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The inverse scattering problem is of critical importance in a number of fields, including medical imaging, sonar, sensing, non-destructive evaluation, and several others. The problem of interest can vary from detecting the shape to the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Doga Dikbayir , Abdel Alsnayyan , Vishnu Naresh Boddeti , Balasubramaniam Shanker , Hasan Metin Aktulga

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

Shape correspondence is a fundamental problem in computer graphics and vision, with applications in various problems including animation, texture mapping, robotic vision, medical imaging, archaeology and many more. In settings where the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Or Litany , Emanuele Rodolà , Alex Bronstein , Michael Bronstein , Daniel Cremers

3D point cloud registration is a fundamental problem in computer vision and robotics. There has been extensive research in this area, but existing methods meet great challenges in situations with a large proportion of outliers and time…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Kexue Fu , Shaolei Liu , Xiaoyuan Luo , Manning Wang

Indirect image registration is a promising technique to improve image reconstruction quality by providing a shape prior for the reconstruction task. In this paper, we propose a novel hybrid method that seeks to reconstruct high quality…

Image and Video Processing · Electrical Eng. & Systems 2019-12-18 Jiulong Liu , Angelica I. Aviles-Rivero , Hui Ji , Carola-Bibiane Schönlieb

Non-Rigid Structure from Motion (NRSfM) refers to the problem of reconstructing cameras and the 3D point cloud of a non-rigid object from an ensemble of images with 2D correspondences. Current NRSfM algorithms are limited from two…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Chen Kong , Simon Lucey

We introduce the first completely unsupervised correspondence learning approach for deformable 3D shapes. Key to our model is the understanding that natural deformations (such as changes in pose) approximately preserve the metric structure…

Computer Vision and Pattern Recognition · Computer Science 2018-12-07 Oshri Halimi , Or Litany , Emanuele Rodolà , Alex Bronstein , Ron Kimmel

We propose a novel unsupervised learning approach for non-rigid 3D shape matching. Our approach improves upon recent state-of-the art deep functional map methods and can be applied to a broad range of different challenging scenarios.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Dongliang Cao , Paul Roetzer , Florian Bernard

In deformable registration, the geometric framework - large deformation diffeomorphic metric mapping or LDDMM, in short - has inspired numerous techniques for comparing, deforming, averaging and analyzing shapes or images. Grounded in…

Artificial Intelligence · Computer Science 2022-05-11 Boulbaba Ben Amor , Sylvain Arguillère , Ling Shao

Neural networks that map 3D coordinates to signed distance function (SDF) or occupancy values have enabled high-fidelity implicit representations of object shape. This paper develops a new shape model that allows synthesizing novel distance…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Ehsan Zobeidi , Nikolay Atanasov

We introduce Neural Deformation Graphs for globally-consistent deformation tracking and 3D reconstruction of non-rigid objects. Specifically, we implicitly model a deformation graph via a deep neural network. This neural deformation graph…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Aljaž Božič , Pablo Palafox , Michael Zollhöfer , Justus Thies , Angela Dai , Matthias Nießner

Shape registration is the process of aligning one 3D model to another. Most previous methods to align shapes with no known correspondences attempt to solve for both the transformation and correspondences iteratively. We present a shape…

Computer Vision and Pattern Recognition · Computer Science 2017-02-21 Abhishek Kolagunda , Scott Sorensen , Philip Saponaro , Wayne Treible , Chandra Kambhamettu

Registration is an essential tool in image analysis. Deep learning based alternatives have recently become popular, achieving competitive performance at a faster speed. However, many contemporary techniques are limited to volumetric…

Image and Video Processing · Electrical Eng. & Systems 2021-09-29 Balder Croquet , Daan Christiaens , Seth M. Weinberg , Michael Bronstein , Dirk Vandermeulen , Peter Claes

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

Modern sensing technologies have enabled the collection of unstructured point cloud data (PCD) of varying sizes, which are used to monitor the geometric accuracy of 3D objects. PCD are widely applied in advanced manufacturing processes,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-22 Mariafrancesca Patalano , Giovanna Capizzi , Kamran Paynabar

We propose a method for efficiently computing orientation-preserving and approximately continuous correspondences between non-rigid shapes, using the functional maps framework. We first show how orientation preservation can be formulated…

Graphics · Computer Science 2018-10-04 Jing Ren , Adrien Poulenard , Peter Wonka , Maks Ovsjanikov

We present a new fully-automatic non-rigid 3D shape registration (morphing) framework comprising (1) a new 3D landmarking and pose normalisation method; (2) an adaptive shape template method to accelerate the convergence of registration…

Computer Vision and Pattern Recognition · Computer Science 2018-09-25 Hang Dai , Nick Pears , William Smith

Recent investigations on rotation invariance for 3D point clouds have been devoted to devising rotation-invariant feature descriptors or learning canonical spaces where objects are semantically aligned. Examinations of learning frameworks…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 Jianhui Yu , Chaoyi Zhang , Weidong Cai

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

In this paper, we explore the use of the diffusion geometry framework for the fusion of geometric and photometric information in local and global shape descriptors. Our construction is based on the definition of a diffusion process on the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-17 Artiom Kovnatsky , Michael M. Bronstein , Alexander M. Bronstein , Ron Kimmel