Approximating scattered data with discontinuities
type: Item
instance of: scholarly article
title: Approximating scattered data with discontinuities
zbMATH Open document ID: 0823.65014
DOI: 10.1007/BF02142688
author: Erlend Arge
author: Michael S. Floater
published in: Numerical Algorithms
publication date: 1995-11-06T00:00:00Z
review text: The aim of this paper is to present a method for approximating scattered data by a function defined on a regular two-dimensional grid. The method requires three phases: regularization, local approximation, and extrapolation. Two examples from seismic data are presented. The method is interesting for other areas: computer aided design, terrain modelling in the mapping, industrial shape estimations in molecular modelling, and modelling of geological surfaces in oil reservoir engineering.
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 720548
zbMATH Keywords: scattered data approximation
zbMATH Keywords: regular grids
zbMATH Keywords: regularization
zbMATH Keywords: extrapolation
zbMATH Keywords: seismic data
zbMATH Keywords: computer aided design
zbMATH Keywords: terrain modelling
zbMATH Keywords: molecular modelling
zbMATH Keywords: geological surfaces
reviewed by: Pavol Quittner
MaRDI profile type: Publication
cites work: Approximation of scattered data using smooth grid functions
cites work: Q3359644
cites work: Q4026010
cites work: Q3290875
full work available at URL: https://doi.org/10.1007/bf02142688
OpenAlex ID: W2030004987
description: scientific article; zbMATH DE number 720548