Mathematical Sciences: Faculty Publications
Smoothing and Near-Interpolatory Subdivision Surfaces
Document Type
Article
Publication Date
2004
Publication Title
Geometric Modeling and Computing
ISBN
0972848231
Abstract
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.
Recommended Citation
Kersey, Scott N..
2004.
"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
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/539
Copyright
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