Show simple item record

dc.contributor.authorKhanteimouri, Payamen_US
dc.contributor.authorMandad, Manishen_US
dc.contributor.authorCampen, Marcelen_US
dc.contributor.editorCampen, Marcelen_US
dc.contributor.editorSpagnuolo, Michelaen_US
dc.description.abstractWe present a reliable method to generate planar meshes of nonlinear rational triangular elements. The elements are guaranteed to be valid, i.e. defined by injective rational functions. The mesh is guaranteed to conform exactly, without geometric error, to arbitrary rational domain boundary and feature curves. The method generalizes the recent Bézier Guarding technique, which is applicable only to polynomial curves and elements. This generalization enables the accurate handling of practically important cases involving, for instance, circular or elliptic arcs and NURBS curves, which cannot be matched by polynomial elements. Furthermore, although many practical scenarios are concerned with rational functions of quadratic and cubic degree only, our method is fully general and supports arbitrary degree. We demonstrate the method on a variety of test cases.en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectCCS Concepts: Computing methodologies --> Computer graphics; Mesh models; Mesh geometry models; Shape modeling; Applied computing --> Computer-aided design; Mathematics of computing --> Mesh generation
dc.subjectComputing methodologies
dc.subjectComputer graphics
dc.subjectMesh models
dc.subjectMesh geometry models
dc.subjectShape modeling
dc.subjectApplied computing
dc.subjectaided design
dc.subjectMathematics of computing
dc.subjectMesh generation
dc.titleRational Bézier Guardingen_US
dc.description.seriesinformationComputer Graphics Forum
dc.description.sectionheadersMeshes and Partitions
dc.identifier.pages11 pages

Files in this item


This item appears in the following Collection(s)

  • 41-Issue 5
    Geometry Processing 2022 - Symposium Proceedings

Show simple item record