Projective Blue‐Noise Sampling

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dc.contributor.authorReinert, Bernharden_US
dc.contributor.authorRitschel, Tobiasen_US
dc.contributor.authorSeidel, Hans‐Peteren_US
dc.contributor.authorGeorgiev, Iliyanen_US
dc.contributor.editorChen, Min and Zhang, Hao (Richard)en_US
dc.date.accessioned2016-03-01T14:13:10Z
dc.date.available2016-03-01T14:13:10Z
dc.date.issued2016en_US
dc.description.abstractWe propose projective blue‐noise patterns that retain their blue‐noise characteristics when undergoing one or multiple projections onto lower dimensional subspaces. These patterns are produced by extending existing methods, such as dart throwing and Lloyd relaxation, and have a range of applications. For numerical integration, our patterns often outperform state‐of‐the‐art stochastic and low‐discrepancy patterns, which have been specifically designed only for this purpose. For image reconstruction, our method outperforms traditional blue‐noise sampling when the variation in the signal is concentrated along one dimension. Finally, we use our patterns to distribute primitives uniformly in 3D space such that their 2D projections retain a blue‐noise distribution.We propose projective blue‐noise patterns that retain their blue‐noise characteristics when undergoing one or multiple projections onto lower dimensional subspaces. These patterns are produced by extending existing methods, such as dart throwing and Lloyd relaxation, and have a range of applications. For numerical integration, our patterns often outperform state‐of‐the‐art stochastic and low‐discrepancy patterns, which have been specifically designed only for this purpose. For image reconstruction, our method outperforms traditional blue‐noise sampling when the variation in the signal is concentrated along one dimension. Finally, we use our patterns to distribute primitives uniformly in 3D space such that their 2D projections retain a blue‐noise distribution.en_US
dc.description.number1en_US
dc.description.sectionheadersArticlesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12725en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12725en_US
dc.publisherCopyright © 2016 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectsamplingen_US
dc.subjectblue‐noiseen_US
dc.subjectMonte Carlo renderingen_US
dc.subjectimage reconstructionen_US
dc.subjectprimitive placementen_US
dc.subjectI.3.3 [Computer Graphics]: Picture/Image Generation—Antialiasing; I.4.1 [Image Processing and Computer Vision]: Digitization and Image Capture—Samplingen_US
dc.titleProjective Blue‐Noise Samplingen_US
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