Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

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

Simple item page
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.date.issued2005
dc.date.updated2015-12-07T11:11:01Z
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.identifier.isbn1445-8735
dc.identifier.urihttp://hdl.handle.net/1885/24658
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.bibliographicCitation.lastpageC529
local.bibliographicCitation.startpageC515
local.contributor.affiliationStals, Linda, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationRoberts, Stephen, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidStals, Linda, u4042952
local.contributor.authoruidRoberts, Stephen, u8602296
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010301 - Numerical Analysis
local.identifier.ariespublicationu8606170xPUB33
local.identifier.scopusID2-s2.0-70549098672
local.type.statusPublished Version

Downloads

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS