Smooth Stream Surfaces of Fourth Order Precision

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dc.contributor.authorSchneider, Dominicen_US
dc.contributor.authorWiebel, Alexanderen_US
dc.contributor.authorScheuermann, Geriken_US
dc.contributor.editorH.-C. Hege, I. Hotz, and T. Munzneren_US
dc.date.accessioned2014-02-21T19:50:50Z
dc.date.available2014-02-21T19:50:50Z
dc.date.issued2009en_US
dc.description.abstractWe introduce a novel technique for the construction of smooth stream surfaces of 4th order precision. While common stream surface techniques use linear interpolation for generating seed points for new streamlines in the refinement phase, we use Hermite interpolation. The derivatives needed for Hermite interpolation are obtained by integration along the streamlines. This yields stream surfaces of 4th order precision. Additionally, we analyse the accuracy of the well known Hultquist approach and our new algorithm and proof that Hultquist s method is exact for linear vector fields. We compare both methods using the well known distance based and a novel error based refinement strategy. Our resulting surface is C1-continuous, enabling improved rendering among other benefits.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume28en_US
dc.identifier.doi10.1111/j.1467-8659.2009.01462.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2009.01462.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.titleSmooth Stream Surfaces of Fourth Order Precisionen_US
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