Statistical properties of the Hough transform estimator in the presence of measurement errors

DOI10.1016/J.JMVA.2008.03.005zbMath1151.62058OpenAlexW2053609654MaRDI QIDQ958911

Itai Dattner

Publication date: 10 December 2008

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2008.03.005

zbMATH Keywords

robustnesscomputer visionempirical processesM-estimatorsquantizationHough transformbreakdown pointcube-root asymptoticsmeasurement-errors model

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic distribution theory in statistics (62E20) Image analysis in multivariate analysis (62H35) Robustness and adaptive procedures (parametric inference) (62F35) Machine vision and scene understanding (68T45)

Related Items (2)

Direct estimation of parameters in ODE models using WENDy: weak-form estimation of nonlinear dynamics ⋮ Inverse Gillespie for inferring stochastic reaction mechanisms from intermittent samples

Cites Work

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• Cube root asymptotics
• The Hough transform estimator
• Weak convergence and empirical processes. With applications to statistics
• Estimation of the mode
• Use of the Hough transformation to detect lines and curves in pictures
• The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
• The Resistant Line and Related Regression Methods
• Asymptotic Statistics
• Regression Depth
• A Distribution-Free Test for Regression Parameters
• Robust Statistics
• Convergence of stochastic processes
• A formal definition of the Hough transform: properties and relationships

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