{"title":"Shape of toric surfaces","authors":"R. Krasauskas","doi":"10.1109/SCCG.2001.945337","DOIUrl":null,"url":null,"abstract":"We present an informal introduction to the theory of toric surfaces from the viewpoint of geometric modeling. Bezier surfaces and many well-known low-degree rational surfaces are found to be toric. Bezier-like control point schemes for toric surfaces are defined via mixed trigonometric-polynomial parametrizations. Many examples are considered: quadrics, cubic Mobius strip, quartic 'pillow', 'crosscap' and Dupin cyclides. A 'pear' shape modeling is presented.","PeriodicalId":331436,"journal":{"name":"Proceedings Spring Conference on Computer Graphics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings Spring Conference on Computer Graphics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCCG.2001.945337","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 15
Abstract
We present an informal introduction to the theory of toric surfaces from the viewpoint of geometric modeling. Bezier surfaces and many well-known low-degree rational surfaces are found to be toric. Bezier-like control point schemes for toric surfaces are defined via mixed trigonometric-polynomial parametrizations. Many examples are considered: quadrics, cubic Mobius strip, quartic 'pillow', 'crosscap' and Dupin cyclides. A 'pear' shape modeling is presented.
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