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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

We present a deep learning pipeline that leverages network self-prior to recover a full 3D model consisting of both a triangular mesh and a texture map from the colored 3D point cloud. Different from previous methods either exploiting 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-08-25 Xingkui Wei , Zhengqing Chen , Yanwei Fu , Zhaopeng Cui , Yinda Zhang

Recent techniques have been successful in reconstructing surfaces as level sets of learned functions (such as signed distance fields) parameterized by deep neural networks. Many of these methods, however, learn only closed surfaces and are…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 David Palmer , Dmitriy Smirnov , Stephanie Wang , Albert Chern , Justin Solomon

We present a comprehensive survey and benchmark of both traditional and learning-based methods for surface reconstruction from point clouds. This task is particularly challenging for real-world acquisitions due to factors such as noise,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Raphael Sulzer , Renaud Marlet , Bruno Vallet , Loic Landrieu

This paper introduces a novel framework called DTNet for 3D mesh reconstruction and generation via Disentangled Topology. Beyond previous works, we learn a topology-aware neural template specific to each input then deform the template to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-13 Ka-Hei Hui , Ruihui Li , Jingyu Hu , Chi-Wing Fu

Neural implicit representations have emerged as a powerful paradigm for 3D reconstruction. However, despite their success, existing methods fail to capture fine geometric details and thin structures, especially in scenarios where only…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Aarya Patel , Hamid Laga , Ojaswa Sharma

We present Neural Shape Deformation Priors, a novel method for shape manipulation that predicts mesh deformations of non-rigid objects from user-provided handle movements. State-of-the-art methods cast this problem as an optimization task,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Jiapeng Tang , Lev Markhasin , Bi Wang , Justus Thies , Matthias Nießner

We present a new meshing algorithm called guided and augmented meshing, GAMesh, which uses a mesh prior to generate a surface for the output points of a point network. By projecting the output points onto this prior and simplifying the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Nitin Agarwal , M Gopi

We introduce a novel framework that directly learns a spectral basis for shape and manifold analysis from unstructured data, eliminating the need for traditional operator selection, discretization, and eigensolvers. Grounded in…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Roy Velich , Arkadi Piven , David Bensaïd , Daniel Cremers , Thomas Dagès , Ron Kimmel

A key step in any scanning-based asset creation workflow is to convert unordered point clouds to a surface. Classical methods (e.g., Poisson reconstruction) start to degrade in the presence of noisy and partial scans. Hence, deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-02-14 Philipp Erler , Paul Guerrero , Stefan Ohrhallinger , Michael Wimmer , Niloy J. Mitra

Gaussian process regression is widely used because of its ability to provide well-calibrated uncertainty estimates and handle small or sparse datasets. However, it struggles with high-dimensional data. One possible way to scale this…

Machine Learning · Statistics 2024-02-02 Bernardo Fichera , Viacheslav Borovitskiy , Andreas Krause , Aude Billard

Choosing the right representation for geometry is crucial for making 3D models compatible with existing applications. Focusing on piecewise-smooth man-made shapes, we propose a new representation that is usable in conventional CAD modeling…

Graphics · Computer Science 2021-02-11 Dmitriy Smirnov , Mikhail Bessmeltsev , Justin Solomon

Man-made objects usually exhibit descriptive curved features (i.e., curve networks). The curve network of an object conveys its high-level geometric and topological structure. We present a framework for extracting feature curve networks…

Graphics · Computer Science 2016-03-30 Yuanhao Cao , Liangliang Nan , Peter Wonka

This work is concerned with a representation of shapes that disentangles fine, local and possibly repeating geometry, from global, coarse structures. Achieving such disentanglement leads to two unrelated advantages: i) a significant…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Luca Morreale , Noam Aigerman , Paul Guerrero , Vladimir G. Kim , Niloy J. Mitra

Recent learning approaches that implicitly represent surface geometry using coordinate-based neural representations have shown impressive results in the problem of multi-view 3D reconstruction. The effectiveness of these techniques is,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Eduard Ramon , Gil Triginer , Janna Escur , Albert Pumarola , Jaime Garcia , Xavier Giro-i-Nieto , Francesc Moreno-Noguer

Recent years have witnessed significant progress in the field of neural surface reconstruction. While the extensive focus was put on volumetric and implicit approaches, a number of works have shown that explicit graphics primitives such as…

Computer Vision and Pattern Recognition · Computer Science 2023-04-07 Sergey Prokudin , Qianli Ma , Maxime Raafat , Julien Valentin , Siyu Tang

This work provides a computable, direct, and mathematically rigorous approximation to the differential geometry of class manifolds for high-dimensional data, along with nonlinear projections from input space onto these class manifolds. The…

Machine Learning · Computer Science 2023-08-24 Aaron Mahler , Tyrus Berry , Tom Stephens , Harbir Antil , Michael Merritt , Jeanie Schreiber , Ioannis Kevrekidis

Recently, great progress has been made in 3D deep learning with the emergence of deep neural networks specifically designed for 3D point clouds. These networks are often trained from scratch or from pre-trained models learned purely from…

Computer Vision and Pattern Recognition · Computer Science 2022-10-31 Bach Tran , Binh-Son Hua , Anh Tuan Tran , Minh Hoai

3D object reconstruction from a single-view image is a long-standing challenging problem. Previous work was difficult to accurately reconstruct 3D shapes with a complex topology which has rich details at the edges and corners. Moreover,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Lei Li , Suping Wu

We present an approach to inform the reconstruction of a surface from a point scan through topological priors. The reconstruction is based on basis functions which are optimized to provide a good fit to the point scan while satisfying…

Computational Geometry · Computer Science 2021-09-17 Rickard Brüel-Gabrielsson , Vignesh Ganapathi-Subramanian , Primoz Skraba , Leonidas J. Guibas