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The recent proliferation of 3D content that can be consumed on hand-held devices necessitates efficient tools for transmitting large geometric data, e.g., 3D meshes, over the Internet. Detailed high-resolution assets can pose a challenge to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Yun-Chun Chen , Vladimir G. Kim , Noam Aigerman , Alec Jacobson

Mesh reconstruction of the cardiac anatomy from medical images is useful for shape and motion measurements and biophysics simulations to facilitate the assessment of cardiac function and health. However, 3D medical images are often acquired…

Image and Video Processing · Electrical Eng. & Systems 2024-10-22 Yihao Luo , Dario Sesia , Fanwen Wang , Yinzhe Wu , Wenhao Ding , Jiahao Huang , Fadong Shi , Anoop Shah , Amit Kaural , Jamil Mayet , Guang Yang , ChoonHwai Yap

In this work, we introduce Unique3D, a novel image-to-3D framework for efficiently generating high-quality 3D meshes from single-view images, featuring state-of-the-art generation fidelity and strong generalizability. Previous methods based…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Kailu Wu , Fangfu Liu , Zhihan Cai , Runjie Yan , Hanyang Wang , Yating Hu , Yueqi Duan , Kaisheng Ma

Construction of optimal deformations is one of the long standing problems of computational mathematics. We consider the problem of computing quasi-isometric deformations with minimal possible quasi-isometry constant (global estimate for…

Computational Geometry · Computer Science 2022-01-31 Vladimir Garanzha , Igor Kaporin , Liudmila Kudryavtseva , François Protais , David Desobry , Dmitry Sokolov

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

Surface reconstruction with preservation of geometric features is a challenging computer vision task. Despite significant progress in implicit shape reconstruction, state-of-the-art mesh extraction methods often produce aliased,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Natalia Soboleva , Olga Gorbunova , Maria Ivanova , Evgeny Burnaev , Matthias Nießner , Denis Zorin , Alexey Artemov

In this paper we present a technique for procedurally generating 3D maps using a set of premade meshes which snap together based on designer-specified visual constraints. The proposed approach avoids size and layout limitations, offering…

Artificial Intelligence · Computer Science 2022-05-03 Rafael C. e Silva , Nuno Fachada , Diogo de Andrade , Nélio Códices

Scene understanding is an important capability for robots acting in unstructured environments. While most SLAM approaches provide a geometrical representation of the scene, a semantic map is necessary for more complex interactions with the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Radu Alexandru Rosu , Jan Quenzel , Sven Behnke

We present a technique for zero-shot generation of a 3D model using only a target text prompt. Without any 3D supervision our method deforms the control shape of a limit subdivided surface along with its texture map and normal map to obtain…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Nasir Mohammad Khalid , Tianhao Xie , Eugene Belilovsky , Tiberiu Popa

This paper introduces a novel method for the efficient and accurate computation of volume fractions on unstructured polyhedral meshes, where the phase boundary is an orientable hypersurface, implicitly given as the iso-contour of a…

Numerical Analysis · Mathematics 2021-11-19 Johannes Kromer , Dieter Bothe

We propose a method that morphs high-orger meshes such that their boundaries and interfaces coincide/align with implicitly defined geometries. Our focus is particularly on the case when the target surface is prescribed as the zero…

Computational Geometry · Computer Science 2023-02-17 Jorge-Luis Barrera , Tzanio Kolev , Ketan Mittal , Vladimir Tomov

The present paper suggests a new approach for geometric representation of 3D spatial models and provides a new compression algorithm for 3D meshes, which is based on mathematical theory of convex geometry. In our approach we represent a 3D…

Computational Geometry · Computer Science 2013-08-13 Rafik Aramyan , Gagik Mkrtchyan , Arman Karapetyan

Designs generated by density-based topology optimization (TO) exhibit jagged and/or smeared boundaries, which forms an obstacle to their integration with existing CAD tools. Addressing this problem by smoothing or manual design adjustments…

Computational Engineering, Finance, and Science · Computer Science 2020-04-14 Marco K. Swierstra , Deepak K. Gupta , Matthijs Langelaar

We present a novel shape-approximating anisotropic re-meshing algorithm as a geometric generalization of the adaptive moving mesh method. Conventional moving mesh methods reduce the interpolation error of a mesh that discretizes a given…

Computational Geometry · Computer Science 2023-06-21 Nicolas Nebel , Albert Chern

Mesh deformation plays a pivotal role in many 3D vision tasks including dynamic simulations, rendering, and reconstruction. However, defining an efficient discrepancy between predicted and target meshes remains an open problem. A prevalent…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Tung Le , Khai Nguyen , Shanlin Sun , Kun Han , Nhat Ho , Xiaohui Xie

This paper deals with the problem of reconstructing a depth map from a sequence of differently focused images, also known as depth from focus or shape from focus. We propose to state the depth from focus problem as a variational problem…

Computer Vision and Pattern Recognition · Computer Science 2015-10-28 Michael Moeller , Martin Benning , Carola Schönlieb , Daniel Cremers

We introduce a novel offset meshing approach that can robustly handle a 3D surface mesh with an arbitrary geometry and topology configurations, while nicely capturing the sharp features on the original input for both inward and outward…

Graphics · Computer Science 2024-12-23 Hongyi Cao , Gang Xu , Renshu Gu , Jinlan Xu , Xiaoyu Zhang , Timon Rabczuk , Yuzhe Luo , Xifeng Gao

With the emergence of neural radiance fields (NeRFs), view synthesis quality has reached an unprecedented level. Compared to traditional mesh-based assets, this volumetric representation is more powerful in expressing scene geometry but…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Yuan-Chen Guo , Yan-Pei Cao , Chen Wang , Yu He , Ying Shan , Xiaohu Qie , Song-Hai Zhang

Geometric feature learning for 3D surfaces is critical for many applications in computer graphics and 3D vision. However, deep learning currently lags in hierarchical modeling of 3D surfaces due to the lack of required operations and/or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Huan Lei , Naveed Akhtar , Mubarak Shah , Ajmal Mian

Mapping the environment has been an important task for robot navigation and Simultaneous Localization And Mapping (SLAM). LIDAR provides a fast and accurate 3D point cloud map of the environment which helps in map building. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-14 Aritra Mukherjee , Sourya Dipta Das , Jasorsi Ghosh , Ananda S. Chowdhury , Sanjoy Kumar Saha
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