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Heidelberg Communications in Mathematics and Statistics, https://doi.org/10.1007/s40304-023-00383-1 Subdivision curves Subdivision surfaces Nonlinear weighted average De Casteljau algorithm Doo–Sabin algorithm Nonlinear Weighted Subdivision Schemes Rongin Uwitije Xuhui Wang Jiansong Deng 10.1007/s40304-023-00383-1 2010-04-23 true springer.com springerlink.com https://doi.org/10.1007/s40304-023-00383-1 10.1007/s40304-023-00383-1 2194-671X 14 3 415 428 journal Communications in Mathematics and Statistics School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature 2010-04-23 true 10.1007/s40304-023-00383-1 noindex springer.com springerlink.com VoR uuid:1d66800d-530f-48a6-97d4-6602c77d4b9a uuid:c749e176-2dad-440e-9af2-31b536c89d95 default 1 converted uuid:c22008bc-eb95-43ca-8a33-fd73e14925c3 converted to PDF/A-2b pdfToolbox 2026-05-13T08:55:09+05:30 converted uuid:db64995e-908f-430e-a8fb-8f0cdebf1f57 converted to 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MajorVersionDate Text internal CrossmarkDomainExclusive CrossmarkDomainExclusive Text internal CrossMarkDomains CrossMarkDomains seq Text http://prismstandard.org/namespaces/basic/2.0/ prism Prism Schema external This element provides the url for an article or unit of content. The attribute platform is optionally allowed for situations in which multiple URLs must be specified. PRISM recommends that a subset of the PCV platform values, namely “mobile” and “web”, be used in conjunction with this element. NOTE: PRISM recommends against the use of the #other value allowed in the PRISM Platform controlled vocabulary. In lieu of using #other please reach out to the PRISM group at prism-wg@yahoogroups.com to request addition of your term to the Platform Controlled Vocabulary. url URI external The Digital Object Identifier for the article. The DOI may also be used as the dc:identifier. If used as a dc:identifier, the URI form should be captured, and the bare identifier should also be captured using prism:doi. If an alternate unique identifier is used as the required dc:identifier, then the DOI should be specified as a bare identifier within prism:doi only. If the URL associated with a DOI is to be specified, then prism:url may be used in conjunction with prism:doi in order to provide the service endpoint (i.e. the URL). doi Text external ISSN for an electronic version of the issue in which the resource occurs. Permits publishers to include a second ISSN, identifying an electronic version of the issue in which the resource occurs (therefore e(lectronic)Issn. If used, prism:eIssn MUST contain the ISSN of the electronic version. issn Text internal Volume number volume Text internal Issue number number Text internal Starting page startingPage Text internal Ending page endingPage Text external The aggregation type specifies the unit of aggregation for a content collection. Comment PRISM recommends that the PRISM Aggregation Type Controlled Vocabulary be used to provide values for this element. Note: PRISM recommends against the use of the #other value currently allowed in this controlled vocabulary. In lieu of using #other please reach out to the PRISM group at info@prismstandard.org to request addition of your term to the Aggregation Type Controlled Vocabulary. aggregationType Text external Title of the magazine, or other publication, in which a resource was/will be published. Typically this will be used to provide the name of the magazine an article appeared in as metadata for the article, along with information such as the article title, the publisher, volume, number, and cover date. Note: Publication name can be used to differentiate between a print magazine and the online version if the names are different such as “magazine” and “magazine.com.” publicationName Text external Copyright copyright Text http://ns.adobe.com/pdf/1.3/ pdf Adobe PDF Schema internal A name object indicating whether the document has been modified to include trapping information Trapped Text http://ns.adobe.com/xap/1.0/mm/ xmpMM XMP Media Management Schema internal UUID based identifier for specific incarnation of a document InstanceID URI internal The common identifier for all versions and renditions of a document. DocumentID URI internal The common identifier for all versions and renditions of a document. OriginalDocumentID URI internal A reference to the original document from which this one is derived. It is a minimal reference; missing components can be assumed to be unchanged. For example, a new version might only need to specify the instance ID and version number of the previous version, or a rendition might only need to specify the instance ID and rendition class of the original. DerivedFrom ResourceRef Identifies a portion of a document. This can be a position at which the document has been changed since the most recent event history (stEvt:changed). For a resource within an xmpMM:Ingredients list, the ResourceRef uses this type to identify both the portion of the containing document that refers to the resource, and the portion of the referenced resource that is referenced. http://ns.adobe.com/xap/1.0/sType/Part# stPart Part http://www.aiim.org/pdfa/ns/id/ pdfaid PDF/A ID Schema internal Part of PDF/A standard part Integer internal Amendment of PDF/A standard amd Text internal Conformance level of PDF/A standard conformance Text Springer Nature ORCID Schema http://springernature.com/ns/xmpExtensions/2.0/ sn authorInfo Bag AuthorInformation external Author information: contains the name of each author and his/her ORCiD (ORCiD: Open Researcher and Contributor ID). An ORCiD is a persistent identifier (a non-proprietary alphanumeric code) to uniquely identify scientific and other academic authors. AuthorInformation http://springernature.com/ns/xmpExtensions/2.0/authorInfo/ author Specifies the types of author information: name and ORCID of an author. name Text Gives the name of an author. orcid URI Gives the ORCID of an author. http://ns.adobe.com/xap/1.0/t/pg/ xmpTPg XMP Paged-Text internal XMP08 Spec: An ordered array of plate names that are needed to print the document (including any in contained documents). 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