Intrinsic spherical smoothing method based on generalized Bezier curves and sparsity inducing penalization.

ABSTRACT: This study examines an intrinsic penalized smoothing method on the 2-sphere. We propose a method based on the spherical Bézier curves obtained using a generalized de Casteljau algorithm to provide a degree-based regularity constraint to the spherical smoothing problem. A smooth Bézier curve is found by minimizing the least squares criterion under the regularization constraint. The de Casteljau algorithm constructs higher-order Bézier curves in a recursive manner using linear Bézier curves. We introduce a local penalization scheme based on a penalty function that regularizes the velocity differences in consecutive linear Bézier curves. The imposed penalty induces sparsity on the control points so that the proposed method determines the number of control points, or equivalently the order of

SUBMITTER: Bak KY 

PROVIDER: S-EPMC10291929 | biostudies-literature | 2023

REPOSITORIES: biostudies-literature