A new method for rasterization of parametric curves and its application to fast bezier patch shading

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dc.contributor.authorChirikov, Sergey V.
dc.contributor.authorPaltashev, Timour T.
dc.contributor.authorBalabko, Pavel A.
dc.contributor.editorSkala, Václav
dc.date.accessioned2015-09-24T09:28:52Z
dc.date.available2015-09-24T09:28:52Z
dc.date.issued1997
dc.description.abstract-translatedThis paper presents a unified rasterization method to render parametric curves and patches. The algorithms are extremely simple and fast. No multiplication and division are required. The proposed method combines strong sides of parametric and nonparametric representation of curves and patches. A class of curves named as L-curves is described in here. There is a simple correspondence between their parametric and nonparametric forms. It gives a possibility to divide patch rendering process into two tasks: presentation of a patch in L-form and rasterization of obtained L-curves. L-curves can represent both conic arc and Bezier curves and it is possible to use them for rasterization of B-splines and conic splines. Also L-curves can be used for interactive graphical design directly (font construction, for example). Hardware-oriented L-curve generation algorithms may be used for nonlinear color interpolation for Bezier patch shading. Final quality of this shading technique is comparable with the Phong shading method.en
dc.format11 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationJournal of WSCG. 1997, vol. 5, no. 1-3.en
dc.identifier.issn1213-6972 (print)
dc.identifier.issn1213-6980 (CD-ROM)
dc.identifier.issn1213-6964 (online)
dc.identifier.urihttp://wscg.zcu.cz/wscg1997/wscg97.htm
dc.identifier.urihttp://hdl.handle.net/11025/15933
dc.language.isoenen
dc.publisherVáclav Skala - UNION Agencycs
dc.relation.ispartofseriesJournal of WSCGen
dc.rights© Václav Skala - UNION Agencycs
dc.rights.accessopenAccessen
dc.subjectkřivka inkrementálního výkresucs
dc.subjectBresenhamův algoritmuscs
dc.subjectBéziérovy křivkycs
dc.subjectB-drážkacs
dc.subjectrastrová grafikacs
dc.subjectkuželový interpolatorcs
dc.subject.translatedcurve incremental drawingen
dc.subject.translatedBresenham's algorithmen
dc.subject.translatedBézier curvesen
dc.subject.translatedB-splineen
dc.subject.translatedraster graphicsen
dc.subject.translatedconic interpolatoren
dc.titleA new method for rasterization of parametric curves and its application to fast bezier patch shadingen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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Volume 5, number 1-3 (1997)