{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/variational-depth-from-focus-reconstruction","title":"Variational Depth from Focus Reconstruction","arxiv_id":"1408.0173","date":"2014-08-01","proceeding":null,"authors":["Michael Moeller","Martin Benning","Carola Schönlieb","Daniel Cremers"],"abstract":"This paper deals with the problem of reconstructing a depth map from a\nsequence of differently focused images, also known as depth from focus or shape\nfrom focus. We propose to state the depth from focus problem as a variational\nproblem including a smooth but nonconvex data fidelity term, and a convex\nnonsmooth regularization, which makes the method robust to noise and leads to\nmore realistic depth maps. Additionally, we propose to solve the nonconvex\nminimization problem with a linearized alternating directions method of\nmultipliers (ADMM), allowing to minimize the energy very efficiently. A\nnumerical comparison to classical methods on simulated as well as on real data\nis presented.","url_abs":"http://arxiv.org/abs/1408.0173v2","url_pdf":"http://arxiv.org/pdf/1408.0173v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"variational-depth-from-focus-reconstruction","repo_url":"https://github.com/adrelino/variational-depth-from-focus","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1408.0173","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}