.. Left-hand-image, Doo-Sabin subdivision scheme applied on the suitcase corner mesh; right-hand image: the subdivision with modified weights, the studied curves (patch borders) are highlighted, p.57

B. Initial, Each branch of the automaton corresponds to an initial surface, p.82

F. Michael and . Barnsley, Fractal functions and interpolation. Constructive Approximation, pp.303-329, 1986.

[. Bensoudane, Etude differentielle des formes fractales, 2009.

H. Bensoudane, C. Gentil, and M. Neveu, Fractional half-tangent of a curve described by iterated function system, Journal Of Applied Functional Analysis, vol.4, issue.2, pp.311-326, 2009.

F. Michael, A. N. Barnsley, and . Harrington, The calculus of fractal interpolation functions, Journal of Approximation Theory, vol.57, issue.1, pp.14-34, 1989.

I. Boier-martin and D. Zorin, Differentiable parameterization of catmullclark subdivision surfaces, Proceedings of the 2004 Eurographics, pp.155-164, 2004.

J. [. Catmull and . 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

[. Eddine, Formes fractales a pôles basées sur une généralisation des IFS, 1998.

W. O. Cochran, R. R. Lewis, and J. C. Hart, The normal of a fractal surface. The Visual Computer, pp.209-218, 2001.

I. Daubechies, C. Jeffrey, and . Lagarias, Sets of matrices all infinite products of which converge. Linear algebra and its applications, pp.227-263, 1992.

M. [. Doo and . Sabin, Behaviour of recursive division surfaces near extraordinary points, Computer-Aided Design, vol.10, issue.6, pp.356-360, 1978.
DOI : 10.1016/0010-4485(78)90111-2

G. Gouaty, Modélisation géométrique itérative sous contraintes, 2010.

M. [. Kosinka, N. Sabin, and . Dodgson, Cubic subdivision schemes with double knots, Computer Aided Geometric Design, vol.30, issue.1, 2012.
DOI : 10.1016/j.cagd.2012.06.004

D. [. Levin and . Levin, Analysis of quasi-uniform subdivision, Applied and Computational Harmonic Analysis, vol.15, issue.1, pp.18-32, 2003.
DOI : 10.1016/S1063-5203(03)00031-9

]. C. Loo87 and . Loop, Smooth subdivision surfaces based on triangles, 1987.

B. Benoit and . Mandelbrot, The Fractal Geometry of Nature, 1982.

R. Peter and . Massopust, Vector?valued fractal interpolation functions and their box dimension. aequationes mathematicae, pp.1-22, 1991.

G. Morin and R. Goldman, On the smooth convergence of subdivision and degree elevation for B??zier curves, Computer Aided Geometric Design, vol.18, issue.7, pp.657-666, 2001.
DOI : 10.1016/S0167-8396(01)00059-0

[. Podkorytov, C. Gentil, D. Sokolov, and S. Lanquetin, Geometry control of the junction between two fractal curves, Computer-Aided Design, vol.45, issue.2, pp.424-431, 2013.
DOI : 10.1016/j.cad.2012.10.025

URL : https://hal.archives-ouvertes.fr/hal-00755851

[. Podkorytov, C. Gentil, D. Sokolov, and S. Lanquetin, Joining Primal/Dual Subdivision Surfaces, Lecture Notes in Computer Science, 2013.
DOI : 10.1007/978-3-642-54382-1_23

URL : https://hal.archives-ouvertes.fr/hal-01137721

[. Prautzsch, Smoothness of subdivision surfaces at extraordinary points, Advances in Computational Mathematics, vol.9, issue.3/4, pp.377-3891018945708536, 1023.
DOI : 10.1023/A:1018945708536

[. Reif, A unified approach to subdivision algorithms near extraordinary vertices, Computer Aided Geometric Design, vol.12, issue.2, pp.153-174, 1995.
DOI : 10.1016/0167-8396(94)00007-F

[. Sokolov, C. Gentil, and H. Bensoudane, Differential Behaviour of Iteratively Generated Curves, Curves and Surfaces, pp.663-680, 2012.
DOI : 10.1007/978-3-642-27413-8_44

J. Stam and C. Loop, Quad/Triangle Subdivision, Computer Graphics Forum, vol.10, issue.6, pp.79-85, 2003.
DOI : 10.1016/S0167-8396(01)00038-3

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.9381

[. Schaefer, D. Levin, and R. Goldman, Subdivision schemes and attractors, Symposium on Geometry Processing, pp.171-180, 2005.

S. Schaefer and J. Warren, triangle/quad subdivision, ACM Transactions on Graphics, vol.24, issue.1, pp.28-36, 2005.
DOI : 10.1145/1037957.1037959

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.91.7247

D. Zorin, -Continuity of Subdivision Surfaces, SIAM Journal on Numerical Analysis, vol.37, issue.5, pp.1677-1708, 2000.
DOI : 10.1137/S003614299834263X

URL : https://hal.archives-ouvertes.fr/in2p3-01057020

[. Zair and E. Tosan, Fractal modeling using free form techniques, Computer Graphics Forum, vol.15, issue.3, pp.269-278, 1996.
DOI : 10.1111/1467-8659.1530269

[. Zair and E. Tosan, Unified ifs-based model to generate smooth or fractal forms. Surface Fitting and Multiresolution Methods, pp.335-344, 1997.