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We suggest a novel shape matching algorithm for three-dimensional surface meshes of disk or sphere topology. The method is based on the physical theory of nonlinear elasticity and can hence handle large rotations and deformations.…

Computational Geometry · Computer Science 2015-07-29 Konrad Simon , Sameer Sheorey , David Jacobs , Ronen Basri

Objects moving at high speed appear significantly blurred when captured with cameras. The blurry appearance is especially ambiguous when the object has complex shape or texture. In such cases, classical methods, or even humans, are unable…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Denys Rozumnyi , Martin R. Oswald , Vittorio Ferrari , Jiri Matas , Marc Pollefeys

We present a method for nonrigid registration of 2-D geometric shapes. Our contribution is twofold. First, we extend the classic chamfer-matching energy to a variational functional. Secondly, we introduce a meshless deformation model that…

Computer Vision and Pattern Recognition · Computer Science 2011-04-22 Wei Liu , Eraldo Ribeiro

We propose a method for constructing generative models of 3D objects from a single 3D mesh. Our method produces a 3D morphable model that represents shape and albedo in terms of Gaussian processes. We define the shape deformations in…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Skylar Sutherland , Bernhard Egger , Joshua Tenenbaum

In recent years, there has been a growing interest in using machine learning to overcome the high cost of numerical simulation, with some learned models achieving impressive speed-ups over classical solvers whilst maintaining accuracy.…

Machine Learning · Computer Science 2022-10-04 Meire Fortunato , Tobias Pfaff , Peter Wirnsberger , Alexander Pritzel , Peter Battaglia

Deformable image registration poses a challenging problem where, unlike most deep learning tasks, a complex relationship between multiple coordinate systems has to be considered. Although data-driven methods have shown promising…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Vasiliki Sideri-Lampretsa , Nil Stolt-Ansó , Huaqi Qiu , Julian McGinnis , Wenke Karbole , Martin Menten , Daniel Rueckert

Establishing character shape correspondence is a critical and fundamental task in computer vision and graphics, with diverse applications including re-topology, attribute transfer, and shape interpolation. Current dominant functional map…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Haolin Liu , Xiaohang Zhan , Zizheng Yan , Zhongjin Luo , Yuxin Wen , Xiaoguang Han

Mesh optimization procedures are generally a combination of node smoothing and discrete operations which affect a small number of elements to improve the quality of the overall mesh. These procedures are useful as a post-processing step in…

Numerical Analysis · Mathematics 2023-10-18 Andrew Shi , Per-Olof Persson

We present a real-time deformation method for Escher tiles -- interlocking organic forms that seamlessly tessellate the plane following symmetry rules. We formulate the problem as determining a periodic displacement field. The goal is to…

Graphics · Computer Science 2025-07-01 Crane He Chen , Vladimir G. Kim

Shape deformation is an important component in any geometry processing toolbox. The goal is to enable intuitive deformations of single or multiple shapes or to transfer example deformations to new shapes while preserving the plausibility of…

Graphics · Computer Science 2020-09-04 Minhyuk Sung , Zhenyu Jiang , Panos Achlioptas , Niloy J. Mitra , Leonidas J. Guibas

Recent probabilistic methods for 3D triangular meshes capture diverse shapes by differentiable mesh connectivity, but face high computational costs with increased shape details. We introduce a new differentiable mesh processing method that…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Matthew Fisher , Zexiang Xu , Yi-Ling Qiao , Ming C. Lin , Yi Zhou

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

Establishing a correspondence between two non-rigidly deforming shapes is one of the most fundamental problems in visual computing. Existing methods often show weak resilience when presented with challenges innate to real-world data such as…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Ramana Sundararaman , Gautam Pai , Maks Ovsjanikov

We propose a new shape analysis approach based on the non-local analysis of local shape variations. Our method relies on a novel description of shape variations, called Local Probing Field (LPF), which describes how a local probing operator…

Computational Geometry · Computer Science 2017-11-03 Julie Digne , Sébastien Valette , Raphaëlle Chaine

We present a parametric deformable model which recovers image components with a complexity independent from the resolution of input images. The proposed model also automatically changes its topology and remains fully compatible with the…

Computer Vision and Pattern Recognition · Computer Science 2009-06-18 Jacques-Olivier Lachaud , Benjamin Taton

When learning simulations for modeling physical phenomena in industrial designs, geometrical variabilities are of prime interest. While classical regression techniques prove effective for parameterized geometries, practical scenarios often…

Machine Learning · Computer Science 2023-10-24 Fabien Casenave , Brian Staber , Xavier Roynard

We introduce a novel learning-based method for encoding and manipulating 3D surface meshes. Our method is specifically designed to create an interpretable embedding space for deformable shape collections. Unlike previous 3D mesh…

Computer Vision and Pattern Recognition · Computer Science 2023-10-30 Sara Hahner , Souhaib Attaiki , Jochen Garcke , Maks Ovsjanikov

Most 3D shape analysis methods use triangular meshes to discretize both the shape and functions on it as piecewise linear functions. With this representation, shape analysis requires fine meshes to represent smooth shapes and geometric…

Computer Vision and Pattern Recognition · Computer Science 2017-11-30 V. Estellers , F. R. Schmidt , D. Cremers

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

The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

Numerical Analysis · Mathematics 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern