Frequency analysis and sheared reconstruction for rendering motion blur
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Durand-Frequency analysis.pdf
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Author(s) • • • •
Egan, Kevin
Tseng, Yu-Ting
Holzschuch, Nicolas
Durand, Fredo
Ramamoorthi, Ravi
Date Issued
August 2009
Journal
ACM SIGGRAPH 2009 papers (SIGGRAPH '09)
Publisher
Association for Computing Machinery (ACM)
Citation
Kevin Egan, Yu-Ting Tseng, Nicolas Holzschuch, Fredo Durand, and Ravi Ramamoorthi. 2009. Frequency analysis and sheared reconstruction for rendering motion blur. ACM Trans. Graph. 28, 3, Article 93 (July 2009), 13 pages.
Version
Author's final manuscript
Abstract
Motion blur is crucial for high-quality rendering, but is also very expensive. Our first contribution is a frequency analysis of motion-blurred scenes, including moving objects, specular reflections, and shadows. We show that motion induces a shear in the frequency domain, and that the spectrum of moving scenes can be approximated by a wedge. This allows us to compute adaptive space-time sampling rates, to accelerate rendering. For uniform velocities and standard axis-aligned reconstruction, we show that the product of spatial and temporal bandlimits or sampling rates is constant, independent of velocity. Our second contribution is a novel sheared reconstruction filter that is aligned to the first-order direction of motion and enables even lower sampling rates. We present a rendering algorithm that computes a sheared reconstruction filter per pixel, without any intermediate Fourier representation. This often permits synthesis of motion-blurred images with far fewer rendering samples than standard techniques require.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1145/1531326.1531399