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Propagation corresponds to a shear in the space-angle frequency domain, while reflection on curved objects performs a different shear along the angular frequency axis. As shown by previous work, reflection is a convolution in the primal and therefore a multiplication in the Fourier domain. Our work shows how the spatial components of lighting are affected by this angular convolution.Our framework predicts the characteristics of interactions such as caustics and the disappearance of the shadows of small features. Predictions on the frequency content can then be used to control sampling rates for rendering. Other potential applications include precomputed radiance transfer and inverse rendering.<\/jats:p>","DOI":"10.1145\/1073204.1073320","type":"journal-article","created":{"date-parts":[[2005,11,7]],"date-time":"2005-11-07T11:00:45Z","timestamp":1131361245000},"page":"1115-1126","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":150,"title":["A frequency analysis of light transport"],"prefix":"10.1145","volume":"24","author":[{"given":"Fr\u00e9do","family":"Durand","sequence":"first","affiliation":[{"name":"MIT-CSAIL"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nicolas","family":"Holzschuch","sequence":"additional","affiliation":[{"name":"ARTIS GRAVIR\/IMAG-INRIA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cyril","family":"Soler","sequence":"additional","affiliation":[{"name":"ARTIS GRAVIR\/IMAG-INRIA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Eric","family":"Chan","sequence":"additional","affiliation":[{"name":"MIT-CSAIL"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fran\u00e7ois X.","family":"Sillion","sequence":"additional","affiliation":[{"name":"ARTIS GRAVIR\/IMAG-INRIA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2005,7]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.5555\/2383533.2383578"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/192161.192250"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2003.1177153"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/166117.166141"},{"key":"e_1_2_2_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/218380.218497"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280924"},{"key":"e_1_2_2_7_1","volume-title":"Rendering Techniques '98 (Proc. of EG Workshop on Rendering '98)","author":"Camahort E.","unstructured":"Camahort , E. , Lerios , A. , and Fussell , D . 1998. 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