User menu

Optimal parametrizations for surface remeshing

Bibliographic reference Marchandise, Emilie ; Remacle, Jean-François ; Geuzaine, Christophe. Optimal parametrizations for surface remeshing. In: Engineering with Computers : an international journal of simulation-based engineering, Vol. 30, no.3, p. 383-402 (2012)
Permanent URL
  1. Alliez P, Meyer M, Desbrun M (2002) Interactive geometry remeshing. In: Computer graphics (Proceedings of the SIGGRAPH 02), pp 347–354
  2. Batdorf Michael, Freitag Lori, Ollivier-Gooch Carl, Batdorf Michael, Freitag Lori, Ollivier-Gooch Carl, Computational study of the effect of unstructured mesh quality on solution efficiency, 10.2514/6.1997-1888
  3. Béchet E., Cuilliere J.-C., Trochu F., Generation of a finite element MESH from stereolithography (STL) files, 10.1016/s0010-4485(00)00146-9
  4. Ben-Chen Mirela, Gotsman Craig, Bunin Guy, Conformal Flattening by Curvature Prescription and Metric Scaling, 10.1111/j.1467-8659.2008.01142.x
  5. Bennis C, Vézien J-M, Iglésias G (1991) Piecewise surface flattening for non-distorted texture mapping. In: ACM SIGGRAPH computer graphics, pp 237–246
  6. Borouchaki Houman, Laug Patrick, George Paul-Louis, Parametric surface meshing using a combined advancing-front generalized Delaunay approach, 10.1002/1097-0207(20000910/20)49:1/2<233::aid-nme931>;2-g
  7. Choquet C (1945) Sur un type de représentation analytique généralisant la représentation conforme et défininie au moyen de fonctions harmoniques. Bull Sci Math 69:156–165
  8. Eck M, DeRose T, Duchamp T, Hoppe H, Lounsbery M, Stuetzle W (1995) Multiresolution analysis of arbitrary meshes. In: SIGGRAPH ’95: Proceedings of the 22nd annual conference on Computer graphics and interactive techniques, pp 173–182
  9. Floater Michael S., Parametrization and smooth approximation of surface triangulations, 10.1016/s0167-8396(96)00031-3
  11. Floater Michael S., Mean value coordinates, 10.1016/s0167-8396(03)00002-5
  12. Floater Michael S., One-to-one piecewise linear mappings over triangulations, 10.1090/s0025-5718-02-01466-7
  13. Floater MS, Hormann K (2005) Surface parameterization: a tutorial and survey. Advances in multiresolution for geometric modelling
  14. George P-L, Frey P (2000) Mesh Generation. Hermes
  15. Geuzaine Christophe, Remacle Jean-François, Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, 10.1002/nme.2579
  16. Greiner G, Hormann K (1996) Interpolating and approximating scattered 3D data with hierarchical tensor product splines. In: Surface fitting and multiresolution methods, pp 163–172
  17. Hecht F (2006) Bamg: bidimensional anisotropic mesh generator.
  18. Hernandez Vicente, Roman Jose E., Vidal Vicente, SLEPc : A scalable and flexible toolkit for the solution of eigenvalue problems, 10.1145/1089014.1089019
  19. Hormann K, Greiner G (2000) Mips: an efficient global. Parametrization method. In: Curve and surface design. Vanderbilt University Press
  20. Ito Yasushi, Nakahashi Kazuhiro, Direct Surface Triangulation Using Stereolithography Data, 10.2514/2.1672
  21. Laug P., Borouchaki H., Interpolating and meshing 3D surface grids, 10.1002/nme.770
  22. Lehoucq RB, Sorensen DC, Yang C (1997) Arpack users guide: solution of large scale eigenvalue problems by implicitly restarted Arnoldi methods. Society for Industrial and Applied Mathematics
  23. Levy B, Petitjean S, Ray N, Maillot J (2002) Least squares conformal maps for automatic texture atlas generation. In: Computer graphics (Proceedings of SIGGRAPH 02), pp 362–371
  24. Attene Marco, Falcidieno Bianca, Spagnuolo Michela, Wyvill Geoff, A mapping-independent primitive for the triangulation of parametric surfaces, 10.1016/s1524-0703(03)00048-1
  25. Maillot J, Yahia H, Verroust A (1993) Interactive texture mapping. In: Proceedings of ACM SIGGRAPH’93, pp 27–34
