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Title: Data approximation using a blending type spline construction

Generalized expo-rational B-splines (GERBS) is a blending type spline construction where local functions at each knot are blended together by C{sup k}-smooth basis functions. One way of approximating discrete regular data using GERBS is by partitioning the data set into subsets and fit a local function to each subset. Partitioning and fitting strategies can be devised such that important or interesting data points are interpolated in order to preserve certain features. We present a method for fitting discrete data using a tensor product GERBS construction. The method is based on detection of feature points using differential geometry. Derivatives, which are necessary for feature point detection and used to construct local surface patches, are approximated from the discrete data using finite differences.
Authors:
;  [1]
  1. Narvik University College, P.O. Box 385, N-8505 Narvik (Norway)
Publication Date:
OSTI Identifier:
22390649
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1631; Journal Issue: 1; Conference: AMEE'14: 40. Conference on Applications of Mathemaics in Engineering and Economics, Sozopol (Bulgaria), 8-13 Jun 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; DIFFERENTIAL GEOMETRY; FINITE DIFFERENCE METHOD; MATHEMATICAL SOLUTIONS; SPLINE FUNCTIONS; SURFACES; TENSORS