Low-rank smoothing splines on complicated domains.
Smoothing over a domain with irregular boundaries or interior gaps and holes is addressed. Consider the problem of estimating mercury in sediment concentrations in the estuarine waters in New Hampshire. A modified version of low-rank thin plate splines (LTPS) is introduced where the geodesic distance is applied to evaluate dissimilarity of any two data observations: loosely speaking, distances between locations are not measured as the crow flies, but as the fish swims. The method is compared with competing smoothing techniques, LTPS, and finite element L-splines.
Wang
Haonan
H
Department of Statistics, Colorado State University, Fort Collins, Colorado 80523-1877, USA.
Ranalli
M Giovanna
MG
D000818:Animals; D007090:Image Interpretation, Computer-Assisted; D007091:Image Processing, Computer-Assisted; D008628:Mercury / Q000032:analysis; D008954:Models, Biological; D009513:New Hampshire; D012044:Regression Analysis; D018709:Statistics, Nonparametric; D014874:Water Pollutants, Chemical / Q000032:analysis
D014874:Water Pollutants, Chemical; D008628:Mercury