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We present an alternative representation, volume-encoded UV-maps, in which each point on the surface is mapped to a\n            <jats:italic>uv<\/jats:italic>\n            position which is solely a function of its 3D position. This function is tailored for a target surface: its restriction to the surface is a parametrization exhibiting high quality, e.g. in terms of angle and area preservation; and, near the surface, it is almost constant for small orthogonal displacements. The representation is applicable to a wide range of shapes and UV-maps, and unlocks several key advantages: it removes the need to duplicate vertices in the mesh to encode cuts in the map; it makes the UV-map representation independent from the meshing of the surface; the same texture, and even the same UV-map, can be shared by multiple geometrically similar models (e.g. all levels of a LoD pyramid); UV-maps can be applied to representations other than polygonal meshes, like point clouds or set of registered range-maps. Our schema is cheap on GPU computational and memory resources, requiring only a single, cache-coherent indirection to a small volumetric texture per fragment. We also provide an algorithm to construct a volume-encoded UV-map given a target surface.\n          <\/jats:p>","DOI":"10.1145\/2897824.2925898","type":"journal-article","created":{"date-parts":[[2016,7,11]],"date-time":"2016-07-11T16:04:33Z","timestamp":1468253073000},"page":"1-13","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":26,"title":["Volume-encoded UV-maps"],"prefix":"10.1145","volume":"35","author":[{"given":"Marco","family":"Tarini","sequence":"first","affiliation":[{"name":"Universit\u00e0 dell'Insubria, Varese"}]}],"member":"320","published-online":{"date-parts":[[2016,7,11]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/566654.566652"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01253.x"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.5555\/2383533.2383551"},{"key":"e_1_2_2_4_1","volume-title":"Proc., 1475--1484","author":"Chuang M.","unstructured":"Chuang , M. , Luo , L. , Brown , B. 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Hornus S. Neyret F. etal 2005. Octree textures on the gpu. GPU gems 2 595--613.  Lefebvre S. Hornus S. Neyret F. et al. 2005. Octree textures on the gpu. GPU gems 2 595--613."},{"key":"e_1_2_2_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/566654.566590"},{"key":"e_1_2_2_18_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218195904001470"},{"key":"e_1_2_2_19_1","unstructured":"Panetta J. Kazhdan M. and Zorin D. 2012. Volumetric basis reduction for global seamless parameterization of meshes. Tech. rep. New York University.  Panetta J. Kazhdan M. and Zorin D. 2012. Volumetric basis reduction for global seamless parameterization of meshes. Tech. rep. 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