{"title":"The rendering equation","authors":"J. Kajiya","doi":"10.1145/280811.280987","DOIUrl":null,"url":null,"abstract":"We present an integral equation which generalizes a variety of known rendering algorithms. In the course of discussing a monte carlo solution we also present a new form of variance reduction, called Hierarchical sampling and give a number of elaborations shows that it may be an efficient new technique for a wide variety of monte carlo procedures. The resulting rendering algorithm extends the range of optical phenomena which can be effectively simulated.","PeriodicalId":236803,"journal":{"name":"Seminal graphics: pioneering efforts that shaped the field","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"454","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Seminal graphics: pioneering efforts that shaped the field","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/280811.280987","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 454
Abstract
We present an integral equation which generalizes a variety of known rendering algorithms. In the course of discussing a monte carlo solution we also present a new form of variance reduction, called Hierarchical sampling and give a number of elaborations shows that it may be an efficient new technique for a wide variety of monte carlo procedures. The resulting rendering algorithm extends the range of optical phenomena which can be effectively simulated.
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