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Verifying convergence rates of discrete thin-plate splines in 3{D}

Stals, Linda; Roberts, Stephen

Description

Traditional thin-plate splines use radial basis functions that produce dense linear system of equations whose size increases with the number of data points. We present a discrete thin-plate spline method that uses polynomials with local support defined on finite-element grids. The resulting system of equations is sparse and its size depends only on the number of nodes in the finite element grid. Theory is developed for general d-dimensional data sets and model problems are presented in 3D to...[Show more]

dc.contributor.authorStals, Linda
dc.contributor.authorRoberts, Stephen
dc.coverage.spatialMelbourne Australia
dc.date.accessioned2015-12-07T22:42:43Z
dc.date.available2015-12-07T22:42:43Z
dc.date.createdJune 2002
dc.identifier.isbn1445-8735
dc.identifier.urihttp://hdl.handle.net/1885/24658
dc.description.abstractTraditional thin-plate splines use radial basis functions that produce dense linear system of equations whose size increases with the number of data points. We present a discrete thin-plate spline method that uses polynomials with local support defined on finite-element grids. The resulting system of equations is sparse and its size depends only on the number of nodes in the finite element grid. Theory is developed for general d-dimensional data sets and model problems are presented in 3D to study the convergence behaviour.
dc.publisherAustralian Mathematics Publishing Association
dc.relation.ispartofseriesComputational Techniques and Applications Conference (CTAC 2002)
dc.sourceProc. of 12th Computational Techniques and Applications Conference CTAC-2002
dc.titleVerifying convergence rates of discrete thin-plate splines in 3{D}
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2005
local.identifier.absfor010301 - Numerical Analysis
local.identifier.ariespublicationu8606170xPUB33
local.type.statusPublished Version
local.contributor.affiliationStals, Linda, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRoberts, Stephen, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.startpageC515
local.bibliographicCitation.lastpageC529
dc.date.updated2015-12-07T11:11:01Z
local.identifier.scopusID2-s2.0-70549098672
CollectionsANU Research Publications

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