Rendering piecewise approximations of SDFs through analytic intersections

Signed distance fields (SDFs) have emerged as an alternative shape representation for real-time collision detection and lighting effects. Computing these for complex models can be expensive, so one popular approach is to prepare an approximation via sampling and interpolation. Then, these may be ren...

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Vydáno v:Computers & graphics Ročník 122; s. 103981
Hlavní autoři: Pujol, Eduard, Chica, Antonio
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Ltd 01.08.2024
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ISSN:0097-8493
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Abstract Signed distance fields (SDFs) have emerged as an alternative shape representation for real-time collision detection and lighting effects. Computing these for complex models can be expensive, so one popular approach is to prepare an approximation via sampling and interpolation. Then, these may be rendered using sphere marching, which gets close to the surface quickly, but needs several iterations to converge to it. In this paper, we propose an alternative that computes the intersection of a given ray and the surface analytically at a narrow band. This may be combined with other enhancements like having variable error for the approximation depending on the distance to the surface and skipping regions that do not contain the surface to accelerate the outer band ray traversal while reducing the required memory. To achieve smoother representations with minimal computational cost, we propose a method for computing surface intersections and normals from separate interpolants. We evaluate all these to find the optimal combination improving the rendering performance and memory consumption of these SDF approximations. [Display omitted] •Enhancements for rendering SDF piecewise approximations.•Solving narrow band intersections using analytical methods.•Reducing SDF approximations for improving required memory and outer band ray traversal.
AbstractList Signed distance fields (SDFs) have emerged as an alternative shape representation for real-time collision detection and lighting effects. Computing these for complex models can be expensive, so one popular approach is to prepare an approximation via sampling and interpolation. Then, these may be rendered using sphere marching, which gets close to the surface quickly, but needs several iterations to converge to it. In this paper, we propose an alternative that computes the intersection of a given ray and the surface analytically at a narrow band. This may be combined with other enhancements like having variable error for the approximation depending on the distance to the surface and skipping regions that do not contain the surface to accelerate the outer band ray traversal while reducing the required memory. To achieve smoother representations with minimal computational cost, we propose a method for computing surface intersections and normals from separate interpolants. We evaluate all these to find the optimal combination improving the rendering performance and memory consumption of these SDF approximations. [Display omitted] •Enhancements for rendering SDF piecewise approximations.•Solving narrow band intersections using analytical methods.•Reducing SDF approximations for improving required memory and outer band ray traversal.
ArticleNumber 103981
Author Chica, Antonio
Pujol, Eduard
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crossref_primary_10_1016_j_cag_2025_104335
crossref_primary_10_1016_j_cag_2024_103995
Cites_doi 10.1111/j.1467-8659.2011.02058.x
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Keywords Ray marching
Rendering
Implicit functions
Distance fields
Language English
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Snippet Signed distance fields (SDFs) have emerged as an alternative shape representation for real-time collision detection and lighting effects. Computing these for...
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StartPage 103981
SubjectTerms Distance fields
Implicit functions
Ray marching
Rendering
Title Rendering piecewise approximations of SDFs through analytic intersections
URI https://dx.doi.org/10.1016/j.cag.2024.103981
Volume 122
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