L. Allemand-giorgis, G. P. Bonneau, S. Hahmann, and F. Vivodtzev, Piecewise Polynomial Monotonic Interpolation of 2D Gridded Data, Topological and Statistical Methods for Complex Data: Tackling Large-Scale, High- Dimensional, and Multivariate Data Spaces, pp.73-91, 2015.
DOI : 10.1007/978-3-662-44900-4_5
URL : https://hal.archives-ouvertes.fr/hal-01059532

P. T. Bremer, H. Edelsbrunner, B. Hamann, and V. Pascucci, A topological hierarchy for functions on triangulated surfaces, IEEE Transactions on Visualization and Computer Graphics, vol.10, issue.4, pp.385-396, 2004.
DOI : 10.1109/TVCG.2004.3

, CGAL: Computational Geometry Algorithms Library, 2017.

H. Edelsbrunner, D. Letscher, and A. Zomorodian, Topological persistence and simplification, pp.454-463, 2000.

H. Edelsbrunner, J. Harer, and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Symposium on Computational Geometry, pp.70-79, 2001.

H. Edelsbrunner, D. Letscher, and A. Zomorodian, Topological Persistence and Simplification, Discrete & Computational Geometry, vol.28, issue.4, pp.511-533, 2002.
DOI : 10.1007/s00454-002-2885-2

H. Edelsbrunner, J. Harer, and A. Zomorodian, Hierarchical Morse--Smale Complexes for Piecewise Linear 2-Manifolds, Discrete and Computational Geometry, vol.30, issue.1, pp.87-107, 2003.
DOI : 10.1007/s00454-003-2926-5

G. E. Farin, Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide, Academic, 1997.

G. E. Farin and D. Hansford, Discrete Coons patches, Computer Aided Geometric Design, vol.16, issue.7, pp.691-700, 1999.
DOI : 10.1016/S0167-8396(99)00031-X

M. S. Floater, Mean value coordinates, Computer Aided Geometric Design, vol.20, issue.1, pp.19-27, 2003.
DOI : 10.1016/S0167-8396(03)00002-5

R. Forman, A user's guide to discrete morse theory, Proceedings of the 2001 International Conference on Formal Power Series and Algebraic Combinatorics, p.48, 2001.

D. Günther, A. Jacobson, J. Reininghaus, H. Seidel, O. Sorkine-hornung et al., Fast and Memory-Efficienty Topological Denoising of 2D and 3D Scalar Fields, IEEE Transactions on Visualization and Computer Graphics, vol.20, issue.12, pp.2585-2594, 2014.
DOI : 10.1109/TVCG.2014.2346432

A. Gyulassy, Combinatorial construction of Morse-Smale complexes for data analysis and visualization, 2008.

A. Gyulassy, V. Natarajan, V. Pascucci, P. Bremer, and B. Hamann, A topological approach to simplification of three-dimensional scalar functions, IEEE Transactions on Visualization and Computer Graphics, vol.12, issue.4, pp.474-484, 2006.
DOI : 10.1109/TVCG.2006.57

A. Gyulassy, V. Natarajan, V. Pascucci, and B. Hamann, Efficient Computation of Morse-Smale Complexes for Three-dimensional Scalar Functions, IEEE Transactions on Visualization and Computer Graphics, vol.13, issue.6, pp.1440-1447, 2007.
DOI : 10.1109/TVCG.2007.70552

A. Gyulassy, P. Bremer, B. Hamann, and V. Pascucci, A Practical Approach to Morse-Smale Complex Computation: Scalability and Generality, IEEE Transactions on Visualization and Computer Graphics, vol.14, issue.6, pp.1619-1626, 2008.
DOI : 10.1109/TVCG.2008.110

A. Gyulassy, P. Bremer, and V. Pascucci, Computing Morse-Smale Complexes with Accurate Geometry, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.12, pp.2014-2022, 2012.
DOI : 10.1109/TVCG.2012.209

A. Gyulassy, N. Kotava, M. Kim, C. D. Hansen, H. Hagen et al., Direct Feature Visualization Using Morse-Smale Complexes, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.9, pp.1549-1562, 2012.
DOI : 10.1109/TVCG.2011.272

X. He and P. Shi, Monotone B-Spline Smoothing, Journal of the American Statistical Association, vol.93, issue.442, pp.643-650, 1998.
DOI : 10.2307/2670115

A. Jacobson, T. Weinkauf, and O. Sorkine, Smooth Shape-Aware Functions with Controlled Extrema, Computer Graphics Forum, vol.29, issue.2, pp.1577-1586, 2012.
DOI : 10.1111/j.1467-8659.2009.01622.x

N. Jaxon and X. Qian, Isogeometric analysis on triangulations, Computer-Aided Design, vol.46, pp.45-57, 2014.
DOI : 10.1016/j.cad.2013.08.017

M. Morse, The Calculus of Variations in the Large, 1934.
DOI : 10.1090/coll/018

V. Robins, Computational topology at multiple resolutions: foundations and applications to fractals and dynamics, 2000.

D. Shepard, A two-dimensional interpolation function for irregularly-spaced data, Proceedings of the 1968 23rd ACM national conference on -, pp.517-524, 1968.
DOI : 10.1145/800186.810616

N. Shivashankar and V. Natarajan, Parallel Computation of 3D Morse-Smale Complexes, Computer Graphics Forum, vol.99, issue.10, pp.965-974, 2012.
DOI : 10.1111/j.1467-8659.2012.03089.x

N. Shivashankar, S. Maadasamy, and V. Natarajan, Parallel Computation of 2D Morse-Smale Complexes, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.10, pp.1757-1770, 2012.
DOI : 10.1109/TVCG.2011.284

S. Smale, On Gradient Dynamical Systems, The Annals of Mathematics, vol.74, issue.1, pp.199-206, 1961.
DOI : 10.2307/1970311

J. Tierny, D. Günther, and V. Pascucci, Optimal General Simplification of Scalar Fields on Surfaces, Topological and Statistical Methods for Complex Data: Tackling Large-Scale, High-Dimensional, and Multivariate Data Spaces, pp.57-71, 2015.
DOI : 10.1007/978-3-662-44900-4_4
URL : https://hal.archives-ouvertes.fr/hal-01206848

J. Tierny and V. Pascucci, Generalized Topological Simplification of Scalar Fields on Surfaces, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.12, pp.2005-2013, 2012.
DOI : 10.1109/TVCG.2012.228
URL : https://hal.archives-ouvertes.fr/hal-01206877

T. Weinkauf, Y. I. Gingold, and O. Sorkine, Topology-based Smoothing of 2D Scalar Fields with C1-Continuity, Computer Graphics Forum, vol.23, issue.3, pp.1221-1230, 2010.
DOI : 10.1080/10586458.1993.10504266

G. Xu, B. Mourrain, R. Duvigneau, and A. Galligo, Parameterization of computational domain in isogeometric analysis: Methods and comparison, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.23-24, pp.2021-2031, 2011.
DOI : 10.1016/j.cma.2011.03.005