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This paper presents a probabilistic approach for online dense reconstruction using a single monocular camera moving through the environment. Compared to spatial stereo, depth estimation from motion stereo is challenging due to insufficient…

Robotics · Computer Science 2019-03-27 Yonggen Ling , Kaixuan Wang , Shaojie Shen

Since the introduction of the Sliced Wasserstein distance in the literature, its simplicity and efficiency have made it one of the most interesting surrogate for the Wasserstein distance in image processing and machine learning. However,…

Optimization and Control · Mathematics 2025-08-05 Eloi Tanguy , Laetitia Chapel , Julie Delon

Monocular 3D object detection has recently shown promising results, however there remain challenging problems. One of those is the lack of invariance to different camera intrinsic parameters, which can be observed across different 3D object…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Jonas Heylen , Mark De Wolf , Bruno Dawagne , Marc Proesmans , Luc Van Gool , Wim Abbeloos , Hazem Abdelkawy , Daniel Olmeda Reino

We present a novel approach for unsupervised learning of depth and ego-motion from monocular video. Unsupervised learning removes the need for separate supervisory signals (depth or ego-motion ground truth, or multi-view video). Prior work…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Reza Mahjourian , Martin Wicke , Anelia Angelova

Real-time estimation of actual object depth is an essential module for various autonomous system tasks such as 3D reconstruction, scene understanding and condition assessment. During the last decade of machine learning, extensive deployment…

Computer Vision and Pattern Recognition · Computer Science 2022-06-09 Christoph Angermann , Matthias Schwab , Markus Haltmeier , Christian Laubichler , Steinbjörn Jónsson

This paper presents a novel distribution-agnostic Wasserstein distance-based estimation framework. The goal is to determine an optimal map combining prior estimate with measurement likelihood such that posterior estimation error optimally…

Systems and Control · Electrical Eng. & Systems 2024-03-22 Himanshu Prabhat , Raktim Bhattacharya

Light-field cameras play a vital role for rich 3-D information retrieval in narrow range depth sensing applications. The key obstacle in composing light-fields from exposures taken by a plenoptic camera is to computationally calibrate,…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Christopher Hahne , Amar Aggoun

Computing the Wasserstein barycenter of a set of probability measures under the optimal transport metric can quickly become prohibitive for traditional second-order algorithms, such as interior-point methods, as the support size of the…

Optimization and Control · Mathematics 2020-01-22 Dongdong Ge , Haoyue Wang , Zikai Xiong , Yinyu Ye

The plug-in estimator of the squared Euclidean 2-Wasserstein distance is conservative, however due to its large positive bias it is often uninformative. We eliminate most of this bias using a simple centering procedure based on linear…

Machine Learning · Statistics 2025-04-30 Tamás P. Papp , Chris Sherlock

Recent generative models can produce high-fidelity videos, yet they often exhibit 3D spatial geometric inconsistencies. Existing evaluation methods fail to accurately characterize these inconsistencies: fidelity-centric metrics like FVD are…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Weijia Dou , Wenzhao Zheng , Weiliang Chen , Yu Zheng , Jie Zhou , Jiwen Lu

In this work clustering schemes for uncertain and structured data are considered relying on the notion of Wasserstein barycenters, accompanied by appropriate clustering indices based on the intrinsic geometry of the Wasserstein space where…

Most geometric approaches to monocular Visual Odometry (VO) provide robust pose estimates, but sparse or semi-dense depth estimates. Off late, deep methods have shown good performance in generating dense depths and VO from monocular images…

Robotics · Computer Science 2018-12-21 Vignesh Prasad , Brojeshwar Bhowmick

Monocular depth estimation has become one of the most studied applications in computer vision, where the most accurate approaches are based on fully supervised learning models. However, the acquisition of accurate and large ground truth…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Adrian Johnston , Gustavo Carneiro

Self-supervised depth estimation from monocular sequences relies on the joint learning of a depth and a pose network. Despite abundant research done to improve the depth network, efforts on the pose remain limited. In this context, even…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Changxuan Li , Nadine Berner , Nassir Navab , Federico Tombari , Stefano Gasperini

Monocular depth estimation has been a popular area of research for several years, especially since self-supervised networks have shown increasingly good results in bridging the gap with supervised and stereo methods. However, these…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Daniel Braun , Olivier Morel , Pascal Vasseur , Cédric Demonceaux

Geometric estimation is required for scene understanding and analysis in panoramic 360{\deg} images. Current methods usually predict a single feature, such as depth or surface normal. These methods can lack robustness, especially when…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Kun Huang , Fang-Lue Zhang , Fangfang Zhang , Yu-Kun Lai , Paul L. Rosin , Neil A. Dodgson

Point cloud registration approaches often fail when the overlap between point clouds is low due to noisy point correspondences. This work introduces a novel cross-attention mechanism tailored for Transformer-based architectures that tackles…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Weijie Wang , Guofeng Mei , Jian Zhang , Nicu Sebe , Bruno Lepri , Fabio Poiesi

Monocular 3D object detection is well-known to be a challenging vision task due to the loss of depth information; attempts to recover depth using separate image-only approaches lead to unstable and noisy depth estimates, harming 3D…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Ivan Barabanau , Alexey Artemov , Evgeny Burnaev , Vyacheslav Murashkin

The Wasserstein distance received a lot of attention recently in the community of machine learning, especially for its principled way of comparing distributions. It has found numerous applications in several hard problems, such as domain…

Machine Learning · Statistics 2017-10-23 Nicolas Courty , Rémi Flamary , Mélanie Ducoffe

How to extract significant point cloud features and estimate the pose between them remains a challenging question, due to the inherent lack of structure and ambiguous order permutation of point clouds. Despite significant improvements in…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Zhu Xu , Zhengyao Bai , Huijie Liu , Qianjie Lu , Shenglan Fan