Curvature-domain shape processing

Computer Graphics Forum

Volumn 27, Issue 2, 2008, Pages 241-250

  Eigensatz, Michael ^a   Sumner, Robert W ^a   Pauly, Mark ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER GRAPHICS; COMPUTATIONAL GEOMETRY; OPTIMIZATION; PROBLEM SOLVING; SIGNAL FILTERING AND PREDICTION;

3D GEOMETRY PROCESSING; CURVATURE DISTRIBUTIONS; FEATURE ENHANCEMENT; MULTI-SCALE CURVATURES; NONLINEAR LEAST SQUARES PROBLEMS; OPTIMIZATION APPROACH; SURFACE CURVATURES; SYNTHESIS ALGORITHMS; CURVATURE DISTRIBUTION; SHAPE EDITING;

CURVE FITTING; THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 42949168886     PISSN: 01677055     EISSN: 14678659     Source Type: Journal    
DOI: 10.1111/j.1467-8659.2008.01121.x     Document Type: Conference Paper

References (34)

1. ALLIEZ P., COHEN-STEINER D., DEV-ILLERS O., LÉVY B., DESBRUN M.: Anisotropic polygonal remeshing. ACM Transactions on Graphics 22, 3 (July 2003), 485-493.
2. ATTENE M., KATZ S., MORTARA M., PATANE G., SPAGNUOLO M., TAL A.: Mesh segmentation - a comparative study. In IEEE International Conference on Shape Modeling and Applications (2006).
3. BRIDSON R., MARINO S., FEDKIW R.: Simulation of clothing with folds and wrinkles. In Symposium on Computer Animation (2003), pp. 28-36.
4. BOTSCH M., PAULY M., KOBBELT L., ALLIEZ P., LEVY B.: Geometric modeling based on polygonal meshes. ACM SIGGRAPH Course Notes (2007).
5. BOBENKO A. I., SCHRÖDER P.: Discrete willmore flow. In Symposium on Geometry Processing (2005).
6. CAZALS F., POUGET M.: Estimating differential quantities using polynomial fitting of osculating jets. Comput. Aided Geom. Des. 22, 2 (2005), 121-146.
7. COHEN-STEINER D., MORVAN J.-M.: Restricted delaunay triangulations and normal cycle. In Symposium on Computational geometry (2003), pp. 312-321.
8. DESBRUN M., MEYER M., SCHRÖDER P., BARR A. H.: Implicit fairing of irregular meshes using diffusion and curvature flow. In Proceedings of SIGGRAPH (1999), pp. 317-324.
9. ECKSTEIN I., PONS J.-P., TONG Y., KUO C.C. J., DESBRUN M.: Generalized surface flows for mesh processing. In Symposium on Geometry Processing (2007), pp. 183-192.
10. FLEISHMAN S., DRORI I., COHEN-OR D.: Bilateral mesh denoising. ACM Trans. Graph. 22, 3 (2003), 950-953.
11. GRINSPUN E., GINGOLD Y., REISMAN J., ZORIN D.: Computing discrete shape operators on general meshes. Computer Graphics Forum 25, 3 (2006).
12. GILL P. E., MURRAY W., WRIGHT M. H.: Practical Optimization. Academic Press, London, 1989.
13. HILDEBRANDT K., POLTHIER K.: Anisotropic filtering of non-linear surface features. Computer Graphics Forum 23, 3 (2004).
14. HIRIART-URRUTY J.-B., YE D.: Sensitivity analysis of all eigenvalues of a symmetric matrix. Numer. Math. 70, 1 (1995), 45-72.
15. KIM M. S., CHOI D. H., HWANG Y.: Composite nonsmooth optimization using approximate generalized gradient vectors. J. Optim. Theory Appl. 112, 1 (2002), 145-165.
16. KALOGERAKIS E., SIMARI P., NOWROUZEZAHRAI D., SINGH K.: Robust statistical estimation of curvature on discretized surfaces. In Symposium on Geometry Processing (2007), pp. 13-22.
17. LIPMAN Y., SORKINE O., LEVIN D., COHEN-OR D.: Linear rotation-invariant coordinates for meshes. In Proceedings of ACM SIGGRAPH 2005 (2005), ACM Press, pp. 479-487.
18. MEYER M., DESBRUN M., SCHROEDER P., BARR A.: Discrete differential-geometry operators for triangulated 2-manifolds. VisMath. (2002).
19. MA K.-L., HERTZMANN A., INTERRANTE V., LUM E. B.: Recent advances in non-photorealistic rendering for art and visualization. ACM SIGGRAPH Course Notes (2002).
20. MADSEN K., NIELSEN H., TINGLEFF O.: Methods for Non-Linear Least Squares Problems. Tech. rep., Informatics and Mathematical Modelling, Technical University of Denmark, 2004.
21. NIELSEN H.: Damping Parameter in Marquardt's Method. Tech. rep., Informatics and Mathematical Modelling, Technical University of Denmark, 1999.
22. OTHAKE Y., BELYAEV A., SEIDEL H.-P.: Mesh smoothing by adaptive and anisotropic gaussian filter. Vision, Modeling, and Visualization (2002).
23. PINKALL U., POLTHIER K.: Computing discrete minimal surfaces and their conjugates. Experimental Mathematics 2, 1 (1993).
24. PUSHKAR J., SEQUIN C.: Energy minimizers for curvature-based surface functionals. Computer-Aided Design and Applications (2007).
25. RUSINKIEWICZ S.: Estimating curvatures and their derivatives on triangle meshes. In Symposium on 3D Data Processing, Visualization, and Transmission (2004).
26. SHEFFER A., DE STURLER E.: Parameterization of faceted surfaces for meshing using angle-based flattening. Engineering with Computers 17 (2001), 326-337.
27. SURAZHSJY V., GOTSMAN C.: Explicit surface remeshing. In Symposium on Geometry Processing (2003), pp. 20-30.
28. SCHENK O., GÄRTNER K.: Solving unsymmetric sparse systems of linear equations with pardiso. Future Gener. Comput. Syst. 20, 3 (2004), 475-487.
29. SHAMIR A.: Segmentation and shape extraction of 3d boundary meshes. Eurographics State-of-the-Art Report (2006).
30. TAUBIN G.: A signal processing approach to fair surface design. In Proceedings of SIGGRAPH (1995), pp. 351-358.
31. TOSUN E., GINGOLD Y. I., REISMAN J., ZORIN D.: Shape optimization using reflection lines. In Symposium on Geometry Processing (2007).
32. TOMASI C., MANDUCHI R.: Bilateral filtering for gray and color images. In Proceedings of ICCV (1998), p. 839.
33. TERZOPOULOS D., PLATT J., BARR A., FLEISCHER K.: Elastically deformable models. In Proceedings of SIGGRAPH (1987), pp. 205-214.
34. WOMERSLEY R. S., FLETCHER R.: An algorithm for composite nonsmooth optimization problems. J. Optim. Theory Appl. 48, 3 (1986), 493-523.