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A variety of methods have been proposed that enable the efficient querying of model repositories for a desired 3D shape. Many of these methods use a 3D model as a query and attempt to retrieve models from the database that have a similar shape.In this paper we consider the implications of anisotropy on the shape matching paradigm. In particular, we propose a novel method for matching 3D models that factors the shape matching equation as the disjoint outer product of anisotropy and geometric comparisons. We provide a general method for computing the factored similarity metric and show how this approach can be applied to improve the matching performance of many existing shape matching methods.<\/jats:p>","DOI":"10.1145\/1015706.1015770","type":"journal-article","created":{"date-parts":[[2004,10,7]],"date-time":"2004-10-07T17:38:56Z","timestamp":1097170736000},"page":"623-629","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":39,"title":["Shape matching and anisotropy"],"prefix":"10.1145","volume":"23","author":[{"given":"Michael","family":"Kazhdan","sequence":"first","affiliation":[{"name":"Princeton University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Funkhouser","sequence":"additional","affiliation":[{"name":"Princeton University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Szymon","family":"Rusinkiewicz","sequence":"additional","affiliation":[{"name":"Princeton University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2004,8]]},"reference":[{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.5555\/647226.719092"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/34.121791"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(95)00039-G"},{"key":"e_1_2_2_5_1","unstructured":"CCCC. http:\/\/merkur01.inf.uni-konstanz.de\/.]]"},{"key":"e_1_2_2_6_1","doi-asserted-by":"publisher","unstructured":"FUNKHOUSER T. 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