{"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/a-fast-ellipse-detector-using-projective","title":"A Fast Ellipse Detector Using Projective Invariant Pruning","arxiv_id":"1608.07470","date":"2016-08-26","proceeding":null,"authors":["Qi Jia","Xin Fan","Zhongxuan Luo","Lianbo Song","Tie Qiu"],"abstract":"Detecting elliptical objects from an image is a central task in robot\nnavigation and industrial diagnosis where the detection time is always a\ncritical issue. Existing methods are hardly applicable to these real-time\nscenarios of limited hardware resource due to the huge number of fragment\ncandidates (edges or arcs) for fitting ellipse equations. In this paper, we\npresent a fast algorithm detecting ellipses with high accuracy. The algorithm\nleverage a newly developed projective invariant to significantly prune the\nundesired candidates and to pick out elliptical ones. The invariant is able to\nreflect the intrinsic geometry of a planar curve, giving the value of -1 on any\nthree collinear points and +1 for any six points on an ellipse. Thus, we apply\nthe pruning and picking by simply comparing these binary values. Moreover, the\ncalculation of the invariant only involves the determinant of a 3*3 matrix.\nExtensive experiments on three challenging data sets with 650 images\ndemonstrate that our detector runs 20%-50% faster than the state-of-the-art\nalgorithms with the comparable or higher precision.","url_abs":"http://arxiv.org/abs/1608.07470v1","url_pdf":"http://arxiv.org/pdf/1608.07470v1.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":"a-fast-ellipse-detector-using-projective","repo_url":"https://github.com/dlut-dimt/ellipse-detector","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"a-fast-ellipse-detector-using-projective","repo_url":"https://github.com/TomsonBoylett/Real-Time-Ellipse-Detection","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"robot-navigation","task_name":"Robot Navigation"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}