In this work we introduce a novel algorithm for transient rendering in participating media. Our method is consistent, robust, and is able to generate animations of time-resolved light transport featuring complex caustic light paths in media. We base our method on the observation that the spatial continuity provides an increased coverage of the temporal domain, and generalize photon beams to transient-state. We extend stead-state photon beam radiance estimates to include the temporal domain. Then, we develop a progressive variant of our approach which provably converges to the correct solution using finite memory by averaging independent realizations of the estimates with progressively reduced kernel bandwidths. We derive the optimal convergence rates accounting for space and time kernels, and demonstrate our method against previous consistent transient rendering methods for participating media.



@article{MarcoCGF2019PTPB, author = {Marco, Julio and Guill\'{e}n, Ib\'{o}n and Jarosz, Wojciech and Gutierrez, Diego and Jarabo, Adrian}, title = {Progressive Transient Photon Beams}, journal = {Computer Graphics Forum}, year = {2019}, volume = {38}, number = {6} }

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We want to thank the reviewers for their insightful comments. This project has been funded by DARPA (project REVEAL), the European Research Council (ERC) under the EU’s Horizon 2020 research and innovation programme (project CHAMELEON, grant No 682080), the Spanish Ministry of Economy and Competitiveness (project TIN2016-78753-P), the BBVA Foundation, and the Gobierno de Aragón.