5D Covariance Tracing for Efficient Defocus and Motion Blur - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles ACM Transactions on Graphics Year : 2013

5D Covariance Tracing for Efficient Defocus and Motion Blur


The rendering of effects such as motion blur and depth-of-field requires costly 5D integrals. We dramatically accelerate their computation through adaptive sampling and reconstruction based on the prediction of the anisotropy and bandwidth of the integrand. For this, we develop a new frequency analysis of the 5D temporal light-field, and show that first-order motion can be handled through simple changes of coordinates in 5D. We further introduce a compact representation of the spectrum using the covariance matrix and Gaussian approximations. We derive update equations for the 5 by 5 covariance matrices for each atomic light transport event, such as transport, occlusion, BRDF, texture, lens, and motion. The focus on atomic operations makes our work general, and removes the need for special-case formulas. We present a new rendering algorithm that computes 5D covariance matrices on the image plane by tracing paths through the scene, focusing on the single-bounce case. This allows us to reduce sampling rates when appropriate and perform reconstruction of images with complex depth-of-field and motion blur effects.
Fichier principal
Vignette du fichier
paper_TOG.pdf (5.96 Mo) Télécharger le fichier
Vignette du fichier
covariance-tracing.png (487.53 Ko) Télécharger le fichier
Sig13CovTr.pdf (19.54 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Format Figure, Image
Origin Files produced by the author(s)

Dates and versions

hal-00814164 , version 1 (31-08-2016)




Laurent Belcour, Cyril Soler, Kartic Subr, Nicolas Holzschuch, Frédo Durand. 5D Covariance Tracing for Efficient Defocus and Motion Blur. ACM Transactions on Graphics, 2013, 32 (3), pp.Article No. 31. ⟨10.1145/2487228.2487239⟩. ⟨hal-00814164⟩
1956 View
1385 Download



Gmail Mastodon Facebook X LinkedIn More