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Article: BI-QUADRATIC B-SPLINE SURFACES GENERATED FROM ARBITRARY POLYHEDRAL MESHES: A CONSTRUCTIVE APPROACH.

TitleBI-QUADRATIC B-SPLINE SURFACES GENERATED FROM ARBITRARY POLYHEDRAL MESHES: A CONSTRUCTIVE APPROACH.
Authors
Issue Date1987
Citation
Computer Vision, Graphics, And Image Processing, 1987, v. 39 n. 2, p. 144-166 How to Cite?
AbstractThis paper describes an algorithm for generating piecewise parametric curved surfaces from arbitrary topological meshes. The algorithm is developed by extending and modifying Riesenfeld's constructive method for determining points on B-spline curves. The surfaces produced near extraordinary points are shown to be slope continuous and compatible with bi-quadratic B-spline surfaces generated from adjacent rectangular regions. In fact, applying this algorithm to rectangular meshes gives bi-quadratic B-spline surfaces. The implementation of this algorithm is simple and the evaluation of position vectors, tangent vectors and normal vectors of points on the surfaces is straightforward.
Persistent Identifierhttp://hdl.handle.net/10722/156319
ISSN

 

DC FieldValueLanguage
dc.contributor.authorTan, STen_US
dc.contributor.authorChan, KCen_US
dc.date.accessioned2012-08-08T08:41:58Z-
dc.date.available2012-08-08T08:41:58Z-
dc.date.issued1987en_US
dc.identifier.citationComputer Vision, Graphics, And Image Processing, 1987, v. 39 n. 2, p. 144-166en_US
dc.identifier.issn0734-189Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/156319-
dc.description.abstractThis paper describes an algorithm for generating piecewise parametric curved surfaces from arbitrary topological meshes. The algorithm is developed by extending and modifying Riesenfeld's constructive method for determining points on B-spline curves. The surfaces produced near extraordinary points are shown to be slope continuous and compatible with bi-quadratic B-spline surfaces generated from adjacent rectangular regions. In fact, applying this algorithm to rectangular meshes gives bi-quadratic B-spline surfaces. The implementation of this algorithm is simple and the evaluation of position vectors, tangent vectors and normal vectors of points on the surfaces is straightforward.en_US
dc.languageengen_US
dc.relation.ispartofComputer vision, graphics, and image processingen_US
dc.titleBI-QUADRATIC B-SPLINE SURFACES GENERATED FROM ARBITRARY POLYHEDRAL MESHES: A CONSTRUCTIVE APPROACH.en_US
dc.typeArticleen_US
dc.identifier.emailTan, ST:sttan@hkucc.hku.hken_US
dc.identifier.authorityTan, ST=rp00174en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0023401508en_US
dc.identifier.volume39en_US
dc.identifier.issue2en_US
dc.identifier.spage144en_US
dc.identifier.epage166en_US
dc.identifier.scopusauthoridTan, ST=7403366758en_US
dc.identifier.scopusauthoridChan, KC=24331046500en_US

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