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We propose a novel approach to extracting crack-free iso-surfaces from Structured AMR data that is more general than previous techniques, is trivially simple to implement, requires no information other than the list of AMR cells, and works,…

Graphics · Computer Science 2020-04-21 Ingo Wald

We present a detailed comparison between two adaptive numerical approaches to solve partial differential equations (PDEs), adaptive multiresolution (MR) and adaptive mesh refinement (AMR). Both discretizations are based on finite volumes in…

Numerical Analysis · Mathematics 2016-03-17 Ralf Deiterding , Margarete O. Domingues , Sonia M. Gomes , Kai Schneider

Conforming hexahedral (hex) meshes are favored in simulation for their superior numerical properties, yet automatically decomposing a general 3D volume into a conforming hex mesh remains a formidable challenge. Among existing approaches,…

Computational Geometry · Computer Science 2026-01-07 Hua Tong , Yongjie Jessica Zhang

We present a simple yet effective method for skeleton-free motion retargeting. Previous methods transfer motion between high-resolution meshes, failing to preserve the inherent local-part motions in the mesh. Addressing this issue, our…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Haoyu Wang , Shaoli Huang , Fang Zhao , Chun Yuan , Ying Shan

In this paper we present an adaptive discretization technique for solving elliptic partial differential equations via a collocation radial basis function partition of unity method. In particular, we propose a new adaptive scheme based on…

Numerical Analysis · Mathematics 2018-11-13 R. Cavoretto , A. De Rossi

We apply an unfitted HDG discretization to a model problem in shape optimization. The method proposed uses a fixed, shape regular, non-geometry conforming mesh and a high order transfer technique to deal with the curved boundaries arising…

Numerical Analysis · Mathematics 2025-09-30 Esteban Henríquez , Tonatiuh Sánchez-Vizuet , Manuel Solano

Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a…

Graphics · Computer Science 2023-10-04 Junyi Shen

Interpretability of deep learning is widely used to evaluate the reliability of medical imaging models and reduce the risks of inaccurate patient recommendations. For models exceeding human performance, e.g. predicting RNA structure from…

Quantitative Methods · Quantitative Biology 2022-08-31 Mara Graziani , Niccolò Marini , Nicolas Deutschmann , Nikita Janakarajan , Henning Müller , María Rodríguez Martínez

In many practical applications of numerical methods a substantial increase in efficiency can be obtained by using local grid refinement, since the solution is generally smooth in large parts of the domain and large gradients occur only…

Numerical Analysis · Mathematics 2016-06-21 E. H. van Brummelen , C. H. Venner

Medical image retrieval is a valuable field for supporting clinical decision-making, yet current methods primarily support 2D images and require fully annotated queries, limiting clinical flexibility. To address this, we propose…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Inye Na , Nejung Rue , Jiwon Chung , Hyunjin Park

Building an online 3D LiDAR mapping system that produces a detailed surface reconstruction while remaining computationally efficient is a challenging task. In this paper, we present PlanarMesh, a novel incremental, mesh-based LiDAR…

Robotics · Computer Science 2025-10-16 Jiahao Wang , Nived Chebrolu , Yifu Tao , Lintong Zhang , Ayoung Kim , Maurice Fallon

Tumor volume segmentation on MRI is a challenging and time-consuming process that is performed manually in typical clinical settings. This work presents an approach to automated delineation of head and neck tumors on MRI scans, developed in…

Image and Video Processing · Electrical Eng. & Systems 2025-01-10 Andrei Iantsen

This paper presents a heterogeneous adaptive mesh refinement (AMR) framework for efficient simulation of moderately stiff reactive problems. This framework features an elaborate subcycling-in-time algorithm along with a specialized…

Computational Physics · Physics 2025-06-04 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jianhan Liang

We present an adaptive space-time mesh refinement approach based a domain decomposition approach (Singh and Wheeler, 2018) that allows different time-step sizes and mesh refinements in different subdomains. Our numerical experiments…

Numerical Analysis · Mathematics 2018-09-10 Gurpreet Singh , Mary F. Wheeler

We consider problems related to initial meshing and adaptive mesh refinement for the electromagnetic simulation of various structures. The quality of the initial mesh and the performance of the adaptive refinement are of great importance…

The mesh flexibility offered by the virtual element method through the permission of arbitrary element geometries, and the seamless incorporation of `hanging' nodes, has made the method increasingly attractive in the context of adaptive…

Numerical Analysis · Mathematics 2024-07-19 Daniel van Huyssteen , Felipe Lopez Rivarola , Guillermo Etse , Paul Steinmann

As modeling and visualization applications proliferate, there arises a need to simplify large polygonal models at interactive rates. Unfortunately existing polygon mesh simplification algorithms are not well suited for this task because…

Graphics · Computer Science 2025-07-22 Dmitry Brodsky , Benjamin Watson

Fully supervised human mesh recovery methods are data-hungry and have poor generalizability due to the limited availability and diversity of 3D-annotated benchmark datasets. Recent progress in self-supervised human mesh recovery has been…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Xuan Gong , Meng Zheng , Benjamin Planche , Srikrishna Karanam , Terrence Chen , David Doermann , Ziyan Wu

Tumor lesion segmentation on CT or MRI images plays a critical role in cancer diagnosis and treatment planning. Considering the inherent differences in tumor lesion segmentation data across various medical imaging modalities and equipment,…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Hairong Shi , Songhao Han , Shaofei Huang , Yue Liao , Guanbin Li , Xiangxing Kong , Hua Zhu , Xiaomu Wang , Si Liu

Reconstructing the 3D mesh of a general object from a single image is now possible thanks to the latest advances of deep learning technologies. However, due to the nontrivial difficulty of generating a feasible mesh structure, the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Junyi Pan , Xiaoguang Han , Weikai Chen , Jiapeng Tang , Kui Jia
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