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Recovering a 3D surface from its surface normal map, a problem known as normal integration, is a key component for photometric shape reconstruction techniques such as shape-from-shading and photometric stereo. The vast majority of existing…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Francesco Milano , Manuel López-Antequera , Naina Dhingra , Roland Siegwart , Robert Thiel

The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, photometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Yvain Quéau , Jean-Denis Durou , Jean-François Aujol

Learning to reconstruct depths in a single image by watching unlabeled videos via deep convolutional network (DCN) is attracting significant attention in recent years. In this paper, we introduce a surface normal representation for…

Computer Vision and Pattern Recognition · Computer Science 2017-11-13 Zhenheng Yang , Peng Wang , Wei Xu , Liang Zhao , Ramakant Nevatia

This paper proposes a fast and accurate surface normal estimation method which can be directly used on depth maps (organized point clouds). The surface normal estimation process is formulated as a closed-form expression. In order to reduce…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Saed Moradi , Alireza Memarmoghadam , Denis Laurendeau

Discontinuities in spatial derivatives appear in a wide range of physical systems, from creased thin sheets to materials with sharp stiffness transitions. Accurately modeling these features is essential for simulation but remains…

Graphics · Computer Science 2025-05-28 Mengfei Liu , Yue Chang , Zhecheng Wang , Peter Yichen Chen , Eitan Grinspun

Depth estimation is an essential component in understanding the 3D geometry of a scene, with numerous applications in urban and indoor settings. These scenes are characterized by a prevalence of human made structures, which in most of the…

Computer Vision and Pattern Recognition · Computer Science 2020-09-03 Mattia Rossi , Mireille El Gheche , Andreas Kuhn , Pascal Frossard

The need for efficient normal integration methods is driven by several computer vision tasks such as shape-from-shading, photometric stereo, deflectometry, etc. In the first part of this survey, we select the most important properties that…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Yvain Quéau , Jean-Denis Durou , Jean-François Aujol

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

Computing the gradients of a rendering process is paramount for diverse applications in computer vision and graphics. However, accurate computation of these gradients is challenging due to discontinuities and rendering approximations,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Stanislav Pidhorskyi , Tomas Simon , Gabriel Schwartz , He Wen , Yaser Sheikh , Jason Saragih

Discontinuity preserving smoothing is a fundamentally important procedure that is useful in a wide variety of image processing contexts. It is directly useful for noise reduction, and frequently used as an intermediate step in higher level…

Computer Vision and Pattern Recognition · Computer Science 2011-03-31 Stuart B. Heinrich , Wesley E. Snyder

Surface normal integration is a fundamental problem in computer vision, dealing with the objective of reconstructing a surface from its corresponding normal map. Existing approaches require an iterative global optimization to jointly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Francesco Milano , Jen Jen Chung , Lionel Ott , Roland Siegwart

Implicitly described domains are a well established tool in the simulation of time dependent problems, e.g. using level-set methods. In order to solve partial differential equations on such domains, a range of numerical methods was…

Numerical Analysis · Computer Science 2016-01-16 Christian Engwer , Andreas Nüßing

We address the problem of reconstructing 3D surfaces from depth and surface normal maps acquired by a sensor system based on a single perspective camera. Depth and normal maps can be obtained through techniques such as structured-light…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Ondrej Hlinka , Georg Kaniak , Christian Kapeller

We present a general and intuitive ambiguity model for intersections, junctions and other structures in binary edge images. The model is combined with edge tracing, where edges are ordered sequences of connected pixels. The objective is to…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Markus Hennig , Marc Leineke , Bärbel Mertsching

Learning implicit surface directly from raw data recently has become a very attractive representation method for 3D reconstruction tasks due to its excellent performance. However, as the raw data quality deteriorates, the implicit functions…

Computer Vision and Pattern Recognition · Computer Science 2023-01-13 Xiaogang Wang , Yuhang Cheng , Liang Wang , Jiangbo Lu , Kai Xu , Guoqiang Xiao

In this paper we introduce a novel method of gradient normalization and decay with respect to depth. Our method leverages the simple concept of normalizing all gradients in a deep neural network, and then decaying said gradients with…

Machine Learning · Computer Science 2018-03-01 Robert Kwiatkowski , Oscar Chang

Recovering high-quality surfaces from irregular point cloud is ill-posed unless strong geometric priors are available. We introduce an implicit self-prior approach that distills a shape-specific prior directly from the input point cloud…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Kyle Fogarty , Chenyue Cai , Jing Yang , Zhilin Guo , Cengiz Öztireli

Image reconstruction based on an edge-sparsity assumption has become popular in recent years. Many methods of this type are capable of reconstructing nearly perfect edge-sparse images using limited data. In this paper, we present a method…

Image and Video Processing · Electrical Eng. & Systems 2019-02-04 Victor Churchill , Anne Gelb

We present a novel method for single image depth estimation using surface normal constraints. Existing depth estimation methods either suffer from the lack of geometric constraints, or are limited to the difficulty of reliably capturing…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Xiaoxiao Long , Cheng Lin , Lingjie Liu , Wei Li , Christian Theobalt , Ruigang Yang , Wenping Wang

The state-of-the-art (SoTA) surface normal estimators (SNEs) generally translate depth images into surface normal maps in an end-to-end fashion. Although such SNEs have greatly minimized the trade-off between efficiency and accuracy, their…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Nan Ming , Yi Feng , Rui Fan
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