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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

This paper describes an interdisciplinary approach to geometry modeling of geospatial boundaries. The objective is to extract surfaces from irregular spatial patterns using differential geometry and obtain coherent directional predictions…

Computational Engineering, Finance, and Science · Computer Science 2020-06-09 Raymond Leung

In this paper, we investigate the extrapolation capabilities of implicit deep learning models in handling unobserved data, where traditional deep neural networks may falter. Implicit models, distinguished by their adaptability in layer…

Machine Learning · Computer Science 2024-07-22 Juliette Decugis , Alicia Y. Tsai , Max Emerling , Ashwin Ganesh , Laurent El Ghaoui

Neural implicit surfaces have become an important technique for multi-view 3D reconstruction but their accuracy remains limited. In this paper, we argue that this comes from the difficulty to learn and render high frequency textures with…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 François Darmon , Bénédicte Bascle , Jean-Clément Devaux , Pascal Monasse , Mathieu Aubry

In this work we target a learnable output representation that allows continuous, high resolution outputs of arbitrary shape. Recent works represent 3D surfaces implicitly with a Neural Network, thereby breaking previous barriers in…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Julian Chibane , Aymen Mir , Gerard Pons-Moll

Designs generated by density-based topology optimization (TO) exhibit jagged and/or smeared boundaries, which forms an obstacle to their integration with existing CAD tools. Addressing this problem by smoothing or manual design adjustments…

Computational Engineering, Finance, and Science · Computer Science 2020-04-14 Marco K. Swierstra , Deepak K. Gupta , Matthijs Langelaar

Implicit continuous models, such as functional models and implicit neural networks, are an increasingly popular method for replacing discrete data representations with continuous, high-order, and differentiable surrogates. These models…

Machine Learning · Computer Science 2025-08-12 Guanqun Ma , David Lenz , Hanqi Guo , Tom Peterka , Bei Wang

A deep equilibrium model uses implicit layers, which are implicitly defined through an equilibrium point of an infinite sequence of computation. It avoids any explicit computation of the infinite sequence by finding an equilibrium point…

Machine Learning · Computer Science 2021-02-19 Kenji Kawaguchi

Ray tracing is a widely used technique for modeling optical systems, involving sequential surface-by-surface computations, which can be computationally intensive. We propose Ray2Ray, a novel method that leverages implicit neural…

Machine Learning · Computer Science 2025-07-29 Shiva Sinaei , Chuanjun Zheng , Kaan Akşit , Daisuke Iwai

We present a method for differentiable rendering of 3D surfaces that supports both explicit and implicit representations, provides derivatives at occlusion boundaries, and is fast and simple to implement. The method first samples the…

Graphics · Computer Science 2021-08-12 Forrester Cole , Kyle Genova , Avneesh Sud , Daniel Vlasic , Zhoutong Zhang

Recently, implicit neural representations have gained popularity for learning-based 3D reconstruction. While demonstrating promising results, most implicit approaches are limited to comparably simple geometry of single objects and do not…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Songyou Peng , Michael Niemeyer , Lars Mescheder , Marc Pollefeys , Andreas Geiger

LiDAR depth completion is a task that predicts depth values for every pixel on the corresponding camera frame, although only sparse LiDAR points are available. Most of the existing state-of-the-art solutions are based on deep neural…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Yiming Zhao , Lin Bai , Ziming Zhang , Xinming Huang

We introduce a new approach for reconstruction and novel view synthesis of unbounded real-world scenes. In contrast to previous methods using either volumetric fields, grid-based models, or discrete point cloud proxies, we propose a hybrid…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Florian Hahlbohm , Linus Franke , Moritz Kappel , Susana Castillo , Martin Eisemann , Marc Stamminger , Marcus Magnor

We present a method for recovering the shape and radiance of a scene consisting of multiple people given solely a few images. Multi-human scenes are complex due to additional occlusion and clutter. For single-human settings, existing…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Qian li , Victoria Fernàndez Abrevaya , Franck Multon , Adnane Boukhayma

Methods from computational topology are becoming more and more popular in computer vision and have shown to improve the state-of-the-art in several tasks. In this paper, we investigate the applicability of topological descriptors in the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Matthias Zeppelzauer , Bartosz Zielinski , Mateusz Juda , Markus Seidl

An algorithm is presented for the computation of the topology of a non-reduced space curve defined as the intersection of two implicit algebraic surfaces. It computes a Piecewise Linear Structure (PLS) isotopic to the original space curve.…

Commutative Algebra · Mathematics 2008-12-18 Daouda Niang Diatta , Bernard Mourrain , Olivier Ruatta

We present Hybrid-CSR, a geometric deep-learning model that combines explicit and implicit shape representations for cortical surface reconstruction. Specifically, Hybrid-CSR begins with explicit deformations of template meshes to obtain…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Shanlin Sun , Thanh-Tung Le , Chenyu You , Hao Tang , Kun Han , Haoyu Ma , Deying Kong , Xiangyi Yan , Xiaohui Xie

We present a novel multi-view implicit surface reconstruction technique, termed StreetSurf, that is readily applicable to street view images in widely-used autonomous driving datasets, such as Waymo-perception sequences, without necessarily…

Computer Vision and Pattern Recognition · Computer Science 2023-06-09 Jianfei Guo , Nianchen Deng , Xinyang Li , Yeqi Bai , Botian Shi , Chiyu Wang , Chenjing Ding , Dongliang Wang , Yikang Li

The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

Optimization and Control · Mathematics 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

Recently, neural implicit surfaces learning by volume rendering has become popular for multi-view reconstruction. However, one key challenge remains: existing approaches lack explicit multi-view geometry constraints, hence usually fail to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-01 Qiancheng Fu , Qingshan Xu , Yew-Soon Ong , Wenbing Tao
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