G. P. Bonneau and H. Hagen, Variational design of rational Bézier curves and surfaces, Curves and Surfaces, volume II, pp.51-58, 1994.

E. Catmull and J. Clark, Recursively generated B-spline surfaces on arbitrary topological meshes, Computer-Aided Design, vol.10, issue.6, pp.350-355, 1978.
DOI : 10.1016/0010-4485(78)90110-0

H. Chiyokura and F. Kimura, Design of solids with free-form surfaces, Computer Graphics Proceedings (SIGGRAPH '83), pp.289-298, 1983.

M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr, Implicit fairing of irregular meshes using diffusion and curvature flow, Proceedings of the 26th annual conference on Computer graphics and interactive techniques , SIGGRAPH '99, pp.317-324, 1999.
DOI : 10.1145/311535.311576

N. Dyn, D. Levine, and J. A. Gregory, A butterfly subdivision scheme for surface interpolation with tension control, ACM Transactions on Graphics, vol.9, issue.2, pp.160-169, 1990.
DOI : 10.1145/78956.78958

J. Fan and J. Peters, Smooth Bi-3 spline surfaces with fewest knots, Computer-Aided Design, vol.43, issue.2, pp.180-187, 2011.
DOI : 10.1016/j.cad.2010.11.002

G. Greiner, Variational Design and Fairing of Spline Surfaces, Proc. Eurographics, pp.143-154, 1994.
DOI : 10.1111/1467-8659.1330143

H. Hagen and G. Schulze, Automatic smoothing with geometric surface patches, Computer Aided Geometric Design, vol.4, issue.3, pp.231-236, 1987.
DOI : 10.1016/0167-8396(87)90014-8

S. Hahmann and G. Bonneau, Triangular G1 interpolation by 4-splitting domain triangles, Computer Aided Geometric Design, vol.17, issue.8, pp.731-757, 2000.
DOI : 10.1016/S0167-8396(00)00021-2

URL : https://hal.archives-ouvertes.fr/hal-00319653

S. Hahmann, G. Bonneau, and B. Caramiaux, Bicubic G1 Interpolation of Irregular Quad Meshes Using a 4-Split, GMP'08: Proceedings of the 5th international conference on Advances in geometric modeling and processing, pp.17-32, 2008.
DOI : 10.1007/978-3-540-79246-8_2

J. Hahn, Filling polygonal holes with rectangular patches In Theory and practice of geometric modeling, pp.81-91, 1989.

M. Halstead, M. Kass, and T. Derose, Efficient, fair interpolation using Catmull-Clark surfaces, Proceedings of the 20th annual conference on Computer graphics and interactive techniques , SIGGRAPH '93, pp.35-44, 1993.
DOI : 10.1145/166117.166121

M. Kapl, M. Byrtus, and B. Jüttler, Triangular bubble spline surfaces, Computer-Aided Design, vol.43, issue.11, pp.1341-1349, 2011.
DOI : 10.1016/j.cad.2011.08.021

URL : http://doi.org/10.1016/j.cad.2011.08.021

K. Karciauskas and J. Peters, Biquintic g2 surfaces, The Mathematics of Surfaces XIV The Institute of Mathematics and its Applications, pp.213-236, 2013.

L. Kobbelt, Interpolatory Subdivision on Open Quadrilateral Nets with Arbitrary Topology, Computer Graphics Forum, vol.15, issue.3, pp.409-420, 1996.
DOI : 10.1111/1467-8659.1530409

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.4647

X. Li and J. Zheng, An alternative method for constructing interpolatory subdivision from approximating subdivision, Computer Aided Geometric Design, vol.29, issue.7, pp.474-484, 2012.
DOI : 10.1016/j.cagd.2012.03.008

H. Lin, W. Chen, and H. Bao, Adaptive patch-based mesh fitting for reverse engineering, Computer-Aided Design, vol.39, issue.12, pp.1134-1142, 2007.
DOI : 10.1016/j.cad.2007.10.002

Y. Liu and S. Mann, Approximate continuity for parametric B??zier patches, Proceedings of the 2007 ACM symposium on Solid and physical modeling , SPM '07, pp.315-321, 2007.
DOI : 10.1145/1236246.1236291

C. Loop, A G1 triangular spline surface of arbitrary topological type, Computer Aided Geometric Design, vol.11, issue.3, pp.303-330, 1994.
DOI : 10.1016/0167-8396(94)90005-1

C. Loop and T. D. Derose, Generalized B-spline surfaces of arbitrary topology, Computer Graphics Proceedings (SIGGRAPH 90, pp.347-356, 1990.

