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A wavelet-based method for compression of three-dimensional simulation data is presented and its software framework is described. It uses wavelet decomposition and subsequent range coding with quantization suitable for floating-point data.…

Computational Physics · Physics 2022-01-06 Dmitry Kolomenskiy , Ryo Onishi , Hitoshi Uehara

We present CrossLift, a technique for computing cross fields on meshes guided by visual features in images. We leverage powerful text-to-image priors that are capable of synthesizing images of feature-aligned quad meshes in 2D. We extract…

Graphics · Computer Science 2026-05-26 Dale Decatur , Jacob Serfaty , Oded Stein , Amir Vaxman , Rana Hanocka

Existing 3D human mesh recovery methods often fail to fully exploit the latent information (e.g., human motion, shape alignment), leading to issues with limb misalignment and insufficient local details in the reconstructed human mesh…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Xiang Zhang , Suping Wu , Sheng Yang

Video stabilization is essential for improving visual quality of shaky videos. The current video stabilization methods usually take feature trajectories in the background to estimate one global transformation matrix or several…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Minda Zhao , Qiang Ling

Learning latent representations of registered meshes is useful for many 3D tasks. Techniques have recently shifted to neural mesh autoencoders. Although they demonstrate higher precision than traditional methods, they remain unable to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-22 Yi Zhou , Chenglei Wu , Zimo Li , Chen Cao , Yuting Ye , Jason Saragih , Hao Li , Yaser Sheikh

Neural representations for 3D meshes are emerging as an effective solution for compact storage and efficient processing. Existing methods often rely on neural overfitting, where a coarse mesh is stored and progressively refined through…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Xiang Gao , Yuanpeng Liu , Xinmu Wang , Jiazhi Li , Minghao Guo , Yu Guo , Xiyun Song , Heather Yu , Zhiqiang Lao , Xianfeng David Gu

We study the problem of shape generation in 3D mesh representation from a small number of color images with or without camera poses. While many previous works learn to hallucinate the shape directly from priors, we adopt to further improve…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Chao Wen , Yinda Zhang , Chenjie Cao , Zhuwen Li , Xiangyang Xue , Yanwei Fu

Directional wavelet dictionaries are hierarchical representations which efficiently capture and segment information across scale, location and orientation. Such representations demonstrate a particular affinity to physical signals, which…

Instrumentation and Methods for Astrophysics · Physics 2024-03-15 Matthew A. Price , Alicja Polanska , Jessica Whitney , Jason D. McEwen

Extracting detailed 3D information of objects from video data is an important goal for holistic scene understanding. While recent methods have shown impressive results when reconstructing meshes of objects from a single image, results often…

Computer Vision and Pattern Recognition · Computer Science 2021-05-19 Yuan-Ting Hu , Jiahong Wang , Raymond A. Yeh , Alexander G. Schwing

While Marching Cubes (MC) and Marching Tetrahedra (MTet) are widely adopted in 3D reconstruction pipelines due to their simplicity and efficiency, their differentiable variants remain suboptimal for mesh extraction. This often limits the…

Computational Geometry · Computer Science 2026-01-21 Wylliam Cantin Charawi , Adrien Gruson , Jane Wu , Christian Desrosiers , Diego Thomas

With the increase in computational power for the available hardware, the demand for high-resolution data in computer graphics applications increases. Consequently, classical geometry processing techniques based on linear algebra solutions…

Graphics · Computer Science 2024-10-08 Filippo Maggioli , Daniele Baieri , Zorah Lähner , Simone Melzi

Mesh generation is a crucial step in numerical simulations, significantly impacting simulation accuracy and efficiency. However, generating meshes remains time-consuming and requires expensive computational resources. In this paper, we…

Graphics · Computer Science 2024-07-03 Jiaming Peng , Xinhai Chen , Jie Liu

3D mesh segmentation is an important task with many biomedical applications. The human body has bilateral symmetry and some variations in organ positions. It allows us to expect a positive effect of rotation and inversion invariant layers…

Image and Video Processing · Electrical Eng. & Systems 2023-11-07 Vladislav Dordiuk , Maksim Dzhigil , Konstantin Ushenin

Compensated convex transforms have been introduced for extended real-valued functions defined over $\mathbb{R}^n$. In their application to image processing, interpolation, and shape interrogation, where one deals with functions defined over…

Numerical Analysis · Mathematics 2021-01-28 Kewei Zhang , Antonio Orlando , Elaine Crooks

Shearlet theory has become a central tool in analyzing and representing 2D data with anisotropic features. Shearlet systems are systems of functions generated by one single generator with parabolic scaling, shearing, and translation…

Functional Analysis · Mathematics 2010-11-23 Gitta Kutyniok , Jakob Lemvig , Wang-Q Lim

Deep learning has the potential to revolutionize medical practice by automating and performing important tasks like detecting and delineating the size and locations of cancers in medical images. However, most deep learning models rely on…

Image and Video Processing · Electrical Eng. & Systems 2023-11-28 Eirik A. Østmo , Kristoffer K. Wickstrøm , Keyur Radiya , Michael C. Kampffmeyer , Robert Jenssen

As Micro-CT technology continues to refine its characterization of material microstructures, industrial CT ultra-precision inspection is generating increasingly large datasets, necessitating solutions to the trade-off between accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-22 Yipeng Yin , Rao Yao , Qingying Li , Dazhong Wang , Hong Zhou , Zhijun Fang , Jianing Chen , Longjie Qian , Mingyue Wu

In this paper, we consider the classical wave equation with time-dependent, spatially multiscale coefficients. We propose a fully discrete computational multiscale method in the spirit of the localized orthogonal decomposition in space with…

Numerical Analysis · Mathematics 2021-07-30 Bernhard Maier , Barbara Verfürth

3D shape representations that accommodate learning-based 3D reconstruction are an open problem in machine learning and computer graphics. Previous work on neural 3D reconstruction demonstrated benefits, but also limitations, of point cloud,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Jun Gao , Wenzheng Chen , Tommy Xiang , Clement Fuji Tsang , Alec Jacobson , Morgan McGuire , Sanja Fidler

Wavelets and their associated transforms are highly efficient when approximating and analyzing one-dimensional signals. However, multivariate signals such as images or videos typically exhibit curvilinear singularities, which wavelets are…

Numerical Analysis · Mathematics 2017-11-15 Gitta Kutyniok , Wang-Q Lim , Rafael Reisenhofer