A multistep approach to restoration of locally undersampled meshes

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4975 LNCS, Issue , 2008, Pages 272-289

  Bac, Alexandra ^a   Tran, Nam Van ^a   Daniel, Marc ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Holes; Meshes; Multistep; Resampling; Surface fairing; Thin plate energy

Indexed keywords

GEOMETRY; RESTORATION;

HOLES; MESHES; MULTI-STEP; RESAMPLING; THIN PLATE;

ITERATIVE METHODS;

EID: 70349336854     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-79246-8_21     Document Type: Conference Paper

References (29)

1. Brandel, S., Schneider, S., Guiard, N., Rainaud, J.F., Perrin, M.: Automatic building of structured geological models. Computing, Information Science and Engineering 5(2), 138-148 (2005)
2. Hjelle, O.: A triangulation template library (ttl): Generic design of triangulation software. Technical Report STF42 A00015, SINTEF (November 2000)
3. Hjelle, O.: Approximation of scattered data with multilevel b-splines. Technical Report STF42 A01011, SINTEF (November 2001)
4. Carr, J.C., Fright, W.R., Beatson, R.K.: Surface interpolation with radial basis functions for medical imaging. IEEE Transactions on Medical Imaging 16(1), 96-107 (1997)
5. Manuel, J.W., Oliveira, M.: Filling holes on locally smooth surfaces reconstructed from point clouds. Image and Vision Computing 25, 103-113 (2007)
6. Tekumalla, L.S., Cohen, E.: A hole-filling algorithm for triangular mesh. Uucs-04-019, University of Utah. (2004)
7. Davis, J., Marschner, S.R., Garr, M., Levoy, M.: Filling holes in complex surface using volumetric diffusion. In: Proceedings of the First international Symposium on 3D Data Processing, Visualization, Transmission, pp. 428-438 (2002)
8. Ju, T.: Robust repair of polygonal models. In: ACM SIGGRAPH, vol. 23(3) (2004)
9. Ju, T., Losasso, F., Schaffer, S., Warren, J.: Dual contouring of hermite data. ACM transactions on Graphics 21(3), 339-346 (2002)
10. Esteve, J., Brunet, P.A.V.: Approximation of variable density cloud of points by shrinking a discrete membrane. Computer Graphics Forum 24(4), 791-808 (2005)
11. Hornung, A.L.K.: Robust reconstruction of watertight 3d models from nonuniformly sampled clouds without normal information. In: Eurographics Symposium on Geometry Processing, pp. 41-50 (2006)
12. Liepa, P.: Filling holes in meshes. In: Eurographics Symposium on Geometry Processing, pp. 200-205 (2003)
13. Kobbelt, L., Campagna, S., Vorsatz, J., Seidel, H.: Interactive multi-resolution modeling on arbitray meshes. In: Computer Graphics (SIGGRAPH 1998 Proceedings), pp. 105-114 (1998)
14. Pernot, J.P., Verron, P.: Filling holes in meshes using a mechanical model to simulate the curvature variation minimization. Computer and Graphics 30(6) (2006)
15. Schneider, R., Kobbelt, L.: Geometric fairing of irregular meshes for free-form surface design. Computer Aided Geometric Design 18, 359-379 (2001)
16. Nealen, A., Igarashi, T., Sorkine, O., Alexa, M.: Fibermesh: designing freeform surfaces with 3d curves. ACM Trans. Graph - Siggraph 26(3), 41 (2007)
17. Xu, G., Pan, Q.: Discrete surface modeling using partial differential equations. CAGD 23, 125-145 (2006)
18. Clarenz, U., Diewald, U., Dziuk, G., Rumpf, M., Rusu, R.: A finite element method for surface restoration with smooth boundary conditions. CAGD 21(5), 427-445 (2004)
19. Bobenko, A., Schröder, P.: Discrete willmore flow. In: Eurographics Symposium on Geometric Processing (2005)
20. Yoshizawa, S., Belyaev, A., Seidel, H.P.: Fast and robust detection of crest lines on meshes. Technical report, ACM Symposium on Solid and Physical Modeling (2005)
21. Pfeifle, R., Seidel, H.P.: Triangular b-splines for blending and filling of polygonal holes. In: Graphics Interface, pp. 186-193 (1996)
22. Frey, P.J., Borouchaki, H.: Surface mesh quality evaluation. International Journal for Numerical Methods in Engineering 45(45), 101-108 (1999)
23. Dyn, N., Hormann, K., Kim, S., Levin, D.: Optimizing 3d triangulations using discrete curvature analysis. In: Mathematical Methods for Curves and Surfaces, Oslo, pp. 135-146 (2000)
24. Greiner, G.: Variational design and fairing of spline surfaces. Computer Graphics Forum 13(3), 143-154 (1994)
25. Desbrun, M., Meyer, M., Schroder, P.: Implicit fairing of irregular meshes using diffusion and curvature flow. In: Computer Graphics Proceedings, Annual Conference Series, (August 1999), vol. 7, pp. 317-324 (1999)
26. Meyer, M., Desbrun, M., Schroder, P., Barr, H.: Discrete differential-geometry operators for triangulated 2-manifolds. In: Proceedings VisMath 2002, Berlin (2002)
27. Rienen, U.V.: Numerical methods in computational electrodynamics. linear systems in practical application. Lecture Notes in Computational Science and Engineering 12 (2001)
28. Desbrun, M., Mayer, M., Alliez, P.: Intrinsic parameterizations of surface meshes. In: Computer Graphics Forum (Proceedings of Eurographics 2002), vol. 21(3), pp. 209-218 (2002)
29. Aspert, N., Santa-Cruz, D., Ebrahimi, T.: Mesh: Measuring errors between surfaces using the hausdorff distance. In: Proceedings of the IEEE International Conference on Multimedia and Expo, vol. 1, pp. 705-708 (2002)