Sparse Ferguson-Hermite Signed Distance Fields

dc.contributor.authorBán, Róberten_US
dc.contributor.authorValasek, Gáboren_US
dc.contributor.editorSingh, Gurpriten_US
dc.contributor.editorChu, Mengyu (Rachel)en_US
dc.date.accessioned2023-05-03T06:05:55Z
dc.date.available2023-05-03T06:05:55Z
dc.date.issued2023
dc.description.abstractWe investigate Hermite interpolation in the context of discrete signed distance field filtering. Our method uses tricubic Hermite interpolation to generate a C1 continuous approximation to the signed distance function of the input scene. Our representation is kept purely first order by setting the mixed partial derivatives to zero, similarly to how Ferguson constructed bicubic Hermite patches. Our scheme stores four scalars at each sample, the value of the signed distance function and its first three partial derivatives. We optimize storage by only storing voxels that enclose a volume boundary. We show that this provides both a significant reduction in storage and render times compared to a dense grid of Ferguson-Hermite samples. Moreover, our construct requires smaller storage than traditional zero order trilinearly filtered fields of the same visual quality, at the expense of performance.en_US
dc.description.sectionheadersPosters
dc.description.seriesinformationEurographics 2023 - Posters
dc.identifier.doi10.2312/egp.20231029
dc.identifier.isbn978-3-03868-211-0
dc.identifier.issn1017-4656
dc.identifier.pages17-18
dc.identifier.pages2 pages
dc.identifier.urihttps://doi.org/10.2312/egp.20231029
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/egp20231029
dc.publisherThe Eurographics Associationen_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Computing methodologies -> Rendering; Shape modeling; Mathematics of computing -> Continuous functions
dc.subjectComputing methodologies
dc.subjectRendering
dc.subjectShape modeling
dc.subjectMathematics of computing
dc.subjectContinuous functions
dc.titleSparse Ferguson-Hermite Signed Distance Fieldsen_US
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