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We propose the first algorithm for non-rigid 2D-to-3D shape matching, where the input is a 2D shape represented as a planar curve and a 3D shape represented as a surface; the output is a continuous curve on the surface. We cast the problem…

Computer Vision and Pattern Recognition · Computer Science 2022-01-24 Zorah Lähner , Emanuele Rodolà , Frank R. Schmidt , Michael M. Bronstein , Daniel Cremers

Previous attempts to integrate Neural Radiance Fields (NeRF) into the Simultaneous Localization and Mapping (SLAM) framework either rely on the assumption of static scenes or require the ground truth camera poses, which impedes their…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Chengyao Duan , Zhiliu Yang

Surface comparison and matching is a challenging problem in computer vision. While reparametrization-invariant Sobolev metrics provide meaningful elastic distances and point correspondences via the geodesic boundary value problem, solving…

Computer Vision and Pattern Recognition · Computer Science 2021-06-11 Martin Bauer , Nicolas Charon , Philipp Harms , Hsi-Wei Hsieh

We propose a new methodology to estimate the 3D displacement field of deformable objects from video sequences using standard monocular cameras. We solve in real time the complete (possibly visco-)hyperelasticity problem to properly describe…

Computer Vision and Pattern Recognition · Computer Science 2021-10-14 Alberto Badias , Iciar Alfaro , David Gonzalez , Francisco Chinesta , Elias Cueto

We present a method to match three dimensional shapes under non-isometric deformations, topology changes and partiality. We formulate the problem as matching between a set of pair-wise and point-wise descriptors, imposing a continuity prior…

Computer Vision and Pattern Recognition · Computer Science 2017-09-18 Zorah Lähner , Matthias Vestner , Amit Boyarski , Or Litany , Ron Slossberg , Tal Remez , Emanuele Rodolà , Alex Bronstein , Michael Bronstein , Ron Kimmel , Daniel Cremers

Surface matching usually provides significant deformations that can lead to structural failure due to the lack of physical policy. In this context, partial surface matching of non-linear deformable bodies is crucial in engineering to govern…

Artificial Intelligence · Computer Science 2023-03-17 Alban Odot , Guillaume Mestdagh , Yannick Privat , Stéphane Cotin

We introduce a new problem of retrieving 3D models that are deformable to a given query shape and present a novel deep deformation-aware embedding to solve this retrieval task. 3D model retrieval is a fundamental operation for recovering a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-03 Mikaela Angelina Uy , Jingwei Huang , Minhyuk Sung , Tolga Birdal , Leonidas Guibas

Scene reconstruction from unorganized RGB images is an important task in many computer vision applications. Multi-view Stereo (MVS) is a common solution in photogrammetry applications for the dense reconstruction of a static scene. The…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Matthias Innmann , Kihwan Kim , Jinwei Gu , Matthias Niessner , Charles Loop , Marc Stamminger , Jan Kautz

This work focuses on a parameter-free joint piecewise smooth image denoising and contour detection. Formulated as the minimization of a discrete Mumford-Shah functional and estimated via a theoretically grounded alternating minimization…

Image and Video Processing · Electrical Eng. & Systems 2023-02-01 Charles-Gérard Lucas , Barbara Pascal , Nelly Pustelnik , Patrice Abry

This paper introduces a modular, non-deep learning method for filtering and refining sparse correspondences in image matching. Assuming that motion flow within the scene can be approximated by local homography transformations, matches are…

Computer Vision and Pattern Recognition · Computer Science 2025-12-24 Fabio Bellavia , Zhenjun Zhao , Luca Morelli , Fabio Remondino

Non-rigid registration computes an alignment between a source surface with a target surface in a non-rigid manner. In the past decade, with the advances in 3D sensing technologies that can measure time-varying surfaces, non-rigid…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Bailin Deng , Yuxin Yao , Roberto M. Dyke , Juyong Zhang

Applying data-driven approaches to non-rigid 3D reconstruction has been difficult, which we believe can be attributed to the lack of a large-scale training corpus. Unfortunately, this method fails for important cases such as highly…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Aljaž Božič , Michael Zollhöfer , Christian Theobalt , Matthias Nießner

This study presents a rigid-deformation decomposition framework for vehicle collision dynamics that mitigates the spectral bias of implicit neural representations, that is, coordinate-based neural networks that directly map spatio-temporal…

Computational Engineering, Finance, and Science · Computer Science 2025-12-18 Sanghyuk Kim , Minsik Seo , Sunwoong Yang , Namwoo Kang

Non-Rigid Structure-from-Motion (NRSfM) reconstructs a deformable 3D object from the correspondences established between monocular 2D images. Current NRSfM methods lack statistical robustness, which is the ability to cope with…

Computer Vision and Pattern Recognition · Computer Science 2021-06-03 Shaifali Parashar , Adrien Bartoli , Daniel Pizarro

In this paper, we study the back-end of simultaneous localization and mapping (SLAM) problem in deforming environment, where robot localizes itself and tracks multiple non-rigid soft surface using its onboard sensor measurements. An…

Robotics · Computer Science 2019-06-21 Jingwei Song , Liang Zhao , Shoudong Huang , Gamini Dissanayake

Many objects, especially these made by humans, are symmetric, e.g. cars and aeroplanes. This paper addresses the estimation of 3D structures of symmetric objects from multiple images of the same object category, e.g. different cars, seen…

Computer Vision and Pattern Recognition · Computer Science 2016-09-23 Yuan Gao , Alan Yuille

Reconstructing 2D freehand Ultrasound (US) frames into 3D space without using a tracker has recently seen advances with deep learning. Predicting good frame-to-frame rigid transformations is often accepted as the learning objective,…

Image and Video Processing · Electrical Eng. & Systems 2024-10-22 Qi Li , Ziyi Shen , Qianye Yang , Dean C. Barratt , Matthew J. Clarkson , Tom Vercauteren , Yipeng Hu

Driven by large data trained segmentation models, such as SAM , research in one-shot segmentation has experienced significant advancements. Recent contributions like PerSAM and MATCHER , presented at ICLR 2024, utilize a similar approach by…

Computer Vision and Pattern Recognition · Computer Science 2024-05-21 Zhiyu Xu , Qingliang Chen

Rigid structure-from-motion (RSfM) and non-rigid structure-from-motion (NRSfM) have long been treated in the literature as separate (different) problems. Inspired by a previous work which solved directly for 3D scene structure by factoring…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Pan Ji , Hongdong Li , Yuchao Dai , Ian Reid

We present a robust estimator for fitting multiple parametric models of the same form to noisy measurements. Applications include finding multiple vanishing points in man-made scenes, fitting planes to architectural imagery, or estimating…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Florian Kluger , Eric Brachmann , Hanno Ackermann , Carsten Rother , Michael Ying Yang , Bodo Rosenhahn