On global performance of approximations to smooth curves using gridded data

DOI10.1214/aos/1024691467zbMath0933.62026OpenAlexW2041915179MaRDI QIDQ1307094

Marc Raimondo

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1214/aos/1024691467

zbMATH Keywords

latticeimage analysislocal linear smoothingdigital imagemetric number theorylocal polynomial smoothingL1-metricpixel grid

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (4)

Image denoising: Pointwise adaptive approach ⋮ Sequential methods for design-adaptive estimation of discontinuities in regression curves and surfaces ⋮ Recovering convex boundaries from blurred and noisy observations ⋮ Tracking a smooth fault line in a response surface.

Uses Software

• KernSmooth

Cites Work

• Minimax theory of image reconstruction
• Diophantine approximation
• Approximating a line thrown at random onto a grid
• Tangential Cauchy-Riemann equations and uniform approximation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On global performance of approximations to smooth curves using gridded data