NDLI: Spherical fibonacci mapping

Content Provider	ACM Digital Library
Author	Stamminger, Marc Innmann, Matthias Sänger, Michael Keinert, Benjamin
Copyright Year	2015
Abstract	Spherical Fibonacci point sets yield nearly uniform point distributions on the unit sphere $S^{2}$ ⊂ $R^{3}.$ The forward generation of these point sets has been widely researched and is easy to implement, such that they have been used in various applications. Unfortunately, the lack of an efficient mapping from points on the unit sphere to their closest spherical Fibonacci point set neighbors rendered them impractical for a wide range of applications, especially in computer graphics. Therefore, we introduce an inverse mapping from points on the unit sphere which yields the nearest neighbor in an arbitrarily sized spherical Fibonacci point set in constant time, without requiring any precomputations or table lookups. We show how to implement this inverse mapping on GPUs while addressing arising floating point precision problems. Further, we demonstrate the use of this mapping and its variants, and show how to apply it to fast unit vector quantization. Finally, we illustrate the means by which to modify this inverse mapping for texture mapping with smooth filter kernels and showcase its use in the field of procedural modeling.
Starting Page	1
Ending Page	7
Page Count	7
File Format	PDF
ISSN	07300301
e-ISSN	15577368
DOI	10.1145/2816795.2818131
Volume Number	34
Issue Number	6
Journal	ACM Transactions on Graphics (TOG)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2015-10-26
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Constant time Inverse mapping Spherical Fibonacci
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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