Anisotropic filtering of non-linear surface features

Computer Graphics Forum

Volumn 23, Issue 3 SPEC. ISS., 2004, Pages 391-400

  Hildebrandt, Klaus ^a   Polthier, Konrad ^a  

^a ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; ALGORITHMS; ANISOTROPY; BOUNDARY CONDITIONS; FILTRATION; FREQUENCIES; IMAGE PROCESSING; OPTIMIZATION;

ANISOTROPIC FILTERING; FILTERING ALGORITHM; FREE BOUNDARY SEGMENTS; SURFACE FEATURES;

GEOTEXTILES;

EID: 4644236313     PISSN: 01677055     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-8659.2004.00770.x     Document Type: Conference Paper

References (32)

1. [AZ67] ALEKSANDROV A. D., ZALGALLER V. A.: Intrinsic Geometry of Surfaces, vol. 15 of Translation of Mathematical Monographs. AMS, 1967.
2. [BX03] BAJAJ C., XU G.: Anisotropic diffusion on surfaces and functions on surfaces. ACM Transactions on Graphics 22 (2003), 4-32.
3. [CDR00] CLARENZ U., DIEWALD U., RUMPF M.: Anisotropic geometric diffusion in surface processing. Proc. of IEEE Visualization (2000), 397-405.
4. [CDR03] CLARENZ U., DIEWALD U., RUMPF M.: A multiscale fairing method for textured surfaces. In Visualization and Mathematics III, Hege H.-C., PolthierK., (Eds.). Springer-Verlag, Heidelberg, 2003, pp. 245-260.
5. [CSM03] COHEN-STEINER D., MORVAN J.-M.: Restricted Delaunay triangulations and normal cycles. Proc. 19th Annu. ACM Sympos. Comput Geom. (2003), 237-246.
6. [DDE*93] DEROSE T., DUCHAMP T., HOPPE H., MCDONALD J., STUETZLE W.: Mesh optimization. Proc. of ACM SIGGRAPH(1993), 19-26.
7. [DMR02] DlEWALD U., MORIGI S., RUMPF M.: A cascadic geometric filtering approach to subdivision. Computer Aided Design 19 (2002), 675-694.
8. [DMSB99] DESBRUN M., MEYER M., SCHRÖDER P., BARR A. H.: Implicit fairing of irregular meshes using diffusion and curvature flow. Proc. of ACM SIGGRAPH (1999), 317-324.
9. [DMSB00] DESBRUN M., MEYER M., SCHRÖDER P., BARR A.: Anisotropic feature-preserving denoising of height fields and bivariate data. Graphics Interface (2000), 145-152.
10. [FDCO03] FLEISHMAN S., DRORI I., COHEN-OR D.: Bilateral mesh denoising. Proc. of ACM SIGGRAPH (2003), 950-953.
11. [GH00] GROSS M., HUBELI A.: Fairing of nonmanifolds for visualization. Proc. of IEEE Visualization (2000), 407-414.
12. [JDD03] JONES T. R., DURAND F., DESBRUN M.: Non-iterative, feature-preserving mesh smoothing. Proc. of ACM SIGGRAPH (2003).
13. [KCVS98] KOBBELT L., CAMPAGNA S., VORSATZ J., SEIDEL H.-P.: Interactive multi-resolution modeling on arbitrary meshes. Proc. of ACM SIGGRAPH (1998), 105-114.
14. [KT97] KURIYAMA S., TACHIBANA K.: Polyhedral surface modeling with a diffusion system. Proc. of Eurographics (1997), C39-C46.
15. [LBSP02] LIU X., BAO H., SHUM H.-Y., PENG Q.: A novel volume constrained smoothing method for meshes. Graphical Models, volume 64 (2002), 169-182.
16. [MDSB03] MEYER M., DESBRUN M., SCHRÖDER P., BARR A. H.: Discrete differential-geometry operators for triangulated 2-manifolds. In Visualization and Mathematics III, Hege H.-C., Polthier K., (Eds.). Springer-Verlag, Heidelberg, 2003, pp. 35-57.
17. [OBB01] OHTAKE Y., BELYAEV A., BOGAEVSKI I.: Mesh regularization and adaptive smoothing. Computer Aided Design (2001).
18. [Pol02] POLTHIER K.: Polyhedral surfaces of constant mean curvature. Habilitationsschrift Technische Universität Berlin (2002).
19. [Pol04] POLTHIER K.: Computational aspects of discrete minimal surfaces. In Global Theory of Minimal Surfaces (2004), D. Huffman et al., (Ed.), AMS.
20. [PP93] PINKALL U., POLTHIER K.: Computing discrete minimal surfaces and their conjugates. Experim. Math. 2, 1 (1993), 15-36.
21. [PR02] POLTHIER K., ROSSMANN W.: Index of discrete constant mean curvature surfaces. J. Reine und Angew. Math. (2002), 47-77.
22. [PSZ01] PENG J., STRELA V., ZORIN D.: A simple algorithm for surface denoising. Proc. of IEEE Visualization (2001).
23. [PTVF92] PRESS W., TEUKOLSKY S., VETTERLING W., FLANNERY B.: Numerical Recipes in C. Cambridge University Press, 1992.
24. [RP02] RUMPF M., PREUSSER T.: A level set method for anisotropic geometric diffusion in 3D image processing. SIAM J. Appl. Math. 62, 5 (2002), 1772-1793.
25. [SK00] SCHNEIDER R., KOBBELT L.: Generating fair meshes with G1 boundary conditions. Proc. of ACM SIGGRAPH (2000), 247-256.
26. [SK01] SCHNEIDER R., KOBBELT L.: Geometric fairing of irregular meshes for free-form surface design. Computer Aided Geometric Design 18, 4 (2001), 359-379.
27. [Tau95a] TAUBIN G. : Estimating the tensor of curvature of a surface from a polyhedral approximation. Proc. of fifth international conference on computer vision (1995), 902-907.
28. [Tau95b] TAUBIN G.: A signal processing approach to fair surface design. Proc. of ACM SIGGRAPH (1995).
29. [Tau01] TAUBIN G.: Linear anisotropic mesh filtering. IBM Research Report RC2213 (2001).
30. [TWBO02] TASDIZEN T., WHITAKER R., BURCHARD P., OSHER S.: Geometric surface smoothing via anisotropic diffusion of normals. Proc. of IEEE Visualization (2002), 125-132.
31. [VMM99] VOLLMER J., MENCL R., MÜLLER H.: Improved Laplacian smoothing of noisy surface meshes. Proc. of Eurographics (1999), 131-138.
32. [WW94] WELCH W., WITKIN A.: Free-form shape design using triangulated surfaces. Proc. of Geometric Modeling and Processing (1994), 251-261.