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Graph."],"published-print":{"date-parts":[[2014,11,19]]},"abstract":"<jats:p>The most effective and popular tools for obtaining feature aligned quad meshes from triangular input meshes are based on cross field guided parametrization. These methods are incarnations of a conceptual three-step pipeline: (1) cross field computation, (2) field-guided surface parametrization, (3) quad mesh extraction. While in most meshing scenarios the user prescribes a desired target quad size or edge length, this information is typically taken into account from step 2 onwards only, but not in the cross field computation step. This turns into a problem in the presence of small scale geometric or topological features or noise in the input mesh: closely placed singularities are induced in the cross field, which are not properly reproducible by vertices in a quad mesh with the prescribed edge length, causing severe distortions or even failure of the meshing algorithm. We reformulate the construction of cross fields as well as field-guided parametrizations in a scale-aware manner which effectively suppresses densely spaced features and noise of geometric as well as topological kind. Dominant large-scale features are adequately preserved in the output by relying on the unaltered input mesh as the computational domain.<\/jats:p>","DOI":"10.1145\/2661229.2661240","type":"journal-article","created":{"date-parts":[[2014,11,18]],"date-time":"2014-11-18T14:21:03Z","timestamp":1416320463000},"page":"1-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":39,"title":["Level-of-detail quad meshing"],"prefix":"10.1145","volume":"33","author":[{"given":"Hans-Christian","family":"Ebke","sequence":"first","affiliation":[{"name":"RWTH Aachen University"}]},{"given":"Marcel","family":"Campen","sequence":"additional","affiliation":[{"name":"RWTH Aachen University"}]},{"given":"David","family":"Bommes","sequence":"additional","affiliation":[{"name":"RWTH Aachen Universityd and INRIA Sophia Antipolis"}]},{"given":"Leif","family":"Kobbelt","sequence":"additional","affiliation":[{"name":"RWTH Aachen University"}]}],"member":"320","published-online":{"date-parts":[[2014,11,19]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/2431211.2431214"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2008.01142.x"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/1095878.1095883"},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/1576246.1531383"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/2461912.2462014"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12014"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/2661229.2661236"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12401"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1145\/2185520.2185606"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1145\/777792.777839"},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8659.2010.01761.x"},{"key":"e_1_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/2461912.2461986"},{"key":"e_1_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1145\/311535.311576"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1111\/cgf.12426"},{"key":"e_1_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1145\/2508363.2508372"},{"key":"e_1_2_1_16_1","volume-title":"Visualization '97., Proceedings, 403--410","author":"El-Sana J.","unstructured":"El-Sana , J. , and Varshney , A . 1997. 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