Tracking a smooth fault line in a response surface.

DOI10.1214/aos/1015951995zbMath1105.62327OpenAlexW1996705486MaRDI QIDQ1848796

Christian Rau

Publication date: 14 November 2002

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aos/1015951995

zbMATH Keywords

smoothingleast squareskernel methodsimage analysisedge detectionBoundary estimationjumpchange pointfrontier analysis

Mathematics Subject Classification ID

Multivariate analysis (62H99) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (7)

Jump-preserving surface reconstruction from noisy data ⋮ On boundary estimation ⋮ APPLIED REGRESSION ANALYSIS BIBLIOGRAPHY UPDATE 2000–2001 ⋮ Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces ⋮ Statistical consistency of the data association problem in multiple target tracking ⋮ Methods for tracking support boundaries with corners ⋮ Tracking Edges, Corners and Vertices in an Image

Cites Work

• Minimax theory of image reconstruction
• Change-points in nonparametric regression analysis
• On global performance of approximations to smooth curves using gridded data
• Discontinuous regression surfaces fitting
• Maximin estimation of multidimensional boundaries
• Asymptotical minimax recovery of sets with smooth boundaries
• On Estimation of Monotone and Concave Frontier Functions
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