{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9846974","patent":{"patent_number":"US-9846974","title":"Absolute rotation estimation including outlier detection via low-rank and sparse matrix decomposition","assignee":null,"inventors":[],"filing_date":"2014-12-05T00:00:00.000Z","publication_date":"2017-12-19T00:00:00.000Z","cpc_codes":["G06T","G06T","G06T"],"num_claims":27,"abstract":"The present disclosure is directed to systems and methods to perform absolute rotation estimation including outlier detection via low-rank and sparse matrix decomposition. One example method includes obtaining a relative rotation estimates matrix that includes a plurality of relative rotation estimates. The method includes determining values for a low-rank matrix that result in a desirable value of a cost function that is based on a low-rank and sparse matrix decomposition of the relative rotation estimates matrix. The cost function includes the low-rank matrix and a sparse matrix that is nonzero in correspondence of one or more outliers of the plurality of relative rotation estimates. The method includes determining an absolute rotations matrix that includes a plurality of absolute rotations based at least in part on the values of the low-rank matrix that result in the desirable value of the cost function."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Absolute rotation estimation including outlier detection via low-rank and sparse matrix decomposition","description":"The present disclosure is directed to systems and methods to perform absolute rotation estimation including outlier detection via low-rank and sparse matrix decomposition. One example method includes ","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9846974","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9846974","citation_suggestion":"Patentable. \"Absolute rotation estimation including outlier detection via low-rank and sparse matrix decomposition\" (US-9846974). https://patentable.app/patents/US-9846974","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9846974","json":"https://patentable.app/api/llm-context/US-9846974","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T07:19:57.652Z"}