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This paper presents a convolution tensor decomposition based model reduction method for solving the Allen-Cahn equation. The Allen-Cahn equation is usually used to characterize phase separation or the motion of anti-phase boundaries in…

Numerical Analysis · Mathematics 2024-11-06 Ye Lu , Chaoqian Yuan , Han Guo

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

Recent generative models can create visually plausible 3D representations of objects. However, the generation process often allows for implicit control signals, such as contextual descriptions, and rarely supports bold geometric distortions…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Changwoon Choi , Hyunsoo Lee , Clément Jambon , Yael Vinker , Young Min Kim

Graph-based next-step prediction models have recently been very successful in modeling complex high-dimensional physical systems on irregular meshes. However, due to their short temporal attention span, these models suffer from error…

Machine Learning · Computer Science 2022-05-27 Xu Han , Han Gao , Tobias Pfaff , Jian-Xun Wang , Li-Ping Liu

Video depth estimation extends monocular prediction into the temporal domain to ensure coherence. However, existing methods often suffer from spatial blurring in fine-detail regions and temporal inconsistencies. We argue that current…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Yuecheng Liu , Junda Cheng , Longliang Liu , Wenjing Liao , Hanrui Cheng , Yuzhou Wang , Xin Yang

Four-dimensional MRI (4D-MRI) is an promising technique for capturing respiratory-induced motion in radiation therapy planning and delivery. Conventional 4D reconstruction methods, which typically rely on phase binning or separate template…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Xinyang Wu , Muheng Li , Xia Li , Orso Pusterla , Sairos Safai , Philippe C. Cattin , Antony J. Lomax , Ye Zhang

In real-world, many problems can be formulated as the alignment between two geometric patterns. Previously, a great amount of research focus on the alignment of 2D or 3D patterns, especially in the field of computer vision. Recently, the…

Machine Learning · Computer Science 2018-11-20 Hu Ding , Mingquan Ye

Mesh plays an indispensable role in dense real-time reconstruction essential in robotics. Efforts have been made to maintain flexible data structures for 3D data fusion, yet an efficient incremental framework specifically designed for…

Robotics · Computer Science 2018-03-13 Wei Dong , Jieqi Shi , Weijie Tang , Xin Wang , Hongbin Zha

Mesh models are a promising approach for encoding the structure of 3D objects. Current mesh reconstruction systems predict uniformly distributed vertex locations of a predetermined graph through a series of graph convolutions, leading to…

Computer Vision and Pattern Recognition · Computer Science 2019-02-01 Edward J. Smith , Scott Fujimoto , Adriana Romero , David Meger

We introduce a novel, data-driven approach for reconstructing temporally coherent 3D motion from unstructured and potentially partial observations of non-rigidly deforming shapes. Our goal is to achieve high-fidelity motion reconstructions…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Aymen Merrouche , Stefanie Wuhrer , Edmond Boyer

This paper focuses on the task of 4D shape reconstruction from a sequence of point clouds. Despite the recent success achieved by extending deep implicit representations into 4D space, it is still a great challenge in two respects, i.e. how…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jiapeng Tang , Dan Xu , Kui Jia , Lei Zhang

We address the problem of accelerating thin-shell deformable object simulations by dimension reduction. We present a new algorithm to embed a high-dimensional configuration space of deformable objects in a low-dimensional feature space,…

Graphics · Computer Science 2020-03-02 Qingyang Tan , Zherong Pan , Lin Gao , Dinesh Manocha

Learning to generate textures for a novel 3D mesh given a collection of 3D meshes and real-world 2D images is an important problem with applications in various domains such as 3D simulation, augmented and virtual reality, gaming,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-08 Dharma KC , Clayton T. Morrison

Although shape correspondence is a central problem in geometry processing, most methods for this task apply only to two-dimensional surfaces. The neglected task of volumetric correspondence--a natural extension relevant to shapes extracted…

Graphics · Computer Science 2022-11-29 S. Mazdak Abulnaga , Oded Stein , Polina Golland , Justin Solomon

Modern 3D engines and graphics pipelines require mesh as a memory-efficient representation, which allows efficient rendering, geometry processing, texture editing, and many other downstream operations. However, it is still highly difficult…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Isabella Liu , Hao Su , Xiaolong Wang

We consider the problem of establishing dense correspondences within a set of related shapes of strongly varying geometry. For such input, traditional shape matching approaches often produce unsatisfactory results. We propose an ensemble…

Graphics · Computer Science 2017-10-10 Oliver Burghard , Alexander Berner , Michael Wand , Niloy Mitra , Hans-Peter Seidel , Reinhard Klein

Inferring geometrically consistent dense 3D scenes across a tuple of temporally consecutive images remains challenging for self-supervised monocular depth prediction pipelines. This paper explores how the increasingly popular transformer…

Computer Vision and Pattern Recognition · Computer Science 2021-10-18 Patrick Ruhkamp , Daoyi Gao , Hanzhi Chen , Nassir Navab , Benjamin Busam

Deformable image registration estimates voxel-wise correspondences between images through spatial transformations, and plays a key role in medical imaging. While deep learning methods have significantly reduced runtime, efficiently handling…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Tianran Li , Marius Staring , Yuchuan Qiao

Generating high-quality meshes with complex structures and realistic surfaces is the primary goal of 3D generative models. Existing methods typically employ sequence data or deformable tetrahedral grids for mesh generation. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Ruowei Wang , Jiaqi Li , Dan Zeng , Xueqi Ma , Zixiang Xu , Jianwei Zhang , Qijun Zhao

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