Advanced Search
DSpace@MIT

5D Covariance Tracing for Efficient Defocus and Motion Blur

Research and Teaching Output of the MIT Community

Show simple item record

dc.contributor Fredo Durand en_US
dc.contributor.advisor Fredo Durand
dc.contributor.author Belcour, Laurent en_US
dc.contributor.author Soler, Cyril en_US
dc.contributor.author Subr, Kartic en_US
dc.contributor.author Holzschuch, Nicolas en_US
dc.contributor.author Durand, Fredo en_US
dc.contributor.other Computer Graphics en
dc.date.accessioned 2012-11-16T18:00:09Z
dc.date.available 2012-11-16T18:00:09Z
dc.date.issued 2012-11-16
dc.identifier.uri http://hdl.handle.net/1721.1/74662
dc.description.abstract 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 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.extent 19 p. en_US
dc.relation.ispartofseries MIT-CSAIL-TR-2012-034
dc.subject Rendering en_US
dc.subject Computer Graphics en_US
dc.subject Fourier en_US
dc.title 5D Covariance Tracing for Efficient Defocus and Motion Blur en_US


Files in this item

Name Size Format Description
MIT-CSAIL-TR-2012 ... 6.392Mb PDF

This item appears in the following Collection(s)

Show simple item record

MIT-Mirage