Constrained ellipse fitting with center on a line

DOI10.1007/s10851-015-0584-xzbMath1343.68256OpenAlexW1976790830MaRDI QIDQ892828

Jörg Matthes, Lutz Gröll, Patrick Waibel

Publication date: 12 November 2015

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://publikationen.bibliothek.kit.edu/110103241

zbMATH Keywords

eigenvalue problemellipse fittingconstrained cost function

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Machine vision and scene understanding (68T45)

Related Items (5)

Equivariant adjusted least squares estimator in two-line fitting model ⋮ On multi-conditioned conic fitting in geometric algebra for conics ⋮ Algorithms for conic fitting through given proper and improper waypoints in geometric algebra for conics ⋮ Robust fitting of ellipsoids by separating interior and exterior points during optimization ⋮ Statistical analysis of concentric objects estimation problem under the heteroscedastic Berman model

Uses Software

• BRENT

Cites Work

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• Rayleigh Quotient Iteration for Nonsymmetric Matrices
• Randomized Hough Transform: Improved ellipse detection with comparison
• Least-squares fitting of circles and ellipses
• Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola
• Calculating ellipse overlap areas

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