, Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms Advances in computational, Mathematics, vol.34, issue.3, pp.253-277, 2011.
, On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards $C^{s}$ functions with $s>1$, Mathematics of Computation, vol.80, issue.274, pp.959-971, 2011.
DOI : 10.1090/S0025-5718-2010-02434-2
URL : https://hal.archives-ouvertes.fr/hal-01266316
, Analysis of a New Nonlinear Subdivision Scheme. Applications in Image Processing, Foundations of Computational Mathematics, vol.6, issue.2, pp.193-225, 2006.
DOI : 10.1007/s10208-004-0122-5
, Nonlinear thresholding of multiresolution decompositions adapted to the presence of discontinuities, Advances in Computational Mathematics, vol.20, issue.4, pp.133-146, 2013.
DOI : 10.1023/A:1027315032100
URL : https://hal.archives-ouvertes.fr/hal-01266099
, Image compression based on a multi-directional map-dependent algorithm, Applied and Computational Harmonic Analysis, vol.23, issue.2, pp.181-197, 2007.
DOI : 10.1016/j.acha.2006.12.002
URL : https://doi.org/10.1016/j.acha.2006.12.002
, Position-dependent lagrange interpolating multiresolutions. International journal of wavelets, multiresolution and information processing, pp.513-539, 2007.
, Kriging-based interpolatory subdivision schemes, Applied and Computational Harmonic Analysis, vol.35, issue.2, pp.228-250, 2013.
DOI : 10.1016/j.acha.2012.07.008
URL : https://hal.archives-ouvertes.fr/hal-01108457
, A block spin construction of Ondelettes. Part i: Lemari?? Functions, Communications in Mathematical Physics, vol.110, issue.4, pp.601-615, 1987.
DOI : 10.1515/9781400827268.245
, Cutand-paste editing of multiresolution surfaces, In ACM Transactions on Graphics, vol.21, pp.312-321, 2002.
DOI : 10.1145/566570.566583
URL : http://kucg.korea.ac.kr/seminar/2002/src/PA-02-50.pdf
, Sharp features on multiresolution subdivision surfaces, Computer Graphics and Applications Proceedings. Ninth Pacific Conference on, pp.140-149, 2001.
DOI : 10.1109/pccga.2001.962867
, 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
, Stationary subdivision, American Mathematical Soc, vol.453, 1991.
, An algorithm for high-speed curve generation. Computer graphics and image processing, pp.346-349, 1974.
, Biorthogonal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, vol.10, issue.5, pp.485-560, 1992.
DOI : 10.1002/cpa.3160450502
, Quasilinear subdivision schemes with applications to ENO interpolation, Applied and Computational Harmonic Analysis, vol.15, issue.2, pp.89-116, 2003.
DOI : 10.1016/S1063-5203(03)00061-7
URL : https://doi.org/10.1016/s1063-5203(03)00061-7
, Polynomial reproduction for univariate subdivision schemes of any arity, Journal of Approximation Theory, vol.163, issue.4, pp.413-437, 2011.
DOI : 10.1016/j.jat.2010.11.002
URL : https://doi.org/10.1016/j.jat.2010.11.002
, Ten lectures on wavelets, SIAM, 1992.
, Un peu de mathématiques à propos d'une courbe plane
, , pp.73-76, 1947.
, Symmetric iterative interpolation processes, Constructive approximation, pp.49-68, 1989.
DOI : 10.1007/978-1-4899-6886-9_3
, 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
, A c 2 four-point subdivision scheme with fourth order accuracy and its extensions, Mathematical Methods for Curves and Surfaces, pp.145-156, 2004.
, Polynomial reproduction by symmetric subdivision schemes, Journal of Approximation Theory, vol.155, issue.1, pp.28-42, 2008.
DOI : 10.1016/j.jat.2008.04.008
URL : https://doi.org/10.1016/j.jat.2008.04.008
, Subdivision schemes in geometric modelling, Acta Numerica, vol.11, pp.73-144, 2002.
DOI : 10.1017/cbo9780511550140.002
, A 4-point interpolatory subdivision scheme for curve design, Computer Aided Geometric Design, vol.4, issue.4, pp.257-268, 1987.
DOI : 10.1016/0167-8396(87)90001-X
, Multiresolution Representation of Data: A General Framework, SIAM Journal on Numerical Analysis, vol.33, issue.3, pp.1205-1256, 1996.
DOI : 10.1137/0733060
, Reverse subdivision, 2005.
, Polynomial reproduction in subdivision, Advances in Computational Mathematics, vol.20, issue.1/3, pp.67-86, 2004.
DOI : 10.1023/A:1025859224071
, On the Coupling of Decimation Operator with Subdivision Schemes for Multi-scale Analysis, In Lecture Notes in Computer Science, vol.3, issue.2, pp.162-185, 2016.
DOI : 10.1006/acha.1996.0015
, Displaced subdivision surfaces, Proceedings of the 27th annual conference on Computer graphics and interactive techniques , SIGGRAPH '00, pp.85-94, 2000.
DOI : 10.1145/344779.344829
URL : http://research.microsoft.com/~hoppe/dss.pdf
, Polynomial generation and quasi-interpolation in stationary non-uniform subdivision, Computer Aided Geometric Design, vol.20, issue.1, pp.41-60, 2003.
DOI : 10.1016/S0167-8396(03)00006-2
, Recent progress in subdivision: a survey Advances in Multiresolution for Geometric Modelling, pp.203-230, 2005.
, Construction and Analysis of Zone-dependent Interpolatory/Non-interpolatory Stochastic Subdivision Schemes for Non-regular Data, International Conference on Mathematical Methods for Curves and Surfaces, pp.456-470, 2012.
DOI : 10.1007/978-3-642-54382-1_26
, On four-point penalized Lagrange subdivision schemes, Applied Mathematics and Computation, vol.281, pp.278-299, 2016.
DOI : 10.1016/j.amc.2016.01.030
URL : https://hal.archives-ouvertes.fr/hal-01265923
, The lifting scheme: A custom-design construction of biorthogonal wavelets Applied and computational harmonic analysis, pp.186-200, 1996.
DOI : 10.1006/acha.1996.0015
URL : https://doi.org/10.1006/acha.1996.0015
, Interactive multiresolution mesh editing, Proceedings of the 24th annual conference on Computer graphics and interactive techniques , SIGGRAPH '97, pp.259-268, 1997.
DOI : 10.1145/258734.258863
URL : http://mrl.nyu.edu/publications/multires-mesh/meshed.pdf