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dc.contributorFredo Duranden_US
dc.contributor.advisorFredo Durand
dc.contributor.authorBelcour, Laurenten_US
dc.contributor.authorSoler, Cyrilen_US
dc.contributor.authorSubr, Karticen_US
dc.contributor.authorHolzschuch, Nicolasen_US
dc.contributor.authorDurand, Fredoen_US
dc.contributor.otherComputer Graphicsen
dc.date.accessioned2012-11-16T18:00:09Z
dc.date.available2012-11-16T18:00:09Z
dc.date.issued2012-11-16
dc.identifier.urihttp://hdl.handle.net/1721.1/74662
dc.description.abstractThe 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 co- variance matrix and Gaussian approximations. We derive update equations for the 5 × 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.en_US
dc.format.extent19 p.en_US
dc.relation.ispartofseriesMIT-CSAIL-TR-2012-034
dc.subjectRenderingen_US
dc.subjectComputer Graphicsen_US
dc.subjectFourieren_US
dc.title5D Covariance Tracing for Efficient Defocus and Motion Bluren_US


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