Semi-regular quadrilateral-only remeshing from simplified base domains

Computer Graphics Forum

Volumn 28, Issue 5, 2009, Pages 1427-1435

  Daniels II, Joel ^a   Silva, Claudio T ^a,b   Cohen, Elaine ^a  

^a Department of Electrical and Computer Engineering   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

Computational Geometry and Object Modeling Curve, surface, solid and object representations; I.3.5 Computer Graphics

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER GRAPHICS; GEOMETRY;

ADAPTIVE RESAMPLING; GEOMETRIC PROCESSING; HIERARCHICAL MAPPING; I.3.5 [COMPUTER GRAPHICS]; SOLID AND OBJECT REPRESENTATION; STRUCTURAL REGULARITY; SUBDIVISION SURFACES; SURFACE PARAMETERIZATION;

MAPPING;

EID: 70049088107     PISSN: 01677055     EISSN: 14678659     Source Type: Journal    
DOI: 10.1111/j.1467-8659.2009.01519.x     Document Type: Article

References (39)

1. Alliez P., Cohen-Steiner D., Devillers O., Lévy B., Desbrun M. : Anisotropic polygonal remeshing. In ACM SIGGRAPH (2003).
2. Ahn M., Guskov I., Lee S. : Out-of-core remeshing of large polygonal meshes. IEEE Transactions on Visualization and Computer Graphics 12, 5 (2006).
3. Borden M., Benzley S., Shepherd J. : Hexahedral sheet extraction. In 11th International Meshing Roundtable (September 2002).
4. Boier-Martin I., Rushmeier H., Jin J. : Parameterization of triangle meshes over quadrilateral domains. Symposium on Geometry Processing (2004).
5. Bremer P., Porumbescu S., Joy K., Hamann B. : Automatic semi-regular mesh construction from adaptive distance fields. Curve and Surface Fitting: Saint-Malo (2002).
6. Bommes D., Zimmer H., Kobbelt L. : Mixed-integer quadrangulation. ACM SIGGRAPH (2009).
7. Catmull E., Clark J. : Recursively generated b-spline surfaces on arbitrary topological meshes. Computer Aided Design 10, 6 (1978).
8. Dong S., Bremer P.-T., Garland M., Pascucci V., Hart J. C. : Spectral surface quadrangulation. In ACM SIGGRAPH (2006).
9. Dong S., Kircher S., Garland M. : Harmonic functions for quadrilateral remeshing of arbitrary manifolds. Computer Aided Geometric Design 22, 5 (2005).
10. Daniels J., Silva C., Shepherd J., Cohen E. : Quadrilateral mesh simplification. In ACM SIGGRAPH Asia (2008).
11. Garland M., Heckbert P. : Surface simplification using quadric error metrics. In ACM SIGGRAPH (1997).
12. Hoppe H. : New quadric metric for simplifying meshes with appearance attributes. In IEEE Visualization (1999).
13. Huang J., Zhang M., Ma J., Liu X., Kobbelt L., Bao H. : Spectral quadrangulation with orientation and alignment control. In ACM SIGGRAPH Asia (2008).
14. Jankovich S., Benzley S., Shepherd J., Mitchell S. : The graft tool: An all-hexahedral transition algorithm for creating a multi-directional swept volume mesh. In 8th International Meshing Roundtable (1999).
15. Kinney P. : Cleanup: Improving quadrilateral finite element meshes. In 6th International Meshing Roundtable (1997).
16. Krishnamurthy V., Levoy M. : Fitting smooth surface to dense polygon meshes. In ACM SIGGRAPH (1996).
17. Khodakovsky A., Litke N., Schroder P. : Globally smooth parameterizations with low distortion. ACM Transactions on Graphics 22, 3 (2003).
18. Kalberer F., Nieser M., Polthier K. : Quadcover: Surface parameterization using branched coverings. Computer Graphics Forum 26, 3 (2007).
19. Khodakovsky A., Schroder P., Sweldens W. : Progressive geometry compression. In ACM SIGGRAPH (2000).
20. Lee A. W., Dobkin D., Sweldens W., Schroder P. : Multiresolution mesh morphing. In ACM SIGGRAPH (1999).
21. Lai Y.-K., Kobbelt L., Hu S.-M. : An incremental approach to feature aligned quad dominant remeshing. In ACM Solid and Physical Modeling Symposium (2008).
22. Lee A., Sweldens W., Schroder P., Cowsar L., Dobkin D. : Maps: Multiresolution adaptive parameterization of surfaces. In ACM SIGGRAPH (1998).
23. Marinov M., Kobbelt L. : Direct anisotropic quad-dominant remeshing. In Pacific Graphics (October 2004).
24. Marinov M., Kobbelt L. : A robust two-step procedure for quad-dominant remeshing. Computer Graphics Forum 25, 3 (2006).
25. Ni X., Garland M., Hart J. C. : Fair morse functions for extracting the topological structure of a surface mesh. In ACM SIGGRAPH (2004).
26. Owen S., Staten M., Canann S., Saigal S. : Q-morph: An indirect approach to advancing front quad meshing. International Journal for Numerical Methods in Engineering (March 1999).
27. Praun E., Sweldens W., Schroder P. : Consistent mesh parameterization. In ACM SIGGRAPH (2001).
28. Peng J., Strela V., Zorin D. : A simple algorithm for surface denoising. In IEEE Visualization (2001).
29. Ray N., Li W. C., Levy B., Sheffer A., Alliez P. : Periodic global parameterization. ACM Transactions on Graphics 25, 4 (2006).
30. Schreiner J., Asirvatham A., Praun E., Hoppe H. : Inter-surface mapping. In ACM SIGGRAPH (2004).
31. Smith J., Boier-Martin I. : Combining metrics for mesh simplification and parameterization. In ACM SIGGRAPH Sketches (2005).
32. Staten M., Benzley S., Scott M. : A methodology for quadrilateral finite element mesh coarsening. Engineering with Computers (2008).
33. Staten M. L., Canann S. A. : Post refinement element shape improvement for quadrilateral meshes. ASME AMD: Trends in Unstructured Mesh Generation (1997).
34. Sharf A., Lewiner T., Shamir A., Kobbelt L., Cohen-Or D. : Competing fronts for coarse-to-fine surface reconstruction. Computer Graphics Forum 25, 3 (2006).
35. Tong Y., Alliez P., Cohen-Steiner D., Desbrun M. : Designing quadrangulations with discrete harmonic forms. In Symposium on Geometry Processing (2006).
36. Tarini M., Hormann K., Cignoni P., Montani C. : Polycube-maps. In ACM SIGGRAPH (2004).
37. Uccheddu F., Corsini M., Barni M. : Wavelet-based blind watermarking of 3d models. In International Multimedia Conference (2004).
38. Viswanath N., Shimada K., Itoh T. : Quadrilateral meshing with anisotropy and directionality control via close packing of rectangular cells. In 9th International Meshing Roundtable (2000).
39. Wang H., He Y., Li X., Gu X., Qin H. : Polycube splines. In ACM Solid and physical modeling (2007).