Fast equal-area mapping of the (hemi)sphere using SIMD
(2008) In Journal of Graphics Tools 13(3). p.53-68- Abstract
- 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
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1545874
- author
- Clarberg, Petrik LU
- organization
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Graphics Tools
- volume
- 13
- issue
- 3
- pages
- 53 - 68
- publisher
- AK Peters
- ISSN
- 2151-237X
- language
- English
- LU publication?
- yes
- id
- 7e2d6972-7508-490a-bdd6-4d3019568e91 (old id 1545874)
- alternative location
- http://fileadmin.cs.lth.se/graphics/research/papers/2008/simdmapping/clarberg_simdmapping08_preprint.pdf
- date added to LUP
- 2016-04-01 12:03:53
- date last changed
- 2021-05-06 16:33:11
@article{7e2d6972-7508-490a-bdd6-4d3019568e91,
abstract = {{We present a fast vectorized implementation of a transform that maps <br/><br>
points in the unit square to the surface of the sphere, while preserving fractional <br/><br>
area. The mapping uses the octahedral map combined with an equal-area param- <br/><br>
eterization and has many desirable features such as low distortion, straightforward <br/><br>
interpolation, and fast inverse and forward transforms. Our SIMD implementation <br/><br>
completely avoids branching and uses polynomial approximations for the trigono- <br/><br>
metric operations, along with other tricks. This results in up to 9 times speed-up <br/><br>
over a traditional scalar implementation. Source code is available online}},
author = {{Clarberg, Petrik}},
issn = {{2151-237X}},
language = {{eng}},
number = {{3}},
pages = {{53--68}},
publisher = {{AK Peters}},
series = {{Journal of Graphics Tools}},
title = {{Fast equal-area mapping of the (hemi)sphere using SIMD}},
url = {{http://fileadmin.cs.lth.se/graphics/research/papers/2008/simdmapping/clarberg_simdmapping08_preprint.pdf}},
volume = {{13}},
year = {{2008}},
}