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

Summary, in English

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

• Author: Petrik Clarberg
• Department/s: Department of Computer Science; Parallel Systems
• Publishing year: 2008
• Language: English
• Pages: 53-68
• Publication/Series: Journal of Graphics Tools
• Volume: 13
• Issue: 3
• Links: http://fileadmin.cs.lth.se/graphics/research/papers/2008/simdmapping/clarberg_simdmapping08_preprint.pdf
• Document type: Journal article
• Publisher: AK Peters
• Topic: Computer Science
• Status: Published
• Research group: Computer Graphics
• ISBN/ISSN/Other: ISSN: 2151-237X