Smoothing and Near-Interpolatory Subdivision Surfaces
Geometric Modeling and Computing
In this paper we describe methods for computing smoothing and near-interpolatory (variational) subdivided surfaces, including those surfaces that meet data to within prescribed tolerances. The theory is based on standard results from constrained optimization combined with existing variational interpolatory subdivision schemes. The particular functional considered later in the paper is a discretization of the thin-plate spline functional. This paper considers the characterization and computational algorithms – numerical and smoothness issues will be deferred to future work.
Kersey, Scott N..
"Smoothing and Near-Interpolatory Subdivision Surfaces."
Geometric Modeling and Computing: 353-364 Brentwood, TN: Nashboro Press.
source: https://www.semanticscholar.org/paper/Smoothing-and-Near-Interpolatory-Subdivision-Kersey/96ceeaa468fd70a738555fabd32cfa5dab796b9c isbn: 0972848231