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Numerical Aspects of Image Rendering using Spherical Harmonics
Linköping University, Department of Mathematics, Scientific Computing.
2009 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Image rendering is the process of creating realistic computer images from  geometric models and physical laws of light and reflection. This master thesis deals mainly with the numerical intricacies of implementing an image renderer using spherical harmonics. It investigates how to calculate the reflection of light in a surface using the Phong model, and employs ray tracing to create a realistic image of a geometric model. Further, it investigates different ways of calculating the spherical harmonic representation of a function defined on the sphere. The thesis also deals with the implementation of self-shadowing, and the effects of adding this component to the rendering equation.

Place, publisher, year, edition, pages
2009. , 63 p.
Keyword [en]
Spherical Harmonics, Ray Tracing, Image Rendering
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-17706ISRN: LITH-MAI-EX-2008/10-SEOAI: oai:DiVA.org:liu-17706DiVA: diva2:214236
Subject / course
Scientific Computing
Presentation
Kompakta Rummet, B-Huset, Linköpings Universitet, Linköping (English)
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2009-05-05 Created: 2009-04-15 Last updated: 2011-10-18Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf