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Reconstructing coherent 3D geometry and appearance from unposed multi-view images is a fundamental yet challenging problem in computer vision. Most existing visual geometry foundation models predict explicit geometry by regressing…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Yuqi Wu , Tianyu Hu , Wenzhao Zheng , Yuanhui Huang , Haowen Sun , Jie Zhou , Jiwen Lu

Implicit neural representations are powerful for geometric modeling, but their practical use is often limited by the high computational cost of network evaluations. We observe that implicit representations require progressively lower…

Graphics · Computer Science 2026-04-30 Chuanxiang Yang , Junhui Hou , Yuan Liu , Siyu Ren , Guangshun Wei , Taku Komura , Yuanfeng Zhou , Wenping Wang

Representing surfaces as zero level sets of neural networks recently emerged as a powerful modeling paradigm, named Implicit Neural Representations (INRs), serving numerous downstream applications in geometric deep learning and 3D vision.…

Machine Learning · Computer Science 2021-06-16 Yaron Lipman

While many works focus on 3D reconstruction from images, in this paper, we focus on 3D shape reconstruction and completion from a variety of 3D inputs, which are deficient in some respect: low and high resolution voxels, sparse and dense…

Computer Vision and Pattern Recognition · Computer Science 2020-04-16 Julian Chibane , Thiemo Alldieck , Gerard Pons-Moll

In this work, we introduce the first unsupervised method that simultaneously predicts time-varying neural implicit surfaces and deformations between pairs of point clouds. We propose to model the point movement using an explicit velocity…

Computer Vision and Pattern Recognition · Computer Science 2025-01-27 Lu Sang , Zehranaz Canfes , Dongliang Cao , Florian Bernard , Daniel Cremers

In the reconstruction process of unknown multiple scattering objects in inverse medium scattering problems, the first important step is to effectively locate some approximate domains that contain all inhomogeneous media. Without such an…

Numerical Analysis · Mathematics 2015-06-12 Keji Liu , Jun Zou

Recent advances show that semi-supervised implicit representation learning can be achieved through physical constraints like Eikonal equations. However, this scheme has not yet been successfully used for LiDAR point cloud data, due to its…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Pengfei Li , Yongliang Shi , Tianyu Liu , Hao Zhao , Guyue Zhou , Ya-Qin Zhang

We introduce a neural implicit framework that exploits the differentiable properties of neural networks and the discrete geometry of point-sampled surfaces to approximate them as the level sets of neural implicit functions. To train a…

Graphics · Computer Science 2024-03-07 Tiago Novello , Guilherme Schardong , Luiz Schirmer , Vinicius da Silva , Helio Lopes , Luiz Velho

In this work, we consider the problem of reconstructing the shape of a three dimensional impenetrable sound-soft axis-symmetric obstacle from measurements of the scattered field at multiple frequencies. This problem has important…

Numerical Analysis · Mathematics 2020-10-28 Carlos Borges , Jun Lai

Iterative refinement -- start with a random guess, then iteratively improve the guess -- is a useful paradigm for representation learning because it offers a way to break symmetries among equally plausible explanations for the data. This…

Machine Learning · Computer Science 2023-01-03 Michael Chang , Thomas L. Griffiths , Sergey Levine

We propose an end-to-end deep learning framework that comprehensively solves the inverse wave scattering problem across all length scales. Our framework consists of the newly introduced wide-band butterfly network coupled with a simple…

Numerical Analysis · Mathematics 2021-06-03 Matthew Li , Laurent Demanet , Leonardo Zepeda-Núñez

High fidelity representation of shapes with arbitrary topology is an important problem for a variety of vision and graphics applications. Owing to their limited resolution, classical discrete shape representations using point clouds, voxels…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Rahul Venkatesh , Sarthak Sharma , Aurobrata Ghosh , Laszlo Jeni , Maneesh Singh

Precise representations of 3D faces are beneficial to various computer vision and graphics applications. Due to the data discretization and model linearity, however, it remains challenging to capture accurate identity and expression clues…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Mingwu Zheng , Hongyu Yang , Di Huang , Liming Chen

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

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

Implicit neural fields, typically encoded by a multilayer perceptron (MLP) that maps from coordinates (e.g., xyz) to signals (e.g., signed distances), have shown remarkable promise as a high-fidelity and compact representation. However, the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Ziya Erkoç , Fangchang Ma , Qi Shan , Matthias Nießner , Angela Dai

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Mahrokh Najaf , Gregory Ongie

Recent works on implicit neural representations have made significant strides. Learning implicit neural surfaces using volume rendering has gained popularity in multi-view reconstruction without 3D supervision. However, accurately…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Decai Chen , Peng Zhang , Ingo Feldmann , Oliver Schreer , Peter Eisert

We consider the inverse acoustic obstacle problem for sound-soft star-shaped obstacles in two dimensions wherein the boundary of the obstacle is determined from measurements of the scattered field at a collection of receivers outside the…

Numerical Analysis · Mathematics 2023-08-04 Mo Zhou , Jiequn Han , Manas Rachh , Carlos Borges

Very recently neural implicit rendering techniques have been rapidly evolved and shown great advantages in novel view synthesis and 3D scene reconstruction. However, existing neural rendering methods for editing purposes offer limited…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Bangbang Yang , Chong Bao , Junyi Zeng , Hujun Bao , Yinda Zhang , Zhaopeng Cui , Guofeng Zhang