Analytic Rasterization of Curves with Polynomial Filters

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dc.contributor.authorManson, Josiahen_US
dc.contributor.authorSchaefer, Scotten_US
dc.contributor.editorI. Navazo, P. Poulinen_US
dc.date.accessioned2015-02-28T15:26:30Z
dc.date.available2015-02-28T15:26:30Z
dc.date.issued2013en_US
dc.description.abstractWe present a method of analytically rasterizing shapes that have curved boundaries and linear color gradients using piecewise polynomial prefilters. By transforming the convolution of filters with the image from an integral over area into a boundary integral, we find closed-form expressions for rasterizing shapes. We show that a polynomial expression can be used to rasterize any combination of polynomial curves and filters. Our rasterizer also handles rational quadratic boundaries, which allows us to evaluate circles and ellipses. We apply our technique to rasterizing vector graphics and show that our derivation gives an efficient implementation as a scanline rasterizer.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.doi10.1111/cgf.12070en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12070en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectI.3.7 [Computer Graphics]en_US
dc.subjectThree Dimensional Graphics and Realismen_US
dc.subjectColoren_US
dc.subjectshadingen_US
dc.subjectshadowingen_US
dc.subjectand textureen_US
dc.titleAnalytic Rasterization of Curves with Polynomial Filtersen_US
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