TSSS: A Novel Triangulated Spherical Spline Smoothing for Surface-Based Data.

ABSTRACT: Surface-based data are prevalent across diverse practical applications in various fields. This paper introduces a novel nonparametric method to discover the underlying signals from data distributed on complex surface-based domains. The proposed approach involves a penalized spline estimator defined on a triangulation of surface patches, enabling effective signal extraction and recovery. The proposed method offers superior handling of "leakage" or "boundary effects" over complex domains, enhanced computational efficiency, and capabilities for analyzing sparse and irregularly distributed data on complex objects. We provide rigorous theoretical guarantees, including convergence rates and asymptotic normality of the estimators. We demonstrate that the convergence rates are optimal within the f

SUBMITTER: Gu Z 

PROVIDER: S-EPMC12419768 | biostudies-literature | 2025

REPOSITORIES: biostudies-literature