N. Amenta, S. Choi, and R. Kolluri, The power crust, unions of balls, and the medial axis transform, Computational Geometry, vol.19, issue.2-3, pp.127-153, 2001.
DOI : 10.1016/S0925-7721(01)00017-7

D. Attali, J. Boissonnat, and E. Edelsbrunner, Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, 2009.

D. Attali and A. Montanvert, Modeling noise for a better simplification of skeletons, Proceedings of 3rd IEEE International Conference on Image Processing, 1996.
DOI : 10.1109/ICIP.1996.560357

H. Blum, A transformation for extracting new descriptors of shape. Models for the Perception of Speech and Visual Form, Isuue, vol.5, pp.362-380, 1967.

J. W. Brandt and V. R. Algazi, Continuous skeleton computation by Voronoi diagram, CVGIP: Image Understanding, vol.55, issue.3, 1992.
DOI : 10.1016/1049-9660(92)90030-7

F. Chazal and A. Lieuter, The ?????-medial axis???, Graphical Models, vol.67, issue.4, pp.304-331, 2005.
DOI : 10.1016/j.gmod.2005.01.002

S. W. Choi and H. Seidel, Linear one-sided stability of MAT for weakly injective 3D domain, Proc. 7th ACM Sympos. Solid Modeling Appl, pp.344-355, 2002.
DOI : 10.1016/S0010-4485(03)00055-1

A. Cuevas, P. Llop, and B. Pateiro-lopez, On the estimation of the medial axis and inner parallel body, Journal of Multivariate Analysis, vol.129, pp.171-185, 2014.
DOI : 10.1016/j.jmva.2014.04.011

A. Cuevas and A. Rodriguez, On boundary estimation, Advances in Applied Probability, vol.21, issue.02, pp.340-354, 2004.
DOI : 10.1002/(SICI)1099-1476(19990310)22:4<301::AID-MMA42>3.0.CO;2-M

L. Devroye and G. L. Wise, Detection of Abnormal Behavior Via Nonparametric Estimation of the Support, SIAM Journal on Applied Mathematics, vol.38, issue.3, pp.480-488, 1980.
DOI : 10.1137/0138038

T. Dey and W. Zhao, Approximating the Medial Axis from the Voronoi Diagram with a Convergence Guarantee, Algorithmica, vol.38, issue.1, pp.179-200, 2003.
DOI : 10.1007/s00453-003-1049-y

D. Fritsch, S. Pizer, B. Morse, D. Eberly, and A. Liu, The multiscale medial axis and its applications in image registration, Pattern Recognition Letters, vol.15, issue.5, pp.445-452, 1994.
DOI : 10.1016/0167-8655(94)90135-X

C. Genovese, M. Perone-pacifico, I. Verdinelli, and L. Wasserman, The Geometry of Nonparametric Filament Estimation, Journal of the American Statistical Association, vol.2, issue.498, p.2012
DOI : 10.1007/BF01889678

A. Montero and J. Lang, Skeleton pruning by contour approximation and the integer medial axis transform, Computers & Graphics, vol.36, issue.5, pp.477-487, 2012.
DOI : 10.1016/j.cag.2012.03.029

R. Ramamurthy and R. T. Farouki, Voronoi diagram and medial axis algorithm for planar domains with curved boundaries I. Theoretical foundations, Journal of Computational and Applied Mathematics, vol.102, issue.1, pp.119-141, 1999.
DOI : 10.1016/S0377-0427(98)00211-8

URL : http://doi.org/10.1016/s0377-0427(98)00211-8

D. Shaked and A. Bruckstein, Pruning Medial Axes, Computer Vision and Image Understanding, vol.69, issue.2, pp.156-169, 1998.
DOI : 10.1006/cviu.1997.0598

G. Walther, On a generalization of Blaschke's Rolling Theorem and the smoothing of surfaces, Mathematical Methods in the Applied Sciences, vol.14, issue.4, pp.301-316, 1999.
DOI : 10.1017/CBO9780511526282

S. Xia, N. Ding, M. Jin, H. Wu, and Y. Yang, Medial axis construction and applications in 3d, Proc. IEE INFOCOM, pp.305-309, 2013.
DOI : 10.1109/infcom.2013.6566784

L. Younes, Shapes and Diffeomorphisms, 2010.
DOI : 10.1007/978-3-642-12055-8