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Author: John E. Crider

Affiliation: 32919 Leafy Oak Court, United States

Keyword(s): Coordinate system, mapping, quadrilateral, sphere, texture, tiling.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Fundamental Methods and Algorithms ; Geometric Computing ; Geometry and Modeling

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.

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Paper citation in several formats:
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 (VISIGRAPP 2007) - Volume 2: GRAPP; ISBN 978-972-8865-71-9; ISSN 2184-4321, SciTePress, pages 116-123. DOI: 10.5220/0002074701160123

@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 (VISIGRAPP 2007) - Volume 2: GRAPP},
year={2007},
pages={116-123},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002074701160123},
isbn={978-972-8865-71-9},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Second International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2007) - Volume 2: GRAPP
TI - TILING THE SPHERE WITH DIAMONDS FOR TEXTURE MAPPING
SN - 978-972-8865-71-9
IS - 2184-4321
AU - E. Crider, J.
PY - 2007
SP - 116
EP - 123
DO - 10.5220/0002074701160123
PB - SciTePress