A. D. Falk-r and . Winther-r, Finite element exterior calculus, homological techniques, and applications, Acta Numerica, vol.15, 2006.

. [. Wilson-m, Using partial differential equations to generate free-form surfaces, Computer- Aided Design, pp.22-202, 1990.

D. S. Bremer-p.-t, G. M. Pascucci-v, and H. J. , Spectral surface quadrangulation, SIGGRAPH '06: ACM SIGGRAPH 2006 Papers, pp.1057-1066, 2006.

[. Fefferman-c, Nodal sets of eigenfunctions on riemannian manifolds, Invent. Math, vol.93, issue.1, pp.161-183, 1988.

. [. Kanzo-e and . Tong-y, Dis- c 2008 The Author(s) Journal compilation c, 2008.

. [. Krysl-p and . Schröder-p, CHARMS: a simple framework for adaptive simulation, SIGGRAPH Proceedings, pp.281-290, 2002.

. [. Sweldens-w and . Schröder-p, Multiresolution signal processing for meshes, Computer Graphics Proceedings (SIGGRAPH 99), pp.325-334, 1999.

]. Hir03 and . A. Hirani, Discrete exterior calculus, 2003.

[. S. Leis-r, Finite elements for the beltrami operator on arbitrary surfaces. Partial differential equations and calculus of variations, Lecture Notes in Mathematics, vol.1357, pp.142-155, 1988.

P. [. Wardet-zky, On the convergence of metric and geometric properties of polyhedral surfaces, Geom Dedicata, 2006.

. [. Campagna-s, . J. Vorsatz, and . Seidel-h, Interactive multi-resolution modeling on arbitrary meshes, SIGGRAPH Conference Proceedings, pp.105-114, 1998.

. [. Gotsman-c, Spectral compression of mesh geometry, SIGGRAPH '00: Proceedings of the 27th annual conference on Computer graphics and interactive techniques, pp.279-286, 2000.

]. Kob97 and . L. Kobbelt, Discrete fairing, Proceedings of the Seventh IMA Conference on the Mathematics of Surfaces, pp.101-131, 1997.

]. Lev06 and . B. Levy, Laplace-beltrami eigenfunctions: Towards an algorithm that understands geometry, IEEE International Conference on Shape Modeling and Applications, 2006.

L. A. Sweldens-w, C. L. Schröder-p, and . Dobkin-d, Maps: Multiresolution adaptive parameterization of surfaces, Computer Graphics Proceedings (SIGGRAPH 98), pp.95-104, 1998.

]. Mal92 and . J. Mallet, Discrete Smooth Interpolation, Computer Aided Design, vol.24, issue.4, pp.263-270, 1992.

[. M. Desbrun-m and B. A. Schröder-p, Discrete differential-geometry operators for triangulated 2-manifolds, pp.35-57, 2003.

I. [. Toledo-s, An outof-core sparse symmetric indefinite factorization method, ACM Transactions on Mathematical Software, vol.32, pp.445-471, 2006.

. A. Nealen, . Igarashi-t, and A. M. Sorkine-o, Laplacian mesh optimization, Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia , GRAPHITE '06, pp.381-389, 2006.
DOI : 10.1145/1174429.1174494

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.120.4944

P. M. Gross-m, Spectral processing of point sampled geometry, SIGGRAPH Proceedings, 2001.

. [. Polthier-k, Computing discrete minimal surfaces and their conjugates, Experimental Mathematics, vol.2, p.1, 1993.

[. Wolter-f.-e and . Peinecke-n, Laplace-spectra as fingerprints for shape matching, SPM '05: Proceedings of the 2005 ACM symposium on Solid and physical modeling, pp.101-106, 2005.

I. [. Cohen-or and . Toledo-s, Geometry-aware bases for shape approximation, IEEE Transactions On Visualization And Computer Graphics, 2005.

]. Tau95 and . G. Taubin, A signal processing approach to fair surface design, SIGGRAPH '95: Proceedings of the 22nd annual conference on Computer graphics and interactive techniques, pp.351-358, 1995.

. M. Wbh-*-07-]-wardetzky, H. D. Bergou-m, and Z. D. Grinspun-e, Discrete quadratic curvature energies, Computer Aided Geometric Design, vol.24, issue.8-9, 2007.
DOI : 10.1016/j.cagd.2007.07.006

W. J. Kobbelt-l, Efficient spectral watermarking of large meshes with orthogonal basis functions, The Visual Computer, 2005.

. [. Mathur-s, . Kalberer-f, and . Grinspun-e, Discrete laplace operators: No free lunch, Eurographics Symposium on Geometry Processing, 2007.

[. and B. H. Shi, 3d surface filtering using spherical harmonics, In Computer-Aided Design, vol.36, pp.363-375, 2004.

]. Zha04 and . Zhang-h, Discrete combinatorial laplacian operators for digital geometry processing, Proc. SIAM Conference on Geometric Design and Computing, 2004.

]. Zvkd07, . Zhang-h, . Van-kaick-o, and . Dyer-r, Spectral methods for mesh processing and analysis. 1?22. c 2008 The Author(s) Journal compilation c, 2008.