First Order Signed Distance Fields

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dc.contributor.authorBán, Róberten_US
dc.contributor.authorValasek, Gáboren_US
dc.contributor.editorWilkie, Alexander and Banterle, Francescoen_US
dc.date.accessioned2020-05-24T13:42:29Z
dc.date.available2020-05-24T13:42:29Z
dc.date.issued2020
dc.description.abstractThis paper investigates a first order generalization of signed distance fields. We show that we can improve accuracy and storage efficiency by incorporating the spatial derivatives of the signed distance function into the distance field samples. We show that a representation in power basis remains invariant under barycentric combination, as such, it is interpolated exactly by the GPU. Our construction is applicable in any geometric setting where point-surface distances can be queried. To emphasize the practical advantages of this approach, we apply our results to signed distance field generation from triangular meshes. We propose storage optimization approaches and offer a theoretical and empirical accuracy analysis of our proposed distance field type in relation to traditional, zero order distance fields. We show that the proposed representation may offer an order of magnitude improvement in storage while retaining the same precision as a higher resolution distance field.en_US
dc.description.sectionheadersModelling - Shape
dc.description.seriesinformationEurographics 2020 - Short Papers
dc.identifier.doi10.2312/egs.20201011
dc.identifier.isbn978-3-03868-101-4
dc.identifier.issn1017-4656
dc.identifier.pages33-36
dc.identifier.urihttps://doi.org/10.2312/egs.20201011
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/egs20201011
dc.publisherThe Eurographics Associationen_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/]
dc.subjectComputing methodologies
dc.subjectRay tracing
dc.subjectVolumetric models
dc.titleFirst Order Signed Distance Fieldsen_US
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