M. Lounsbery, S. Mann, and T. Derose, Parametric surface interpolation, IEEE Computer Graphics and Applications, vol.12, issue.5, pp.45-52, 1992.
DOI : 10.1109/38.156012

H. P. Moreton and C. H. Séquin, Functional optimization for fair surface design, ACM SIGGRAPH Computer Graphics, vol.26, issue.2, pp.167-176, 1992.
DOI : 10.1145/142920.134035

G. Nielson, Some piecewise polynomial alternatives to splines under tension, pp.209-235, 1974.
DOI : 10.1016/b978-0-12-079050-0.50015-1

M. Nießner, C. Loop, M. Meyer, and T. Derose, Feature-adaptive gpu rendering of catmull-clark subdivision surfaces, ACM Trans. Graph, vol.316, issue.111, pp.1-6, 2012.

H. Nowacki and D. Reese, Design and fairing of ship surfaces, Surfaces in CAGD, pp.121-134, 1983.

J. Peters, Smooth interpolation of a mesh of curves, Constructive Approximation, vol.8, issue.4, pp.221-246, 1991.
DOI : 10.1007/BF01888155

J. Peters, Biquartic C1-surface splines over irregular meshes, Computer-Aided Design, vol.27, issue.12, pp.895-903, 1995.
DOI : 10.1016/0010-4485(95)00010-0

J. Peters, $C^1 $-Surface Splines, SIAM Journal on Numerical Analysis, vol.32, issue.2, pp.645-666, 1995.
DOI : 10.1137/0732029

J. Peters, C2 free-form surfaces of degree (3,5), Computer Aided Geometric Design, vol.19, issue.2, pp.113-126, 2002.
DOI : 10.1016/S0167-8396(01)00081-4

J. Peters and J. Fan, On the complexity of smooth spline surfaces from quad meshes, Computer Aided Geometric Design, vol.27, issue.1, pp.96-105, 2010.
DOI : 10.1016/j.cagd.2009.09.003

. Pixar, Open subdiv, subdivision surface library. http:// graphics.pixar.com/opensubdiv/, 2012. [35] T. Poeschl. Detecting surface irregularities using isophotes, Computer Aided Geometric Design, vol.1, issue.2, pp.163-168, 1984.

H. Pottmann and M. Hofer, A variational approach to spline curves on surfaces, Computer Aided Geometric Design, vol.22, issue.7, pp.693-709, 2005.
DOI : 10.1016/j.cagd.2005.06.006

U. Reif, Biquadratic G-spline surfaces, Computer Aided Geometric Design, vol.12, issue.2, pp.193-205, 1995.
DOI : 10.1016/0167-8396(94)00009-H

R. F. Sarraga, G1 interpolation of generally unrestricted cubic B??zier curves, Computer Aided Geometric Design, vol.4, issue.1-2, pp.23-39, 1987.
DOI : 10.1016/0167-8396(87)90022-7

X. Shi, T. Wang, and P. Yu, A practical construction of G1 smooth biquintic B-spline surfaces over arbitrary topology, Computer-Aided Design, vol.36, issue.5, pp.413-424, 2004.
DOI : 10.1016/S0010-4485(03)00111-8

G. Strang, Introduction to Applied Mathematics, 1986.

J. J. Wijk, Bicubic patches for approximating non-rectangular control-point meshes, Computer Aided Geometric Design, vol.3, issue.1, pp.1-13, 1986.
DOI : 10.1016/0167-8396(86)90021-X

D. Zorin, P. Schröder, and W. Sweldens, Interpolating Subdivision for meshes with arbitrary topology, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques , SIGGRAPH '96, pp.189-192, 1996.
DOI : 10.1145/237170.237254