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In this article, we present an automatic parameterization method for segmenting a surface into patches that are then flattened with little stretch.<\/jats:p><jats:p>Many objects consist of regions of relatively simple shapes, each of which has a natural parameterization. Based on this observation, we describe a three-stage feature-based patch creation method for manifold surfaces. The first two stages, genus reduction and feature identification, are performed with the help of distance-based surface functions. In the last stage, we create one or two patches for each feature region based on a covariance matrix of the feature's surface points.<\/jats:p><jats:p>To reduce stretch during patch unfolding, we notice that stretch is a 2 \u00d7 2 tensor, which in ideal situations is the identity. Therefore, we use the &lt;i&gt;Green-Lagrange tensor&lt;\/i&gt; to measure and to guide the optimization process. Furthermore, we allow the boundary vertices of a patch to be optimized by adding &lt;i&gt;scaffold triangles&lt;\/i&gt;. We demonstrate our feature-based patch creation and patch unfolding methods for several textured models.<\/jats:p><jats:p>Finally, to evaluate the quality of a given parameterization, we describe an image-based error measure that takes into account stretch, seams, smoothness, packing efficiency, and surface visibility.<\/jats:p>","DOI":"10.1145\/1037957.1037958","type":"journal-article","created":{"date-parts":[[2005,1,26]],"date-time":"2005-01-26T16:35:53Z","timestamp":1106757353000},"page":"1-27","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":221,"title":["Feature-based surface parameterization and texture mapping"],"prefix":"10.1145","volume":"24","author":[{"given":"Eugene","family":"Zhang","sequence":"first","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, GA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Konstantin","family":"Mischaikow","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, GA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Greg","family":"Turk","sequence":"additional","affiliation":[{"name":"Georgia Institute of Technology, Atlanta, GA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2005,1]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"crossref","unstructured":"Alliez P. 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