A Colour Interpolation Scheme for Topologically Unrestricted Gradient Meshes

dc.contributor.authorLieng, Henriken_US
dc.contributor.authorKosinka, Jiříen_US
dc.contributor.authorShen, Jingjingen_US
dc.contributor.authorDodgson, Neil A.en_US
dc.contributor.editorChen, Min and Zhang, Hao (Richard)en_US
dc.date.accessioned2018-01-10T07:36:16Z
dc.date.available2018-01-10T07:36:16Z
dc.date.issued2017
dc.description.abstractGradient meshes are a 2D vector graphics primitive where colour is interpolated between mesh vertices. The current implementations of gradient meshes are restricted to rectangular mesh topology. Our new interpolation method relaxes this restriction by supporting arbitrary manifold topology of the input gradient mesh. Our method is based on the Catmull‐Clark subdivision scheme, which is well‐known to support arbitrary mesh topology in 3D. We adapt this scheme to support gradient mesh colour interpolation, adding extensions to handle interpolation of colours of the control points, interpolation only inside the given colour space and emulation of gradient constraints seen in related closed‐form solutions. These extensions make subdivision a viable option for interpolating arbitrary‐topology gradient meshes for 2D vector graphics.Gradient meshes are a 2D vector graphics primitive where colour is interpolated between mesh vertices. The current implementations of gradient meshes are restricted to rectangular mesh topology. Our new interpolation method relaxes this restriction by supporting arbitrary manifold topology of the input gradient mesh. Our method is based on the Catmull‐Clark subdivision scheme, which is well‐known to support arbitrary mesh topology in 3D.en_US
dc.description.number6
dc.description.sectionheadersArticles
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume36
dc.identifier.doi10.1111/cgf.12862
dc.identifier.issn1467-8659
dc.identifier.pages112-121
dc.identifier.urihttps://doi.org/10.1111/cgf.12862
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf12862
dc.publisher© 2017 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectgradient mesh
dc.subjectcolour interpolation
dc.subjectsubdivision surface
dc.subjectI.3.3 [Computer Graphics]: Picture/Image Generation—Generation, Graphics Utilities
dc.titleA Colour Interpolation Scheme for Topologically Unrestricted Gradient Meshesen_US
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