F. Fang, X. Zhang, A. Weckenmann, G. Zhang, and C. Evans, Manufacturing and measurement of freeform optics, CIRP Annals - Manufacturing Technology, vol.62, issue.2, 2013.
DOI : 10.1016/j.cirp.2013.05.003

A. Yi, C. Huang, F. Klocke, C. Brecher, G. Pongs et al., Development of a compression molding process for three-dimensional tailored free-form glass optics, Applied Optics, vol.45, issue.25, pp.6511-6519, 2006.
DOI : 10.1364/AO.45.006511

H. Nouira, R. Bergmans, A. Küng, H. Piree, R. Henselmans et al., Ultra-high precision CMMs as well as tactile and optical single scanning probes evaluation in dimensional metrology, 2014.

Z. Chen, Z. Guo, M. Q. Yang, Z. Bai, and R. , Research of fitting algorithm for coefficients of rotational symmetry aspheric lens, 4th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment, 2009.
DOI : 10.1117/12.833085

J. Moré, The Levenberg?Marquardt algorithm: implementation and theory. In: Numerical analysis, pp.105-121, 1978.

H. Aceves-campos, Profile Identification of Aspheric Lenses, Applied Optics, vol.37, issue.34, pp.8149-50, 1998.
DOI : 10.1364/AO.37.008149

Z. Zhang, Parameter estimation techniques: a tutorial with application to conic fitting, Image and Vision Computing, vol.15, issue.1, pp.59-76, 1997.
DOI : 10.1016/S0262-8856(96)01112-2

URL : https://hal.archives-ouvertes.fr/inria-00074015

W. Sun, J. Mcbride, and M. Hill, A new approach to characterising aspheric surfaces, Precision Engineering, vol.34, issue.1, pp.171-180, 2010.
DOI : 10.1016/j.precisioneng.2009.05.005

H. Park, A solution for NURBS modelling in aspheric lens manufacture, The International Journal of Advanced Manufacturing Technology, vol.23, issue.1-2, pp.1-10, 2004.
DOI : 10.1007/s00170-002-1518-5

P. Besl and N. Mckay, A method for registration of 3-D shapes, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.14, issue.2, pp.239-56, 1992.
DOI : 10.1109/34.121791

S. Rusinkiewicz and M. Levoy, Efficient variants of the ICP algorithm, Proceedings Third International Conference on 3-D Digital Imaging and Modeling, pp.145-52, 2001.
DOI : 10.1109/IM.2001.924423

X. Jiang and X. Zhang, Template matching of freeform surfaces based on orthogonal distance fitting for precision metrology, Measurement Science and Technology, vol.21, issue.4, p.45101, 2010.
DOI : 10.1088/0957-0233/21/4/045101

J. Nocedal, Updating quasi-Newton matrices with limited storage, Mathematics of Computation, vol.35, issue.151, pp.773-82, 1980.
DOI : 10.1090/S0025-5718-1980-0572855-7

W. Zheng, P. Bo, Y. Liu, and W. Wang, Fast B-spline curve fitting by L-BFGS, Computer Aided Geometric Design, vol.29, issue.7, pp.448-62, 2012.
DOI : 10.1016/j.cagd.2012.03.004

F. Pomerlau, F. Colas, R. Siegwart, and S. Magnenat, Comparing ICP variants on real-world data sets, Autonomous Robots, vol.25, issue.3, pp.133-181, 2013.
DOI : 10.1007/s10514-013-9327-2

S. Ahn, Least squares orthogonal distance fitting of curves and surfaces in space, 2004.
DOI : 10.1007/b104017

H. Kim, E. Kim, and B. Song, Diamond turning of large off-axis aspheric mirrors using a fast tool servo with on-machine measurement, Journal of Materials Processing Technology, vol.146, issue.3, pp.349-55, 2004.
DOI : 10.1016/j.jmatprotec.2003.11.028

P. Lancaster, Error analysis for the Newton-Raphson method, Numerische Mathematik, vol.9, issue.1, pp.55-68, 1966.
DOI : 10.1007/BF02165230

E. Süli and D. Mayers, An introduction to numerical analysis, 2003.
DOI : 10.1017/CBO9780511801181

M. Transtrum and J. Sethna, Improvements to the Levenberg-Marquardt algorithm for nonlinear least-squares minimization, 2013.

C. Shakarji, Least-squares fitting algorithms of the NIST algorithm testing system, Journal of Research of the National Institute of Standards and Technology, vol.103, issue.6, pp.633-674, 1998.
DOI : 10.6028/jres.103.043

J. Nocedal and S. Wright, Numerical optimization, 1999.
DOI : 10.1007/b98874

D. Liu and J. Nocedal, On the limited memory BFGS method for large scale optimization, