Topology-driven shape chartification

Computer Aided Geometric Design - Tập 65 - Trang 13-28 - 2018
Tommaso Sorgente1, Silvia Biasotti1, Marco Livesu1, Michela Spagnuolo1
1Istituto di Matematica Applicata e Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Genova, Italy

Tài liệu tham khảo

Azencot, 2017, Consistent functional cross field design for mesh quadrangulation, ACM Trans. Graph., 36, 10.1145/3072959.3073696 Bærentzen, 2014, Interactive shape modeling using a skeleton-mesh co-representation, ACM Trans. Graph., 33, 10.1145/2601097.2601226 Biasotti, 2000, 185 Biasotti, 2008, Describing shapes by geometrical–topological properties of real functions, ACM Comput. Surv., 40, 1, 10.1145/1391729.1391731 Biasotti, 2008, Reeb graphs for shape analysis and applications, Theor. Comput. Sci., 392, 5, 10.1016/j.tcs.2007.10.018 Biasotti, 2010, Shape approximation by differential properties of scalar functions, Comput. Graph., 34, 252, 10.1016/j.cag.2010.03.013 Bommes, 2008, Quadrangular parameterization for reverse engineering, 55 Bommes, 2013, Quad-mesh generation and processing: a survey, Comput. Graph. Forum, 32, 51, 10.1111/cgf.12014 Branch, 2007, Fitting surface of free form objects using optimized NURBS patches network with evolutionary strategies (mu + lambda) - es Buchegger, 2017, Planar multi-patch domain parameterization via patch adjacency graphs, Comput. Aided Des., 82, 2, 10.1016/j.cad.2016.05.019 Campen, 2017, Similarity maps and field-guided t-splines: a perfect couple, ACM Trans. Graph., 36, 10.1145/3072959.3073647 Cherchi, 2016, Polycube simplification for coarse layouts of surfaces and volumes, Comput. Graph. Forum, 35, 11, 10.1111/cgf.12959 Choe, 2009, Random accessible mesh compression using mesh chartification, IEEE Trans. Vis. Comput. Graph., 15, 160, 10.1109/TVCG.2008.64 Cohen-Steiner, 2003, Restricted Delaunay triangulations and normal cycle, 312 Cohen-Steiner, 2004, Variational shape approximation, 905 Cole-McLaughlin, 2003, Loops in Reeb graphs of 2-manifolds, 344 Daniels, 2009, Semi-regular quadrilateral-only remeshing from simplified base domains, Comput. Graph. Forum, 28, 1427, 10.1111/j.1467-8659.2009.01519.x do Goes, 2015, Vector field processing on triangle meshes, 17 Dong, 2005, Harmonic functions for quadrilateral remeshing of arbitrary manifolds, Comput. Aided Geom. Des., 22, 392, 10.1016/j.cagd.2005.04.004 Dong, 2006, Spectral surface quadrangulation, ACM Trans. Graph., 25, 1057, 10.1145/1141911.1141993 Favreau, 2011, Tiling surfaces with cylinders using n-loops, Computers & Graphics, 35, 35, 10.1016/j.cag.2010.11.001 Guennebaud Hu, 2016, Centroidal Voronoi tessellation based polycube construction for adaptive all-hexahedral mesh generation, Comput. Methods Appl. Mech. Eng., 305, 405, 10.1016/j.cma.2016.03.021 Hu, 2017, Surface segmentation for polycube construction based on generalized centroidal Voronoi tessellation, Comput. Methods Appl. Mech. Eng., 316, 280, 10.1016/j.cma.2016.07.005 Huang, 2008, Spectral quadrangulation with orientation and alignment control, ACM Trans. Graph., 27, 1, 10.1145/1409060.1409100 Julius, 2005, Quasi-developable mesh segmentation, Comput. Graph. Forum, 24, 581, 10.1111/j.1467-8659.2005.00883.x Ling, 2014, Spectral quadrangulation with feature curve alignment and element size control, ACM Trans. Graph., 34, 11, 10.1145/2653476 Liu, 2015, Feature-preserving t-mesh construction using skeleton-based polycubes, Comput. Aided Des., 58, 162, 10.1016/j.cad.2014.08.020 Livesu Livesu, 2018, A heat flow relaxation scheme for n dimensional discrete hyper surfaces, Comput. Graph., 71, 124, 10.1016/j.cag.2018.01.004 Livesu, 2013, Extracting curve-skeletons from digital shapes using occluding contours, Vis. Comput., 29, 907, 10.1007/s00371-013-0855-8 Livesu, 2016, Skeleton-driven adaptive hexahedral meshing of tubular shapes, Comput. Graph. Forum, 35, 237, 10.1111/cgf.13021 Lu, 2011, Quading triangular meshes with certain topological constraints, J. Comput. Appl. Math., 236, 916, 10.1016/j.cam.2011.05.009 Marcias, 2015, Data-driven interactive quadrangulation, ACM Trans. Graph., 34, 65, 10.1145/2766964 Meyer, 2003, Discrete differential-geometry operators for triangulated 2-manifolds, 35, 10.1007/978-3-662-05105-4_2 Myles, 2010, Feature-aligned t-meshes, ACM Trans. Graph., 29, 117, 10.1145/1778765.1778854 Palis, 1982 Pascucci, 2007, Robust on-line computation of Reeb graphs: simplicity and speed, ACM Trans. Graph., 26, 58, 10.1145/1276377.1276449 Patanè, 2004, Para-graph: graph-based parameterization of triangle meshes with arbitrary genus, Comput. Graph. Forum, 23, 783, 10.1111/j.1467-8659.2004.00808.x Pietroni, 2010, Almost isometric mesh parameterization through abstract domains, IEEE Trans. Vis. Comput. Graph., 16, 621, 10.1109/TVCG.2009.96 Purnomo, 2004, Seamless texture atlases, 65 Reeb, 1946, Sur les points singulièrs d'une forme de Pfaff complètement intégrable ou d'une fonction numèrique, C. R. Hebd. Séances Acad. Sci., 222, 847 Ryan, 2017, Toward a paver replacement Shamir, 2008, A survey on mesh segmentation techniques, Comput. Graph. Forum, 37, 1539, 10.1111/j.1467-8659.2007.01103.x Takayama, 2013, Sketch-based generation and editing of quad meshes, ACM Trans. Graph., 32, 10.1145/2461912.2461955 Takayama, 2014, Pattern-based quadrangulation for N-sided patches, vol. 33(5), 177 Tarini, 2011, Simple quad domains for field aligned mesh parametrization, ACM Trans. Graph., 30, 142, 10.1145/2070781.2024176 Tierny, 2012, Interactive quadrangulation with Reeb atlases and connectivity textures, IEEE Trans. Vis. Comput. Graph., 18, 1650, 10.1109/TVCG.2011.270 Tong, 2006, Designing quadrangulations with discrete harmonic forms, 201 Usai, 2015, Extraction of the quad layout of a triangle mesh guided by its curve skeleton, ACM Trans. Graph., 35, 10.1145/2809785 Xiao, 2018, Computing IGA-suitable planar parameterizations by PolySquare-enhanced domain partition, Comput. Aided Geom. Des., 62, 29, 10.1016/j.cagd.2018.03.008 Zhang, 2005, Feature-based surface parameterization and texture mapping, ACM Trans. Graph., 24, 1, 10.1145/1037957.1037958 Zhang, 2010, A wave-based anisotropic quadrangulation method, ACM Trans. Graph., 29, 10.1145/1778765.1778855