Finite Elements on Point Based Surfaces

1st Symposium on Point Based Graphics, PBG 2004

Volumn , Issue , 2004, Pages 201-211

  Clarenz, U ^a   Rumpf, M ^a   Telea, A ^b  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

INTERACTIVE COMPUTER GRAPHICS; ITERATIVE METHODS; LINEAR SYSTEMS; STABILITY; VISUALIZATION;

EQUATION BASED; LOCAL COUPLING; LOCAL DELAUNAY TRIANGULATION; POINT-BASED SURFACES; PROCESSING POINTS; PROCESSING TECHNIQUE; SCALING PROPERTIES; STABILITY PROPERTIES; TANGENT PLANE; TANGENT SPACE;

STIFFNESS MATRIX;

EID: 85111143628     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (26)

1. [AA03] ADAMSON A., ALEXA M.: Approximating and intersecting surfaces from points. In Proc. Eurographics Symposium on Geometry Processing (2003), pp. 89–97.
2. *01] ALEXA M., BEHR J., COHEN-OR D., FLEISHMAN S., LEVIN D., SILVA C.: Point set surfaces. In Proc. IEEE Visualization (2001), pp. 21–28.
3. [Boi84] BOISSONNAT J. D.: Geometric structures for three-dimensional shape representation. ACM Trans. Graph. 3, 4 (1984), 266–286.
4. [BSCB00] BERTALMIO M., SAPIRO G., CASELLES V., BALLESTER C.: Image inpainting. In Proc. ACM SIGGRAPH (2000), pp. 417–424.
5. [CDR00] CLARENZ U., DIEWALD U., RUMPF M.: Nonlinear anisotropic diffusion in surface processing. Proc. IEEE Visualization (2000), 397–405.
6. [CRT04a] CLARENZ U., RUMPF M., TELEA A.: Fairing of point based surfaces. In Proc. Comp. Graphics Intl. (CGI) (2004). to appear.
7. [CRT04b] CLARENZ U., RUMPF M., TELEA A.: Robust feature detection and local classification for surfaces based on moment analysis. to appear in IEEE TVCG (2004).
8. [CS00] CHAN T., SHEN J.: Mathematical models for local deterministic inpainting. In Tech. Report CAM-00-11, Image Processing Group, UCLA (2000).
9. [DMSB99] DESBRUN M., MEYER M., SCHROEDER P., BARR A.: Implicit fairing of irregular meshes using diffusion and curvature flow. In Proc. ACM SIGGRAPH (1999), pp. 317–324.
10. [GKS00] GOPI M., KRISHNAN S., SILVA C. T.: Surface reconstruction based on lower dimensional localized delaunay triangulation. In Proc. Eurographics (2000), vol. 19(3).
11. *92] HOPPE H., DEROSE T., DUCHAMP T., MCDONALD J., STUETZLE W.: Surface reconstruction from unorganized points. In Proc. ACM SIGGRAPH (1992), pp. 71–78.
12. [Kim97] KIMMEL R.: Intrinsic scale space for images on surfaces: The geodesic curvature flow. Graphical Models and Image Processing 59(5) (1997), 365–372.
13. [Kob97] KOBBELT L.: Discrete fairing. In Proceedings of the 7th IMA Conference on the Mathematics of Surfaces (1997), pp. 101–131.
14. [LP01] LINSEN L., PRAUTZSCH H.: Global versus local triangulations. In Proc. Eurographics (short presentations) (2001), pp. 71–78.
15. [Mou] MOUNT D. M.: Ann: A library for approximate nearest neighbor searching. www.cs.umd.edu/∼mount/ANN.
16. [Pau03] PAULY M.: Point primitives for interactive modeling and processing of 3D geometry. Dissertation, Department of Computer Science, ETH Zürich, 2003.
17. [PKG03] PAULY M., KEISER R., GROSS M.: Multiscale feature extraction on point-sampled surfaces. In Proc. Eurographics (2003), vol. 22 (3), pp. 121–130.
18. [PR99] PREUSSER T., RUMPF M.: Anisotropic nonlinear diffusion in flow visualization. In Proc. IEEE Visualization (1999).
19. [RL00] RUSINKIEWICZ S., LEVOY M.: QSplat: A Multiresolution Point Rendering System for Large Meshes. In Proc. ACM SIGGRAPH (2000), pp. 343–352.
20. st Workshop of Applied Computational Geometry (1996), ACM Press, pp. 124–133.
21. [Tau95] TAUBIN G.: A signal processing approach to fair surface design. In Proc. ACM SIGGRAPH (1995), pp. 351–358.
22. [Tur91] TURK G.: Generating textures on arbitrary surfaces using reaction-diffusion. Computer Graphics (SIGGRAPH’91 Proceedings) 25, No. 4 (1991), 289–298.
23. th Eurographics Workshop on Rendering (2001), pp. 139–150.
24. 1 continuous surface reconstruction of noisy point cloud via local implicit quadric regression. In Proc. IEEE Visualization (2003), pp. 198–206.
25. [ZPKG02] ZWICKER M., PAULY M., KNOLL O., GROSS M.: Pointshop 3d: an interactive system for point-based surface editing. In Proc. ACM SIGGRAPH (2002), pp. 322–329.
26. [ZPvBG01] ZWICKER M., PFISTER H., VAN BAAR J., GROSS M.: Surface splatting. In Proc. ACM SIGGRAPH (2001), pp. 267–275.