Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/84490
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dc.contributor.authorLi, Xin.en
dc.contributor.authorZheng, Jianmin.en
dc.date.accessioned2013-08-15T06:22:04Zen
dc.date.accessioned2019-12-06T15:46:03Z-
dc.date.available2013-08-15T06:22:04Zen
dc.date.available2019-12-06T15:46:03Z-
dc.date.copyright2012en
dc.date.issued2012en
dc.identifier.citationLi, X.,& Zheng, J. (2012). An alternative method for constructing interpolatory subdivision from approximating subdivision. Computer Aided Geometric Design, 29(7), 474-484.en
dc.identifier.urihttps://hdl.handle.net/10356/84490-
dc.description.abstractThis paper presents a new perspective for constructing interpolatory subdivision from primal approximating subdivision. The basic idea is constructing the subdivision rule for new inserted vertices of a new interpolatory subdivision scheme based on an approximating subdivision algorithm applied to a local configuration of the mesh with one vertex updated for interpolation of the vertex. This idea is demonstrated by presenting two new interpolatory subdivision schemes based on Catmull–Clark subdivision for an arbitrary polygonal mesh and Loop subdivision for a triangular mesh, respectively. These algorithms are simple and have a small stencil for computing new points. The new perspective also shows a link between those classic approximating and interpolatory subdivision algorithms such as cubic B-spline curve subdivision and the four-point interpolatory subdivision, Catmull–Clark subdivision and Kobbeltʼs interpolatory scheme, and Loop subdivision and the butterfly algorithm.en
dc.language.isoenen
dc.relation.ispartofseriesComputer aided geometric designen
dc.subjectDRNTU::Engineering::Computer science and engineeringen
dc.titleAn alternative method for constructing interpolatory subdivision from approximating subdivisionen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Computer Engineeringen
dc.identifier.doi10.1016/j.cagd.2012.03.008en
item.grantfulltextnone-
item.fulltextNo Fulltext-
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