressive mesh generators serialize faces into sequences and train on truncated segments with sliding-window inference to cope with memory limits. However, this mismatch breaks…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Junkai Lin , Hang Long , Huipeng Guo , Jielei Zhang , JiaYi Yang , Tianle Guo , Yang Yang , Jianwen Li , Wenxiao Zhang , Matthias Nießner , Wei Yang

3D generative modeling is accelerating as the technology allowing the capture of geometric data is developing. However, the acquired data is often inconsistent, resulting in unregistered meshes or point clouds. Many generative learning…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Thomas Besnier , Sylvain Arguillère , Emery Pierson , Mohamed Daoudi

This work proposes a novel metric based algorithm for quadrilateral mesh generating. Each quad-mesh induces a Riemannian metric satisfying special conditions: the metric is a flat metric with cone signualrites conformal to the original…

Computational Geometry · Computer Science 2018-12-03 Wei Chen , Xiaopeng Zheng , Jingyao Ke , Na Lei , Zhongxuan Luo , Xianfeng Gu

Generative network models play an important role in algorithm development, scaling studies, network analysis, and realistic system benchmarks for graph data sets. The commonly used graph-based benchmark model R-MAT has some drawbacks…

Data Structures and Algorithms · Computer Science 2016-07-01 Moritz von Looz , Mustafa Özdayi , Sören Laue , Henning Meyerhenke