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Graph."],"published-print":{"date-parts":[[2014,11,19]]},"abstract":"<jats:p>We consider the problem of reproducing the look and the details of a 3D object on a surface that is confined to a given volume. Classic examples of such \"appearance-mimicking\" surfaces are bas-reliefs: decorations and artwork depicting recognizable 3D scenes using only a thin volumetric space. The design of bas-reliefs has fascinated humankind for millennia and it is extensively used on coins, medals, pottery and other art forms. We propose a unified framework to create surfaces that depict certain shapes from prescribed viewpoints, as a generalization of bas-reliefs. Given target shapes, viewpoints and space restrictions, our method finds a globally optimal surface that delivers the desired appearance when observed from the designated viewpoints, while guaranteeing exact, per-vertex depth bounds. We use 3D printing to validate our approach and demonstrate our results in a variety of applications, ranging from standard bas-reliefs to optical illusions and carving of complex geometries.<\/jats:p>","DOI":"10.1145\/2661229.2661267","type":"journal-article","created":{"date-parts":[[2014,11,18]],"date-time":"2014-11-18T14:21:03Z","timestamp":1416320463000},"page":"1-10","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":59,"title":["Appearance-mimicking surfaces"],"prefix":"10.1145","volume":"33","author":[{"given":"Christian","family":"Sch\u00fcller","sequence":"first","affiliation":[{"name":"ETH Zurich"}]},{"given":"Daniele","family":"Panozzo","sequence":"additional","affiliation":[{"name":"ETH Zurich"}]},{"given":"Olga","family":"Sorkine-Hornung","sequence":"additional","affiliation":[{"name":"ETH Zurich"}]}],"member":"320","published-online":{"date-parts":[[2014,11,19]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1778765.1778797"},{"key":"e_1_2_2_2_1","doi-asserted-by":"crossref","unstructured":"Andersen E. D. and Andersen K. D. 2000. The mosek interior point optimizer for linear programming: an implementation of the homogeneous algorithm. In High Performance Optimization. Kluwer Academic Publishers 197--232. http:\/\/www.mosek.com.  Andersen E. D. and Andersen K. D. 2000. The mosek interior point optimizer for linear programming: an implementation of the homogeneous algorithm. In High Performance Optimization . 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