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The objective of this paper is to learn dense 3D shape correspondence for topology-varying generic objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Feng Liu , Xiaoming Liu

This paper presents a new method for 3D shape reconstruction based on two existing methods. A 3D reconstruction from a single photograph is introduced by both papers: the first one uses a photograph and a set of existing 3D model to…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Yong Khoo

In this paper we propose a fully automatic method for shape correspondence that is widely applicable, and especially effective for non isometric shapes and shapes of different topology. We observe that fully-automatic shape correspondence…

Graphics · Computer Science 2020-08-26 Michal Edelstein , Danielle Ezuz , Mirela Ben-Chen

We present a novel sparse modeling approach to non-rigid shape matching using only the ability to detect repeatable regions. As the input to our algorithm, we are given only two sets of regions in two shapes; no descriptors are provided so…

Graphics · Computer Science 2012-10-01 J. Pokrass , A. M. Bronstein , M. M. Bronstein , P. Sprechmann , G. Sapiro

The question of representation of 3D geometry is of vital importance when it comes to leveraging the recent advances in the field of machine learning for geometry processing tasks. For common unstructured surface meshes state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Isaak Lim , Alexander Dielen , Marcel Campen , Leif Kobbelt

We consider the problem of computing dense correspondences between non-rigid shapes with potentially significant partiality. Existing formulations tackle this problem through heavy manifold optimization in the spectral domain, given…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Souhaib Attaiki , Gautam Pai , Maks Ovsjanikov

The goal of this paper is to learn dense 3D shape correspondence for topology-varying objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead, our novel…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Feng Liu , Xiaoming Liu

Estimating correspondences between pairs of deformable shapes remains a challenging problem. Despite substantial progress, existing methods lack broad generalization capabilities and require category-specific training data. To address these…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Aleksei Zhuravlev , Zorah Lähner , Vladislav Golyanik

In this paper we propose an approach for computing multiple high-quality near-isometric dense correspondences between a pair of 3D shapes. Our method is fully automatic and does not rely on user-provided landmarks or descriptors. This…

Graphics · Computer Science 2020-09-11 Jing Ren , Simone Melzi , Maks Ovsjanikov , Peter Wonka

Establishing semantic correspondence across images when the objects in the images have undergone complex deformations remains a challenging task in the field of computer vision. In this paper, we propose a hierarchical method to tackle this…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Akila Pemasiri , Kien Nguyen , Sridha Sridhara , and Clinton Fookes

We introduce a probabilistic approach to ptychographic reconstruction in computational imaging. Ptychography is an imaging method where the complex amplitude of an object is estimated from a sequence of diffraction measurements. We…

Applications · Statistics 2025-04-09 Hajime Ueda , Shun Katakami , Masato Okada

Bayesian probabilistic numerical methods are a set of tools providing posterior distributions on the output of numerical methods. The use of these methods is usually motivated by the fact that they can represent our uncertainty due to…

Computation · Statistics 2018-08-01 Xiaoyue Xi , François-Xavier Briol , Mark Girolami

We investigate the problem of estimating the 3D shape of an object defined by a set of 3D landmarks, given their 2D correspondences in a single image. A successful approach to alleviating the reconstruction ambiguity is the 3D deformable…

Computer Vision and Pattern Recognition · Computer Science 2017-01-12 Xiaowei Zhou , Menglong Zhu , Spyridon Leonardos , Kostas Daniilidis

In this paper, a feature extraction approach for the deformable linear object is presented, which uses a Bezier curve to represent the original geometric shape. The proposed extraction strategy is combined with a parameterization technique,…

Robotics · Computer Science 2023-12-29 Fangqing Chen

6D pose estimation is a central problem in robot vision. Compared with pose estimation based on point correspondences or its robust versions, correspondence-free methods are often more flexible. However, existing correspondence-free methods…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Quan Quan , Dun Dai

Since their introduction in the shape analysis community, functional maps have met with considerable success due to their ability to compactly represent dense correspondences between deformable shapes, with applications ranging from shape…

Computer Vision and Pattern Recognition · Computer Science 2015-06-19 Emanuele Rodolà , Michael Moeller , Daniel Cremers

Computer vision has long relied on two kinds of correspondences: pixel correspondences in images and 3D correspondences on object surfaces. Is there another kind, and if there is, what can they do for us? In this paper, we introduce…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Kohei Yamashita , Vincent Lepetit , Ko Nishino

Computed tomography is a method for synthesizing volumetric or cross-sectional images of an object from a collection of projections. Popular reconstruction methods for computed tomography are based on idealized models and assumptions that…

Numerical Analysis · Mathematics 2022-03-03 Frederik H. Pedersen , Jakob S. Jørgensen , Martin S. Andersen

In the usual Bayesian setting, a full probabilistic model is required to link the data and parameters, and the form of this model and the inference and prediction mechanisms are specified via de Finetti's representation. In general, such a…

Methodology · Statistics 2026-01-21 Yu Luo , David A. Stephens , Daniel J. Graham , Emma J. McCoy

We consider the problem of localizing relevant subsets of non-rigid geometric shapes given only a partial 3D query as the input. Such problems arise in several challenging tasks in 3D vision and graphics, including partial shape similarity,…

Computational Geometry · Computer Science 2019-06-17 Arianna Rampini , Irene Tallini , Maks Ovsjanikov , Alex M. Bronstein , Emanuele Rodolà