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Fast equal-area mapping of the (hemi)sphere using SIMD

  • Petrik Clarberg
Publiceringsår: 2008
Språk: Engelska
Sidor: 53-68
Publikation/Tidskrift/Serie: Journal of Graphics Tools
Volym: 13
Nummer: 3
Dokumenttyp: Artikel i tidskrift
Förlag: AK Peters


We present a fast vectorized implementation of a transform that maps

points in the unit square to the surface of the sphere, while preserving fractional

area. The mapping uses the octahedral map combined with an equal-area param-

eterization and has many desirable features such as low distortion, straightforward

interpolation, and fast inverse and forward transforms. Our SIMD implementation

completely avoids branching and uses polynomial approximations for the trigono-

metric operations, along with other tricks. This results in up to 9 times speed-up

over a traditional scalar implementation. Source code is available online


  • Computer Science


  • Computer Graphics-lup-obsolete
  • ISSN: 2151-237X

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