Termination criterion for subdivision of triangular Bézier patch

A theorem regarding the termination criterion for subdivision of triangular Bézier patch is presented with detailed proof. As the number of times for subdividing a triangular Bézier patch can be a determined prior, according to the given tolerance, the subdividing process can be conduced consecutive...

Full description

Saved in:
Bibliographic Details
Published in:Computers & graphics 2002-02, Vol.26 (1), p.67-74
Main Authors: Li, Yong-Qing, Ke, Ying-Lin, Li, Wei-Shi, Peng, Qun-Sheng, Tan, Jian-Rong
Format: Article
Language:English
Subjects:
Approximate
Subdivision
Termination criterion
Triangular Bézier patch
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c338t-54445eb9423ccaca7872d5e04a57eef2b4d4f1db12858c2279d3a61943fdf1c13
cites cdi_FETCH-LOGICAL-c338t-54445eb9423ccaca7872d5e04a57eef2b4d4f1db12858c2279d3a61943fdf1c13
container_end_page 74
container_issue 1
container_start_page 67
container_title Computers & graphics
container_volume 26
creator Li, Yong-Qing
Ke, Ying-Lin
Li, Wei-Shi
Peng, Qun-Sheng
Tan, Jian-Rong
description A theorem regarding the termination criterion for subdivision of triangular Bézier patch is presented with detailed proof. As the number of times for subdividing a triangular Bézier patch can be a determined prior, according to the given tolerance, the subdividing process can be conduced consecutively without checking for linearity after each subdivision. The theorem has potentials in various CAD/CAM applications.
doi_str_mv 10.1016/S0097-8493(01)00158-3
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_27793006</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0097849301001583</els_id><sourcerecordid>27793006</sourcerecordid><originalsourceid>FETCH-LOGICAL-c338t-54445eb9423ccaca7872d5e04a57eef2b4d4f1db12858c2279d3a61943fdf1c13</originalsourceid><addsrcrecordid>eNqFkM1KxDAUhYMoOI4-gtCV6KKavzbpSsbBPxBcOK5DmtxopNOOSTqgb-Rz-GK2M-LW1T0XzjlwPoSOCT4nmJQXTxhXIpe8YqeYnGFMCpmzHTQhUrBclJLvosmfZR8dxPiGMaa05BM0W0BY-lYn37WZCT5BGJXrQhb72vq1j-PfuSwFr9uXvtEhu_r--vQQspVO5vUQ7TndRDj6vVP0fHO9mN_lD4-39_PZQ24YkykvOOcF1BWnzBhttJCC2gIw14UAcLTmljtia0JlIQ2lorJMl6TizFlHDGFTdLLtXYXuvYeY1NJHA02jW-j6qKgQFcO4HIzF1mhCF2MAp1bBL3X4UASrEZjaAFMjDYWJ2gBTbMhdbnMwrFgP-1Q0HloD1gcwSdnO_9PwA_GGc8U</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>27793006</pqid></control><display><type>article</type><title>Termination criterion for subdivision of triangular Bézier patch</title><source>Elsevier:Jisc Collections:Elsevier Read and Publish Agreement 2022-2024:Freedom Collection (Reading list)</source><creator>Li, Yong-Qing ; Ke, Ying-Lin ; Li, Wei-Shi ; Peng, Qun-Sheng ; Tan, Jian-Rong</creator><creatorcontrib>Li, Yong-Qing ; Ke, Ying-Lin ; Li, Wei-Shi ; Peng, Qun-Sheng ; Tan, Jian-Rong</creatorcontrib><description>A theorem regarding the termination criterion for subdivision of triangular Bézier patch is presented with detailed proof. As the number of times for subdividing a triangular Bézier patch can be a determined prior, according to the given tolerance, the subdividing process can be conduced consecutively without checking for linearity after each subdivision. The theorem has potentials in various CAD/CAM applications.</description><identifier>ISSN: 0097-8493</identifier><identifier>EISSN: 1873-7684</identifier><identifier>DOI: 10.1016/S0097-8493(01)00158-3</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Approximate ; Subdivision ; Termination criterion ; Triangular Bézier patch</subject><ispartof>Computers &amp; graphics, 2002-02, Vol.26 (1), p.67-74</ispartof><rights>2002</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c338t-54445eb9423ccaca7872d5e04a57eef2b4d4f1db12858c2279d3a61943fdf1c13</citedby><cites>FETCH-LOGICAL-c338t-54445eb9423ccaca7872d5e04a57eef2b4d4f1db12858c2279d3a61943fdf1c13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Li, Yong-Qing</creatorcontrib><creatorcontrib>Ke, Ying-Lin</creatorcontrib><creatorcontrib>Li, Wei-Shi</creatorcontrib><creatorcontrib>Peng, Qun-Sheng</creatorcontrib><creatorcontrib>Tan, Jian-Rong</creatorcontrib><title>Termination criterion for subdivision of triangular Bézier patch</title><title>Computers &amp; graphics</title><description>A theorem regarding the termination criterion for subdivision of triangular Bézier patch is presented with detailed proof. As the number of times for subdividing a triangular Bézier patch can be a determined prior, according to the given tolerance, the subdividing process can be conduced consecutively without checking for linearity after each subdivision. The theorem has potentials in various CAD/CAM applications.