  26. Marchandise E., de Wiart C. Carton, Vos W. G., Geuzaine C., Remacle J.-F., High-quality surface remeshing using harmonic maps-Part II: Surfaces with high genus and of large aspect ratio, 10.1002/nme.3099
  27. Marchandise E, Crosetto P, Geuzaine C, Remacle JF, Sauvage E (2011) Quality open source mesh generation for cardiovascular flow simulations. Modelling physiological flows. Springer series on modeling, simulation and applications. Springer, Berlin-Heidelberg
  28. Marchandise E, Compère G, Willemet M, Bricteux G, Geuzaine C, Remacle J-F (2010) Quality meshing based on stl triangulations for biomedical simulations. International Journal for Numerical Methods in Biomedical Engineering 83:876–889
  29. Marcum D. L., Efficient Generation of High-Quality Unstructured Surface and Volume Grids, 10.1007/pl00013386
  30. Marcum DL, Gaither A (1999) Unstructured surface grid generation using global mapping and physical space approximation. In: Proceedings of 8th international meshing roundtable, pp 397–406
  31. Mullen P, Tong Y, Alliez P, Desbrun M (2008) Spectral conformal parameterization. In: ACM/EG symposium of geometry processing
  32. Rado T (1926) Aufgabe 41. Math-Verien
  33. Rebay S., Efficient Unstructured Mesh Generation by Means of Delaunay Triangulation and Bowyer-Watson Algorithm, 10.1006/jcph.1993.1097
  34. Remacle J-F, Geuzaine C, Compère G, Marchandise E (2010) High quality surface meshing using harmonic maps. Int J Numer Meth Eng 83:403–425
  35. Remacle J-F, Henrotte F, Carrier-Baudouin T, Bechet E, Geuzaine C, Mouton T (2011) A frontal Delaunay quad mesh generator using the l norm. Int J Numer Meth Eng 86:1303–1321
  36. Remacle J.-F., Lambrechts J., Seny B., Marchandise E., Johnen A.,  Geuzainet C., Blossom-Quad: A non-uniform quadrilateral mesh generator using a minimum-cost perfect-matching algorithm : QUADRILATERAL MESH GENERATOR USING PERFECT MATCHING, 10.1002/nme.3279
  37. Rusinkiewicz S (2004) Estimating curvatures and their derivatives on triangle meshes. In: Symposium on 3D data processing, visualization, and transmission, September 2004
  38. Sheffer A., de Sturler E., Parameterization of Faceted Surfaces for Meshing using Angle-Based Flattening, 10.1007/pl00013391
  39. Sheffer Alla, Praun Emil, Rose Kenneth, Mesh Parameterization Methods and Their Applications, 10.1561/0600000011
  40. Sheffer Alla, Lévy Bruno, Mogilnitsky Maxim, Bogomyakov Alexander, ABF++: fast and robust angle based flattening, 10.1145/1061347.1061354
  41. Szczerba Dominik, McGregor Robert, Székely Gábor, High Quality Surface Mesh Generation for Multi-physics Bio-medical Simulations, Computational Science – ICCS 2007 (2007) ISBN:9783540725831 p.906-913, 10.1007/978-3-540-72584-8_119
  42. Tristano JR, Owen SJ, Canann SA (1998) Advancing front surface mesh generation in parametric space using Riemannian surface definition. In: Proceedings of 7th international meshing roundtable. Sandia National Laboratory, pp 429–455
  43. Tutte W. T., How to Draw a Graph, 10.1112/plms/s3-13.1.743
  44. Wang Desheng, Hassan Oubay, Morgan Kenneth, Weatherill Nigel, Enhanced remeshing from STL files with applications to surface grid generation, 10.1002/cnm.894
  45. Zayer R, Lévy B, Seidel H-P (2007) Linear angle based parameterization. In: Proceedings of ACM/EG symposium on geometry processing conference
  46. Zheng Y., Weatherill N.P., Hassan O., Topology Abstraction of Surface Models for Three-Dimensional Grid Generation, 10.1007/s003660170021
  47. Zigelman G., Kimmel R., Kiryati N., Texture mapping using surface flattening via multidimensional scaling, 10.1109/2945.998671
  48. Frey Pascal Jean, George Paul-Louis, Mesh Generation, ISBN:9780470611166, 10.1002/9780470611166