{"title":"Erratum to “Rational Bézier Guarding”","authors":"","doi":"10.1111/cgf.15277","DOIUrl":null,"url":null,"abstract":"<p>Khanteimouri P., Mandad M., Campen M.: Rational Bézier Guarding. <i>Computer Graphics Forum 41</i>, 5 (2022), 89–99.</p><p>The proof of Lemma 5 contains a mistake; while various kinds of variation diminishing properties of Bézier triangles are known, one of the specific geometric kind assumed is not available. The lemma does not hold in full generality as stated, for arbitrary Bézier triangles. Whether it holds for the restricted class of Bézier triangles constructed by the method is an open question, no counterexample is known.</p><p>We apologize for this error.</p>","PeriodicalId":10687,"journal":{"name":"Computer Graphics Forum","volume":"44 1","pages":""},"PeriodicalIF":2.7000,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1111/cgf.15277","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Graphics Forum","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/cgf.15277","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, SOFTWARE ENGINEERING","Score":null,"Total":0}
引用次数: 0
Abstract
Khanteimouri P., Mandad M., Campen M.: Rational Bézier Guarding. Computer Graphics Forum 41, 5 (2022), 89–99.
The proof of Lemma 5 contains a mistake; while various kinds of variation diminishing properties of Bézier triangles are known, one of the specific geometric kind assumed is not available. The lemma does not hold in full generality as stated, for arbitrary Bézier triangles. Whether it holds for the restricted class of Bézier triangles constructed by the method is an open question, no counterexample is known.
期刊介绍：
Computer Graphics Forum is the official journal of Eurographics, published in cooperation with Wiley-Blackwell, and is a unique, international source of information for computer graphics professionals interested in graphics developments worldwide. It is now one of the leading journals for researchers, developers and users of computer graphics in both commercial and academic environments. The journal reports on the latest developments in the field throughout the world and covers all aspects of the theory, practice and application of computer graphics.
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