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Graph."],"published-print":{"date-parts":[[2010,7,26]]},"abstract":"<jats:p>High-order and regularly sampled surface representations are more efficient and compact than general meshes and considerably simplify many geometric modeling and processing algorithms. A number of recent algorithms for conversion of arbitrary meshes to regularly sampled form (typically quadrangulation) aim to align the resulting mesh with feature lines of the geometry. While resulting in a substantial improvement in mesh quality, feature alignment makes it difficult to obtain coarse regular patch partitions of the mesh.<\/jats:p>\n          <jats:p>In this paper, we propose an approach to constructing patch layouts consisting of small numbers of quadrilateral patches while maintaining good feature alignment. To achieve this, we use quadrilateral T-meshes, for which the intersection of two faces may not be the whole edge or vertex, but a part of an edge. T-meshes offer more flexibility for reduction of the number of patches and vertices in a base domain while maintaining alignment with geometric features. At the same time, T-meshes retain many desirable features of quadrangulations, allowing construction of high-order representations, easy packing of regularly sampled geometric data into textures, as well as supporting different types of discretizations for physical simulation.<\/jats:p>","DOI":"10.1145\/1778765.1778854","type":"journal-article","created":{"date-parts":[[2010,7,15]],"date-time":"2010-07-15T12:48:46Z","timestamp":1279198126000},"page":"1-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":56,"title":["Feature-aligned T-meshes"],"prefix":"10.1145","volume":"29","author":[{"given":"Ashish","family":"Myles","sequence":"first","affiliation":[{"name":"New York University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nico","family":"Pietroni","sequence":"additional","affiliation":[{"name":"ISTI, Italian National Research Council"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Denis","family":"Kovacs","sequence":"additional","affiliation":[{"name":"New York University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Denis","family":"Zorin","sequence":"additional","affiliation":[{"name":"New York University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2010,7,26]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"crossref","unstructured":"Bazilevs Y. 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