Fast Approximation to Spherical Harmonic Rotation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F06%3A03119100" target="_blank" >RIV/68407700:21230/06:03119100 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Fast Approximation to Spherical Harmonic Rotation
Original language description
Rotation of functions represented by spherical harmonics is an important part of many real-time lighting and global illumination algorithms. For some of them a per-vertex or even per-pixel rotation is required, which implies the necessity of an efficientrotation procedure. The speed of any of the existing rotation procedures is, however, not able to meet the requirements of real-time lighting or fast global illumination. We present an efficient approximation of the spherical harmonic rotation applicable for small rotation angles. We replace the general spherical harmonic rotation matrix by its truncated Taylor expansion, which significantly decreases the computation involved in the rotation. Our approximation decreases the asymptotic complexity of therotation---the higher the order of spherical harmonics, the higher the speed-up. We show applications of the proposed rotation approximation in global illumination and real-time shading. Although the rotation approximation is accurate on
Czech name
Rychlá aproximace rotace sférických harmonických
Czech description
V tomto článku představujeme efektivní aproximaci rotace sférických harmonických, jež je aplikovatelná pro malé úhly rotace. V naší rotaci je obecná rotační matice pro sférické harmonické nahrazena Taylorovým rozvojem prvního nebo druhého řádu, což výrazně snižuje výpočetní složitost rotační procedury.
Classification
Type
D - Article in proceedings
CEP classification
JC - Computer hardware and software
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LC06008" target="_blank" >LC06008: Center of Computer Graphics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Conference Proceedings - Spring Conference on Computer Graphics 2006
ISBN
80-223-2175-3
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
51-58
Publisher name
Comenius University
Place of publication
Bratislava
Event location
Častá-Papiernička
Event date
Apr 20, 2006
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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