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This work proposes an algorithm for explicitly constructing a pair of neural networks that linearize and reconstruct an embedded submanifold, from finite samples of this manifold. Our such-generated neural networks, called Flattening…

Machine Learning · Computer Science 2023-09-11 Michael Psenka , Druv Pai , Vishal Raman , Shankar Sastry , Yi Ma

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

Template 3D shapes are useful for many tasks in graphics and vision, including fitting observation data, analyzing shape collections, and transferring shape attributes. Because of the variety of geometry and topology of real-world shapes,…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Kyle Genova , Forrester Cole , Daniel Vlasic , Aaron Sarna , William T. Freeman , Thomas Funkhouser

The shapes and morphology of the organs and tissues are important prior knowledge in medical imaging recognition and segmentation. The morphological operation is a well-known method for morphological feature extraction. As the morphological…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Chentian Li , Chi Ma , William W. Lu

We present a neural operator framework for solving inverse scattering problems. A neural operator produces a preliminary indicator function for the scatterer, which, after appropriate rescaling, is used as a regularization parameter within…

Numerical Analysis · Mathematics 2026-03-02 Victor Chenu , Houssem Haddar , Hadrien Montanelli

Efficient and fast reconstruction of anatomical structures plays a crucial role in clinical practice. Minimizing retrieval and processing times not only potentially enhances swift response and decision-making in critical scenarios but also…

Deep Operator Networks (DeepONets) and their physics-informed variants have shown significant promise in learning mappings between function spaces of partial differential equations, enhancing the generalization of traditional neural…

Machine Learning · Computer Science 2025-01-08 Milad Ramezankhani , Anirudh Deodhar , Rishi Yash Parekh , Dagnachew Birru

Unpaired 3D object completion aims to predict a complete 3D shape from an incomplete input without knowing the correspondence between the complete and incomplete shapes. In this paper, we propose the novel KTNet to solve this task from the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Zhen Cao , Wenxiao Zhang , Xin Wen , Zhen Dong , Yu-shen Liu , Xiongwu Xiao , Bisheng Yang

We propose a new approach for constructing a 3D representation from a 2D wireframe drawing. A drawing is simply a parallel projection of a 3D object onto a 2D surface; humans are able to recreate mental 3D models from 2D representations…

Computer Vision and Pattern Recognition · Computer Science 2010-07-16 Kyle Johnson , Clayton Chang , Hod Lipson

The ability to generate novel, diverse, and realistic 3D shapes along with associated part semantics and structure is central to many applications requiring high-quality 3D assets or large volumes of realistic training data. A key challenge…

Graphics · Computer Science 2019-08-05 Kaichun Mo , Paul Guerrero , Li Yi , Hao Su , Peter Wonka , Niloy Mitra , Leonidas J. Guibas

Mesh is an important and powerful type of data for 3D shapes and widely studied in the field of computer vision and computer graphics. Regarding the task of 3D shape representation, there have been extensive research efforts concentrating…

Computer Vision and Pattern Recognition · Computer Science 2018-11-29 Yutong Feng , Yifan Feng , Haoxuan You , Xibin Zhao , Yue Gao

We propose a method for 3D shape reconstruction from unoriented point clouds. Our method consists of a novel SE(3)-equivariant coordinate-based network (TF-ONet), that parametrizes the occupancy field of the shape and respects the inherent…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Evangelos Chatzipantazis , Stefanos Pertigkiozoglou , Edgar Dobriban , Kostas Daniilidis

Neural representations have emerged as a new paradigm for applications in rendering, imaging, geometric modeling, and simulation. Compared to traditional representations such as meshes, point clouds, or volumes they can be flexibly…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Julien N. P. Martel , David B. Lindell , Connor Z. Lin , Eric R. Chan , Marco Monteiro , Gordon Wetzstein

We introduce RIM-Net, a neural network which learns recursive implicit fields for unsupervised inference of hierarchical shape structures. Our network recursively decomposes an input 3D shape into two parts, resulting in a binary tree…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Chengjie Niu , Manyi Li , Kai Xu , Hao Zhang

In this work, we present a new method for 3D face reconstruction from sparse-view RGB images. Unlike previous methods which are built upon 3D morphable models (3DMMs) with limited details, we leverage an implicit representation to encode…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Moran Li , Haibin Huang , Yi Zheng , Mengtian Li , Nong Sang , Chongyang Ma

Human shape estimation is an important task for video editing, animation and fashion industry. Predicting 3D human body shape from natural images, however, is highly challenging due to factors such as variation in human bodies, clothing and…

Computer Vision and Pattern Recognition · Computer Science 2018-08-21 Gül Varol , Duygu Ceylan , Bryan Russell , Jimei Yang , Ersin Yumer , Ivan Laptev , Cordelia Schmid

We present DeepMend, a novel approach to reconstruct restorations to fractured shapes using learned occupancy functions. Existing shape repair approaches predict low-resolution voxelized restorations, or require symmetries or access to a…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Nikolas Lamb , Sean Banerjee , Natasha Kholgade Banerjee

In this paper a semi-supervised deep framework is proposed for the problem of 3D shape inverse rendering from a single 2D input image. The main structure of proposed framework consists of unsupervised pre-trained components which…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Shima Kamyab , S. Zohreh Azimifar

The recent impressive results of deep learning-based methods on computer vision applications brought fresh air to the research and industrial community. This success is mainly due to the process that allows those methods to learn…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Keiller Nogueira , Jocelyn Chanussot , Mauro Dalla Mura , Jefersson A. dos Santos

We present a novel method for computing correspondences across 3D shapes using unsupervised learning. Our method computes a non-linear transformation of given descriptor functions, while optimizing for global structural properties of the…

Graphics · Computer Science 2019-08-23 Jean-Michel Roufosse , Abhishek Sharma , Maks Ovsjanikov