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Specifically, appearances that can be indirectly seen over reflective surfaces have not attracted much attention. In this paper, we present a real\u2010time rendering technique for such indirect views that involves the participating media. To achieve real\u2010time performance for computing indirect views, we leverage layered polygonal area lights (LPALs) that can be obtained by slicing the media into multiple flat layers. Using this representation, radiance entering each surface point from each slice of the volume is analytically evaluated to achieve instant calculation. The analytic solution can be derived for standard bidirectional reflectance distribution functions (BRDFs) based on the microfacet theory. Accordingly, our method is sufficiently robust to work on surfaces with arbitrary shapes and roughness values. In addition, we propose a quadrature method for more accurate rendering of scenes with dense volumes, and a transformation of the domain of volumes to simplify the calculation and implementation of the proposed method. By taking advantage of these computation techniques, the proposed method achieves real\u2010time rendering of indirect illumination for emissive volumes.<\/jats:p>","DOI":"10.1111\/cgf.13851","type":"journal-article","created":{"date-parts":[[2019,11,14]],"date-time":"2019-11-14T11:07:58Z","timestamp":1573729678000},"page":"449-460","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Real\u2010time Indirect Illumination of Emissive Inhomogeneous Volumes using Layered Polygonal Area Lights"],"prefix":"10.1111","volume":"38","author":[{"given":"Takahiro","family":"Kuge","sequence":"first","affiliation":[{"name":"Waseda University"}]},{"given":"Tatsuya","family":"Yatagawa","sequence":"additional","affiliation":[{"name":"The University of Tokyo"}]},{"given":"Shigeo","family":"Morishima","sequence":"additional","affiliation":[{"name":"Waseda University"},{"name":"Waseda Research Institute for Science and Engineering"}]}],"member":"311","published-online":{"date-parts":[[2019,11,14]]},"reference":[{"key":"e_1_2_7_2_2","doi-asserted-by":"crossref","unstructured":"Akenine-Moeller Tomas Haines Eric andHoffman Naty. \u201cReal-Time Rendering\u201d. 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