{"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/on-detection-of-faint-edges-in-noisy-images","title":"On Detection of Faint Edges in Noisy Images","arxiv_id":"1706.07717","date":"2017-06-22","proceeding":null,"authors":["Nati Ofir","Meirav Galun","Sharon Alpert","Achi Brandt","Boaz Nadler","Ronen Basri"],"abstract":"A fundamental question for edge detection in noisy images is how faint can an\nedge be and still be detected. In this paper we offer a formalism to study this\nquestion and subsequently introduce computationally efficient multiscale edge\ndetection algorithms designed to detect faint edges in noisy images. In our\nformalism we view edge detection as a search in a discrete, though potentially\nlarge, set of feasible curves. First, we derive approximate expressions for the\ndetection threshold as a function of curve length and the complexity of the\nsearch space. We then present two edge detection algorithms, one for straight\nedges, and the second for curved ones. Both algorithms efficiently search for\nedges in a large set of candidates by hierarchically constructing difference\nfilters that match the curves traced by the sought edges. We demonstrate the\nutility of our algorithms in both simulations and applications involving\nchallenging real images. Finally, based on these principles, we develop an\nalgorithm for fiber detection and enhancement. We exemplify its utility to\nreveal and enhance nerve axons in light microscopy images.","url_abs":"http://arxiv.org/abs/1706.07717v1","url_pdf":"http://arxiv.org/pdf/1706.07717v1.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":"on-detection-of-faint-edges-in-noisy-images","repo_url":"https://github.com/NatiOfir/FaintCurvedEdgeDetection","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"on-detection-of-faint-edges-in-noisy-images","repo_url":"https://github.com/NatiOfir/FaintStraightEdgeDetection","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[{"task_slug":"edge-detection","task_name":"Edge Detection"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":"https://app.syntology.ai/?focus=1706.07717","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}