The Chow form of the essential variety in computer vision. (May 2018)

• Record Type: Journal Article
• Authors: Fløystad, Gunnar; Kileel, Joe; Ottaviani, Giorgio
• Is Part Of: Journal of symbolic computation. Volume 86(2018)
• Page Start: 97
• Page End: 119
• Publication Date: 2018-05
• Subjects: 14M12 -- 14C05 -- 14Q15 -- 13D02 -- 13C14 -- 68T45; Chow form -- Ulrich sheaf -- Pieri resolutions -- Calibrated cameras -- Essential variety; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2017.03.010
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: The Chow form of the essential variety in computer vision is calculated. Our derivation uses secant varieties, Ulrich sheaves and representation theory. Numerical experiments show that our formula can detect noisy point correspondences