Skip to Main content Skip to Navigation
Journal articles

Fourier Depth of Field

Cyril Soler 1, * Kartic Subr 1 Frédo Durand 2, 3 Nicolas Holzschuch 1 François X. Sillion 1
* Corresponding author
1 ARTIS - Acquisition, representation and transformations for image synthesis
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
Abstract : Optical systems used in photography and cinema produce depth of field effects, that is, variations of focus with depth. These effects are simulated in image synthesis by integrating incoming radiance at each pixel over the lense aperture. Unfortunately, aperture integration is extremely costly for defocused areas where the incoming radiance has high variance, since many samples are then required for a noise-free Monte Carlo integration. On the other hand, using many aperture samples is wasteful in focused areas where the integrand varies little. Similarly, image sampling in defocused areas should be adapted to the very smooth appearance variations due to blurring. This paper introduces an analysis of focusing and depth of field in the frequency domain, allowing a practical characterization of a light field's frequency content both for image and aperture sampling. Based on this analysis we propose an adaptive depth of field rendering algorithm which optimizes sampling in two important ways. First, image sampling is based on conservative bandwidth prediction and a splatting reconstruction technique ensures correct image reconstruction. Second, at each pixel the variance in the radiance over the aperture is estimated, and used to govern sampling. This technique is easily integrated in any sampling-based renderer, and vastly improves performance.
Document type :
Journal articles
Complete list of metadata

Cited literature [24 references]  Display  Hide  Download
Contributor : Nicolas Holzschuch Connect in order to contact the contributor
Submitted on : Monday, November 30, 2009 - 2:49:54 PM
Last modification on : Monday, November 8, 2021 - 9:48:07 AM
Long-term archiving on: : Monday, June 7, 2010 - 9:21:41 PM




Cyril Soler, Kartic Subr, Frédo Durand, Nicolas Holzschuch, François X. Sillion. Fourier Depth of Field. ACM Transactions on Graphics, Association for Computing Machinery, 2009, 28 (2), pp.18:1--18:12. ⟨10.1145/1516522.1516529⟩. ⟨inria-00345902⟩



Record views


Files downloads