Informatica logo


Login Register

  1. Home
  2. Issues
  3. Volume 26, Issue 4 (2015)
  4. Helmholtz HSH-Based Basis: A Compact Phe ...

Informatica

Information Submit your article For Referees Help ATTENTION!
  • Article info
  • More
    Article info

Helmholtz HSH-Based Basis: A Compact Phenomenological Representation of Arbitrary Reflectance
Volume 26, Issue 4 (2015), pp. 593–620
Shireen Elhabian   Aly Farag  

Authors

 
Placeholder
https://doi.org/10.15388/Informatica.2015.66
Pub. online: 1 January 2015      Type: Research Article     

Received
1 March 2015
Accepted
1 June 2015
Published
1 January 2015

Abstract

Visual appearance can be phenomenologically modeled through an integral equation, known as reflectance equation. It describes the surface radiance which depends on the interaction between incident light field and surface Bidirectional Reflectance Distribution Function (BRDF). Being defined on the Cartesian product of the incident and outgoing hemispheres, hemispherical basis is the natural way to represent surface BRDFs. Nonetheless, due to their compactness in the frequency space, spherical harmonics have been extensively used for this purpose. Addressing the geometrical compliance of hemispherical basis, this paper proposes a Cartesian product of the hemispherical harmonics to provide a compact representation of plausible BRDFs, while satisfying the Helmholtz reciprocity property. We provide an analytical analysis and experimental justification that our basis provides better approximation accuracy when compared to similar bases in literature.

PDF XML
PDF XML

Copyright
Vilnius University

Keywords
reflectance modeling bidirectional reflectance distribution functions spherical harmonics hemispherical harmonics Fourier-space representation

Metrics
since January 2020
1012

Article info
views

0

Full article
views

461

PDF
downloads

195

XML
downloads

Export citation

Copy and paste formatted citation
Placeholder

Download citation in file


Share


RSS

INFORMATICA

  • Online ISSN: 1822-8844
  • Print ISSN: 0868-4952
  • Copyright © 2023 Vilnius University

About

  • About journal

For contributors

  • OA Policy
  • Submit your article
  • Instructions for Referees
    •  

    •  

Contact us

  • Institute of Data Science and Digital Technologies
  • Vilnius University

    Akademijos St. 4

    08412 Vilnius, Lithuania

    Phone: (+370 5) 2109 338

    E-mail: informatica@mii.vu.lt

    https://informatica.vu.lt/journal/INFORMATICA
Powered by PubliMill  •  Privacy policy