2011
DOI: 10.1145/2070781.2024176
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Simple quad domains for field aligned mesh parametrization

Abstract: Figure 1: (Left) An input mesh of quads induces a cross field with an entangled graph of separatrices defining almost eight thousand domains; (center) the graph is disentangled with small distortion from the input field to obtain just twenty parametrization domains; (right) parametrization is smoothed to make it conformal; an example of remeshing from the parametrization.

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Cited by 75 publications
(30 citation statements)
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References 29 publications
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“…Cignoni et al [2014] extended this concept and placed the elements driven by a feature-aligned input cross-field [Ray et al 2009;Bommes et al 2009], a mathematical entity that catches the overall structure and curvature of the object. Inspired by this concept, we compute potential candidates for cuts along smooth polylines that emerge from a field-aligned patch layout decomposition of the initial mesh [Tarini et al 2011;Campen et al 2012;Myles et al 2014;Razafindrazaka et al 2015].…”
Section: Shape Decomposition and Approximation For Fabricationmentioning
confidence: 99%
“…Cignoni et al [2014] extended this concept and placed the elements driven by a feature-aligned input cross-field [Ray et al 2009;Bommes et al 2009], a mathematical entity that catches the overall structure and curvature of the object. Inspired by this concept, we compute potential candidates for cuts along smooth polylines that emerge from a field-aligned patch layout decomposition of the initial mesh [Tarini et al 2011;Campen et al 2012;Myles et al 2014;Razafindrazaka et al 2015].…”
Section: Shape Decomposition and Approximation For Fabricationmentioning
confidence: 99%
“…İkincisi ise geometrik modeli B-spline yüzeyler ile ifade etmektir. Son 10 yılda önerilen ve kaliteli dörtgen ağ modelleri üreten algoritmalardan [7][8][9][10][11][12][13][14] dolayı B-spline yüzeylerin elde edilmesinde dörtgen ağ model kullanımı tavsiye edilmektedir. Dörtgen ağ modeli elemanları (yüz ve kenarları) model üzerinde maksimum ve minimum eğrilme yönleri gibi modelin lokal özelliklerini daha fazla yansıtmaktadır.…”
Section: şEkil 1 üç Boyutlu Geometrik Modelin Oluşturulmasıunclassified
“…Dörtgen ağ kullanıldığı taktirde üçgen ağ modelini dörtgen ağ modeline çevirecek metodlar kullanılmalıdır. Son yıllarda bunun için çalışmalar [7][8][9][10][11][12][13][14] …”
Section: Geometrik Primitif-tabanlı Geometrik Model Oluşturmaunclassified
“…In recent years, various methods have achieved success in providing high quality controllable quadrangulation from polycubes, even extracting rather coarse quad structure by heuristic quadrilateral simplification [Myles et al 2010;Tarini et al 2011] or greedy dual loop selection [Campen et al 2012]. Unlike quadrangulation, hexahedral remeshing remains challenging.…”
Section: Related Workmentioning
confidence: 99%