Meshless Finite Elements for Hierarchical Global Illumination - Archive ouverte HAL Access content directly
Reports (Technical Report) Year : 2007

Meshless Finite Elements for Hierarchical Global Illumination

(1) , (2) , (3) , (4) , (4) , (5)
1
2
3
4
5

Abstract

We introduce a meshless finite element framework for solving light transport problems. Traditional finite element methods use basis functions parameterized directly on the mesh surface. The creation of suitable parameterizations or clusterings requires pre-processing that is difficult, error-prone, and sensitive to the quality of input geometry. The resulting light transport solutions still tend to exhibit discontinuities, necessitating heuristic post-processing before visualization. Due to these problems finite element methods are rarely used in production. The core idea of our approach is to use finite element basis functions induced by hierarchical scattered data approximation techniques. This leads to a mathematically rigorous recipe for meshless finite element illumination computations. As a main advantage, our approach decouples the function spaces used for solving the transport equations from the representation of the scene geometry. The resulting solutions are accurate, exhibit no spurious discontinuities, and can be visualized directly without post-processing, while parameterization, meshing and clustering problems are avoided. The resulting methods are furthermore easy to implement. We demonstrate the power of our framework by describing implementations of hierarchical radiosity, glossy precomputed radiance transfer from distant illumination, and diffuse indirect precomputed transport from local light sources. Moreover, we describe how to directly visualize the solutions on graphics hardware.
Vignette du fichier
01_iprt_sibenik.png (804.45 Ko) Télécharger le fichier Fichier principal
Vignette du fichier
meshless-TR-TML-B7.pdf (8.56 Mo) Télécharger le fichier
Vignette du fichier
02_iprt_cornell.png (288.98 Ko) Télécharger le fichier
Vignette du fichier
03_basis_functions.png (105.79 Ko) Télécharger le fichier
Format : Figure, Image
Origin : Files produced by the author(s)
Format : Figure, Image
Format : Figure, Image
Loading...

Dates and versions

inria-00510246 , version 1 (27-08-2010)

Identifiers

  • HAL Id : inria-00510246 , version 1

Cite

Jaakko Lehtinen, Matthias Zwicker, Janne Kontkanen, Emmanuel Turquin, François X. Sillion, et al.. Meshless Finite Elements for Hierarchical Global Illumination. [Technical Report] Technical Report TML-B7, Publications in Telecommunications Software and Multimedia, Helsinki University of Technology. 2007. ⟨inria-00510246⟩
578 View
5335 Download

Share

Gmail Facebook Twitter LinkedIn More