</description><subject>Approximate</subject><subject>Subdivision</subject><subject>Termination criterion</subject><subject>Triangular Bézier patch</subject><issn>0097-8493</issn><issn>1873-7684</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNqFkM1KxDAUhYMoOI4-gtCV6KKavzbpSsbBPxBcOK5DmtxopNOOSTqgb-Rz-GK2M-LW1T0XzjlwPoSOCT4nmJQXTxhXIpe8YqeYnGFMCpmzHTQhUrBclJLvosmfZR8dxPiGMaa05BM0W0BY-lYn37WZCT5BGJXrQhb72vq1j-PfuSwFr9uXvtEhu_r--vQQspVO5vUQ7TndRDj6vVP0fHO9mN_lD4-39_PZQ24YkykvOOcF1BWnzBhttJCC2gIw14UAcLTmljtia0JlIQ2lorJMl6TizFlHDGFTdLLtXYXuvYeY1NJHA02jW-j6qKgQFcO4HIzF1mhCF2MAp1bBL3X4UASrEZjaAFMjDYWJ2gBTbMhdbnMwrFgP-1Q0HloD1gcwSdnO_9PwA_GGc8U</recordid><startdate>20020201</startdate><enddate>20020201</enddate><creator>Li, Yong-Qing</creator><creator>Ke, Ying-Lin</creator><creator>Li, Wei-Shi</creator><creator>Peng, Qun-Sheng</creator><creator>Tan, Jian-Rong</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20020201</creationdate><title>Termination criterion for subdivision of triangular Bézier patch</title><author>Li, Yong-Qing ; Ke, Ying-Lin ; Li, Wei-Shi ; Peng, Qun-Sheng ; Tan, Jian-Rong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c338t-54445eb9423ccaca7872d5e04a57eef2b4d4f1db12858c2279d3a61943fdf1c13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Approximate</topic><topic>Subdivision</topic><topic>Termination criterion</topic><topic>Triangular Bézier patch</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Yong-Qing</creatorcontrib><creatorcontrib>Ke, Ying-Lin</creatorcontrib><creatorcontrib>Li, Wei-Shi</creatorcontrib><creatorcontrib>Peng, Qun-Sheng</creatorcontrib><creatorcontrib>Tan, Jian-Rong</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computers &amp; graphics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Yong-Qing</au><au>Ke, Ying-Lin</au><au>Li, Wei-Shi</au><au>Peng, Qun-Sheng</au><au>Tan, Jian-Rong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Termination criterion for subdivision of triangular Bézier patch</atitle><jtitle>Computers &amp; graphics</jtitle><date>2002-02-01</date><risdate>2002</risdate><volume>26</volume><issue>1</issue><spage>67</spage><epage>74</epage><pages>67-74</pages><issn>0097-8493</issn><eissn>1873-7684</eissn><abstract>A theorem regarding the termination criterion for subdivision of triangular Bézier patch is presented with detailed proof. As the number of times for subdividing a triangular Bézier patch can be a determined prior, according to the given tolerance, the subdividing process can be conduced consecutively without checking for linearity after each subdivision. The theorem has potentials in various CAD/CAM applications.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/S0097-8493(01)00158-3</doi><tpages>8</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0097-8493
ispartof Computers & graphics, 2002-02, Vol.26 (1), p.67-74
issn 0097-8493
1873-7684
language eng
recordid cdi_proquest_miscellaneous_27793006
source Elsevier:Jisc Collections:Elsevier Read and Publish Agreement 2022-2024:Freedom Collection (Reading list)
subjects Approximate
Subdivision
Termination criterion
Triangular Bézier patch
title Termination criterion for subdivision of triangular Bézier patch
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-23T19%3A52%3A59IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Termination%20criterion%20for%20subdivision%20of%20triangular%20B%C3%A9zier%20patch&rft.jtitle=Computers%20&%20graphics&rft.au=Li,%20Yong-Qing&rft.date=2002-02-01&rft.volume=26&rft.issue=1&rft.spage=67&rft.epage=74&rft.pages=67-74&rft.issn=0097-8493&rft.eissn=1873-7684&rft_id=info:doi/10.1016/S0097-8493(01)00158-3&rft_dat=%3Cproquest_cross%3E27793006%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c338t-54445eb9423ccaca7872d5e04a57eef2b4d4f1db12858c2279d3a61943fdf1c13%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=27793006&rft_id=info:pmid/&rfr_iscdi=true