Textures on Rank-1 Lattices

dc.contributor.authorDammertz, Sabrinaen_US
dc.contributor.authorDammertz, Holgeren_US
dc.contributor.authorKeller, Alexanderen_US
dc.contributor.authorLensch, Hendrik P. A.en_US
dc.date.accessioned2015-02-23T16:09:09Z
dc.date.available2015-02-23T16:09:09Z
dc.date.issued2009en_US
dc.description.abstractStoring textures on orthogonal tensor product lattices is predominant in computer graphics, although it is known that their sampling efficiency is not optimal. In two dimensions, the hexagonal lattice provides the maximum sampling efficiency. However, handling these lattices is difficult, because they are not able to tile an arbitrary rectangular region and have an irrational basis. By storing textures on rank-1 lattices, we resolve both problems: Rank-1 lattices can closely approximate hexagonal lattices, while all coordinates of the lattice points remain integer. At identical memory footprint texture quality is improved as compared to traditional orthogonal tensor product lattices due to the higher sampling efficiency. We introduce the basic theory of rank-1 lattice textures and present an algorithmic framework which easily can be integrated into existing off-line and real-time rendering systems.en_US
dc.description.number7en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume28en_US
dc.identifier.doi10.1111/j.1467-8659.2009.01573.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages1945-1954en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2009.01573.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleTextures on Rank-1 Latticesen_US
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