{"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/rectification-from-radially-distorted-scales","title":"Rectification from Radially-Distorted Scales","arxiv_id":"1807.06110","date":"2018-07-16","proceeding":null,"authors":["James Pritts","Zuzana Kukelova","Viktor Larsson","Ondrej Chum"],"abstract":"This paper introduces the first minimal solvers that jointly estimate lens\ndistortion and affine rectification from repetitions of rigidly transformed\ncoplanar local features. The proposed solvers incorporate lens distortion into\nthe camera model and extend accurate rectification to wide-angle images that\ncontain nearly any type of coplanar repeated content. We demonstrate a\nprincipled approach to generating stable minimal solvers by the Grobner basis\nmethod, which is accomplished by sampling feasible monomial bases to maximize\nnumerical stability. Synthetic and real-image experiments confirm that the\nsolvers give accurate rectifications from noisy measurements when used in a\nRANSAC-based estimator. The proposed solvers demonstrate superior robustness to\nnoise compared to the state-of-the-art. The solvers work on scenes without\nstraight lines and, in general, relax the strong assumptions on scene content\nmade by the state-of-the-art. Accurate rectifications on imagery that was taken\nwith narrow focal length to near fish-eye lenses demonstrate the wide\napplicability of the proposed method. The method is fully automated, and the\ncode is publicly available at https://github.com/prittjam/repeats.","url_abs":"http://arxiv.org/abs/1807.06110v4","url_pdf":"http://arxiv.org/pdf/1807.06110v4.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":"rectification-from-radially-distorted-scales","repo_url":"https://github.com/prittjam/repeats","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1807.06110","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}