Quad-Based Fourier Transform for Efficient Diffraction Synthesis

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3 Citations (Scopus)


Far-field diffraction can be evaluated using the Discrete Fourier Transform (DFT) in image space but it is costly due to its dense sampling. We propose a technique based on a closed-form solution of the continuous Fourier transform for simple vector primitives (quads) and propose a hierarchical and progressive evaluation to achieve real-time performance. Our method is able to simulate diffraction effects in optical systems and can handle varying visibility due to dynamic light sources. Furthermore, it seamlessly extends to near-field diffraction. We show the benefit of our solution in various applications, including realistic real-time glare and bloom rendering.
Original languageEnglish
Pages (from-to)167-176
Number of pages10
JournalComputer Graphics Forum: the international journal of the Eurographics Association
Issue number4
Publication statusPublished - 2018
EventEGSR 2018: 29th Eurographics Symposium on Rendering - Karlsruhe Institute of Technology, Karlsruhe, Germany
Duration: 2 Jul 20184 Jul 2018
Conference number: 29


  • Diffraction
  • Real time rendering


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