Lipschitz Pruning: Hierarchical Simplification of Primitive-Based SDFs

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dc.contributor.authorBarbier, Wilhemen_US
dc.contributor.authorSanchez, Mathieuen_US
dc.contributor.authorParis, Axelen_US
dc.contributor.authorMichel, Élieen_US
dc.contributor.authorLambert, Thibauden_US
dc.contributor.authorBoubekeur, Tamyen_US
dc.contributor.authorPaulin, Mathiasen_US
dc.contributor.authorThonat, Theoen_US
dc.contributor.editorBousseau, Adrienen_US
dc.contributor.editorDay, Angelaen_US
dc.date.accessioned2025-05-09T09:14:38Z
dc.date.available2025-05-09T09:14:38Z
dc.date.issued2025
dc.description.abstractRendering tree-based analytical Signed Distance Fields (SDFs) through sphere tracing often requires to evaluate many primitives per tracing step, for many steps per pixel of the end image. This cost quickly becomes prohibitive as the number of primitives that constitute the SDF grows. In this paper, we alleviate this cost by computing local pruned trees that are equivalent to the full tree within their region of space while being much faster to evaluate. We introduce an efficient hierarchical tree pruning method based on the Lipschitz property of SDFs, which is compatible with hard and smooth CSG operators. We propose a GPU implementation that enables real-time sphere tracing of complex SDFs composed of thousands of primitives with dynamic animation. Our pruning technique provides significant speedups for SDF evaluation in general, which we demonstrate on sphere tracing tasks but could also lead to significant improvement for SDF discretization or polygonization.en_US
dc.description.number2
dc.description.sectionheadersThe Shape of Rendering
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume44
dc.identifier.doi10.1111/cgf.70057
dc.identifier.issn1467-8659
dc.identifier.pages12 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.70057
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf70057
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleLipschitz Pruning: Hierarchical Simplification of Primitive-Based SDFsen_US
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