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We are now able to re-enact the complicated interplay between light and microscopic surface features\u2014scratches, bumps and other imperfections\u2014in a visually convincing fashion. However, diffractive patterns arise even when no explicitly defined features are present: Any random surface will act as a diffracting aperture and its statistics heavily influence the statistics of the diffracted wave fields. Nonetheless, the problem of rendering diffraction effects induced by surfaces that are defined purely statistically remains wholly unexplored. We present a thorough derivation, from core optical principles, of the intensity of the scattered fields that arise when a natural, partially coherent light source illuminates a random surface. We follow with a probability theory analysis of the statistics of those fields and present our rendering algorithm. All of our derivations are formally proven and verified numerically as well. Our method is the first to render diffraction effects produced by a surface described statistically only, and bridges the theoretical gap between contemporary surface modelling and rendering.<\/jats:p>","DOI":"10.1145\/3472293","type":"journal-article","created":{"date-parts":[[2022,2,9]],"date-time":"2022-02-09T09:37:48Z","timestamp":1644399468000},"page":"1-23","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":18,"title":["Rendering of Subjective Speckle Formed by Rough Statistical Surfaces"],"prefix":"10.1145","volume":"41","author":[{"given":"Shlomi","family":"Steinberg","sequence":"first","affiliation":[{"name":"University of California, Santa Barbara, California"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ling-Qi","family":"Yan","sequence":"additional","affiliation":[{"name":"University of California, Santa Barbara, California"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2022,2,9]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.5555\/1098650"},{"key":"e_1_2_1_2_1","volume-title":"Mesoscopic Physics of Electrons and Photons","author":"Akkermans E.","unstructured":"E. 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