{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,20]],"date-time":"2026-07-20T13:02:36Z","timestamp":1784552556598,"version":"3.55.0"},"reference-count":64,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T00:00:00Z","timestamp":1669852800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"University of Li\u00e8ge, Belgium"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Estimating the distance to objects is crucial for autonomous vehicles, but cost, weight or power constraints sometimes prevent the use of dedicated depth sensors. In this case, the distance has to be estimated from on-board mounted RGB cameras, which is a complex task especially for environments such as natural outdoor landscapes. In this paper, we present a new depth estimation method suitable for use in such landscapes. First, we establish a bijective relationship between depth and the visual parallax of two consecutive frames and show how to exploit it to perform motion-invariant pixel-wise depth estimation. Then, we detail our architecture which is based on a pyramidal convolutional neural network where each level refines an input parallax map estimate by using two customized cost volumes. We use these cost volumes to leverage the visual spatio-temporal constraints imposed by motion and make the network robust for varied scenes. We benchmarked our approach both in test and generalization modes on public datasets featuring synthetic camera trajectories recorded in a wide variety of outdoor scenes. Results show that our network outperforms the state of the art on these datasets, while also performing well on a standard depth estimation benchmark.<\/jats:p>","DOI":"10.3390\/s22239374","type":"journal-article","created":{"date-parts":[[2022,12,1]],"date-time":"2022-12-01T05:30:46Z","timestamp":1669872646000},"page":"9374","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Parallax Inference for Robust Temporal Monocular Depth Estimation in Unstructured Environments"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9166-136X","authenticated-orcid":false,"given":"Micha\u00ebl","family":"Fonder","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Li\u00e8ge, 4000 Li\u00e8ge, Belgium"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3035-8260","authenticated-orcid":false,"given":"Damien","family":"Ernst","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Li\u00e8ge, 4000 Li\u00e8ge, Belgium"},{"name":"Laboratoire Traitement et Communication de l\u2019Information (LTCI), T\u00e9l\u00e9com Paris, 91120 Palaiseau, France"},{"name":"Institut Polytechnique de Paris, 91120 Palaiseau, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6260-6487","authenticated-orcid":false,"given":"Marc","family":"Van Droogenbroeck","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, University of Li\u00e8ge, 4000 Li\u00e8ge, Belgium"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Achtelik, M., Bachrach, A., He, R., Prentice, S., and Roy, N. 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