Approximation of interval Bezier surfaces

Based on the conception of perturbation, an approach to the interval Bezier surfaces approximating rational surfaces is presented using the energy minimization method. The method places more restrictions on the perturbation surfaces than the original surfaces. The applications of the approach are al...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Transactions of Nanjing University of Aeronautics & Astronautics 2011-06, Vol.28 (2), p.211-217
Hauptverfasser: Huang, Lin, Hou, Jian, Lai, Junfeng
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 217
container_issue 2
container_start_page 211
container_title Transactions of Nanjing University of Aeronautics & Astronautics
container_volume 28
creator Huang, Lin
Hou, Jian
Lai, Junfeng
description Based on the conception of perturbation, an approach to the interval Bezier surfaces approximating rational surfaces is presented using the energy minimization method. The method places more restrictions on the perturbation surfaces than the original surfaces. The applications of the approach are also presented. Experimental result is combined with the subdivision method to obtain a piecewise interval polynomial approximation for a rational surface.
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_miscellaneous_1671327923</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1671327923</sourcerecordid><originalsourceid>FETCH-LOGICAL-p103t-b45a52b0c07452ceae6009e84376b6e50f1f5e06f0c863b884b573aef71ff8363</originalsourceid><addsrcrecordid>eNotzj1rwzAQgGENKSSk-Q8ek8Fw0lknZUxCvyCQpZ2DJO5A4NiOZZfSX99CO73bw7tQKw1ga60NLNWmlBwByAE6Tyu1OwzD2H_lW5hy31W9VLmbePwMbXXk78xjVeZRQuLyqB4ktIU3_12rj-en99Nrfb68vJ0O53rQgFMdGxusiZDANdYkDkwAe_YNOorEFkSLZSCB5Amj9020DgOL0yIeCddq--f-ft1nLtP1lkvitg0d93O5anIajdsbxB83wj64</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1671327923</pqid></control><display><type>article</type><title>Approximation of interval Bezier surfaces</title><source>Alma/SFX Local Collection</source><creator>Huang, Lin ; Hou, Jian ; Lai, Junfeng</creator><creatorcontrib>Huang, Lin ; Hou, Jian ; Lai, Junfeng</creatorcontrib><description>Based on the conception of perturbation, an approach to the interval Bezier surfaces approximating rational surfaces is presented using the energy minimization method. The method places more restrictions on the perturbation surfaces than the original surfaces. The applications of the approach are also presented. Experimental result is combined with the subdivision method to obtain a piecewise interval polynomial approximation for a rational surface.</description><identifier>ISSN: 1005-1120</identifier><language>eng</language><subject>Approximation ; Bezier ; Energy use ; Intervals ; Mathematical analysis ; Optimization ; Perturbation ; Subdivisions</subject><ispartof>Transactions of Nanjing University of Aeronautics &amp; Astronautics, 2011-06, Vol.28 (2), p.211-217</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784</link.rule.ids></links><search><creatorcontrib>Huang, Lin</creatorcontrib><creatorcontrib>Hou, Jian</creatorcontrib><creatorcontrib>Lai, Junfeng</creatorcontrib><title>Approximation of interval Bezier surfaces</title><title>Transactions of Nanjing University of Aeronautics &amp; Astronautics</title><description>Based on the conception of perturbation, an approach to the interval Bezier surfaces approximating rational surfaces is presented using the energy minimization method. The method places more restrictions on the perturbation surfaces than the original surfaces. The applications of the approach are also presented. Experimental result is combined with the subdivision method to obtain a piecewise interval polynomial approximation for a rational surface.</description><subject>Approximation</subject><subject>Bezier</subject><subject>Energy use</subject><subject>Intervals</subject><subject>Mathematical analysis</subject><subject>Optimization</subject><subject>Perturbation</subject><subject>Subdivisions</subject><issn>1005-1120</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNotzj1rwzAQgGENKSSk-Q8ek8Fw0lknZUxCvyCQpZ2DJO5A4NiOZZfSX99CO73bw7tQKw1ga60NLNWmlBwByAE6Tyu1OwzD2H_lW5hy31W9VLmbePwMbXXk78xjVeZRQuLyqB4ktIU3_12rj-en99Nrfb68vJ0O53rQgFMdGxusiZDANdYkDkwAe_YNOorEFkSLZSCB5Amj9020DgOL0yIeCddq--f-ft1nLtP1lkvitg0d93O5anIajdsbxB83wj64</recordid><startdate>201106</startdate><enddate>201106</enddate><creator>Huang, Lin</creator><creator>Hou, Jian</creator><creator>Lai, Junfeng</creator><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>201106</creationdate><title>Approximation of interval Bezier surfaces</title><author>Huang, Lin ; Hou, Jian ; Lai, Junfeng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p103t-b45a52b0c07452ceae6009e84376b6e50f1f5e06f0c863b884b573aef71ff8363</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Approximation</topic><topic>Bezier</topic><topic>Energy use</topic><topic>Intervals</topic><topic>Mathematical analysis</topic><topic>Optimization</topic><topic>Perturbation</topic><topic>Subdivisions</topic><toplevel>online_resources</toplevel><creatorcontrib>Huang, Lin</creatorcontrib><creatorcontrib>Hou, Jian</creatorcontrib><creatorcontrib>Lai, Junfeng</creatorcontrib><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Transactions of Nanjing University of Aeronautics &amp; Astronautics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Huang, Lin</au><au>Hou, Jian</au><au>Lai, Junfeng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Approximation of interval Bezier surfaces</atitle><jtitle>Transactions of Nanjing University of Aeronautics &amp; Astronautics</jtitle><date>2011-06</date><risdate>2011</risdate><volume>28</volume><issue>2</issue><spage>211</spage><epage>217</epage><pages>211-217</pages><issn>1005-1120</issn><abstract>Based on the conception of perturbation, an approach to the interval Bezier surfaces approximating rational surfaces is presented using the energy minimization method. The method places more restrictions on the perturbation surfaces than the original surfaces. The applications of the approach are also presented. Experimental result is combined with the subdivision method to obtain a piecewise interval polynomial approximation for a rational surface.</abstract><tpages>7</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1005-1120
ispartof Transactions of Nanjing University of Aeronautics & Astronautics, 2011-06, Vol.28 (2), p.211-217
issn 1005-1120
language eng
recordid cdi_proquest_miscellaneous_1671327923
source Alma/SFX Local Collection
subjects Approximation
Bezier
Energy use
Intervals
Mathematical analysis
Optimization
Perturbation
Subdivisions
title Approximation of interval Bezier surfaces
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-20T00%3A47%3A26IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Approximation%20of%20interval%20Bezier%20surfaces&rft.jtitle=Transactions%20of%20Nanjing%20University%20of%20Aeronautics%20&%20Astronautics&rft.au=Huang,%20Lin&rft.date=2011-06&rft.volume=28&rft.issue=2&rft.spage=211&rft.epage=217&rft.pages=211-217&rft.issn=1005-1120&rft_id=info:doi/&rft_dat=%3Cproquest%3E1671327923%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1671327923&rft_id=info:pmid/&rfr_iscdi=true