Regularized Reconstruction of Wave Height and Slope Fields From Refracted Images of Water

• 成果类型: Article
• 署名作者: Choudhury, Kingshuk Roy; O'Sullivan, Finbarr; Samanta, Mayukh; Caulliez, Guillemette; Shrira, Victor
• 署名单位: University College Cork; Aix-Marseille Universite; Keele University
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1198/jasa.2009.ap07576
• 发表日期: 2010
• 页码: 36-47
• 关键词: spectra

摘要

Refractive imaging of wave fields in an established experimental technique We consider the associated reconstruction problem and investigate some statistically motivated refinements. Including (a) bias correction of local slope estimates. (a) regularization of directional slopes (c) spatially weighted reconstruction using the estimated variability of local slope estimates and (d) more accurate estimates of reference light profiles from tune sequence data These refinements are based on a nonparametric observational model for refractive imaging data Simulation studies show that the refinement can result in substantial improvements in the mean squared error of reconstruction A computationally efficient algorithm that exploits sparsity is used to evaluate the regularized estimator Our approach is illustrated by an application to real image data