TILING THE SPHERE WITH DIAMONDS FOR TEXTURE MAPPING

John E. Crider

2007

Abstract

The sphere can be covered by any of an infinite number of tiling sets of equilateral spherical quadrilaterals (diamonds). Five of these tiling sets have practical use for texture mapping application. Points on the sphere can be described by intersections of geodesics, which provide coordinate values in a new coordinate system, defined for each tiling set. Each of the diamonds can be subdivided by a grid of coordinate geodesics to pixel level and so can be directly mapped to and from a texture array. The diamonds can also be subdivided into spherical quadrilaterals that can be approximated by pairs of triangles for fast rendering in a graphics system. Because coordinates in the new system are readily converted to and from Cartesian coordinates, diamonds can be used easily in interactive graphics and ray-tracing applications.

Paper Citation

in Harvard Style

E. Crider J. (2007). TILING THE SPHERE WITH DIAMONDS FOR TEXTURE MAPPING . In Proceedings of the Second International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, ISBN 978-972-8865-71-9, pages 116-123. DOI: 10.5220/0002074701160123

in Bibtex Style

@conference{grapp07,
author={John E. Crider},
title={TILING THE SPHERE WITH DIAMONDS FOR TEXTURE MAPPING},
booktitle={Proceedings of the Second International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP,},
year={2007},
pages={116-123},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002074701160123},
isbn={978-972-8865-71-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Second International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP,
TI - TILING THE SPHERE WITH DIAMONDS FOR TEXTURE MAPPING
SN - 978-972-8865-71-9
AU - E. Crider J.
PY - 2007
SP - 116
EP - 123
DO - 10.5220/0002074701160123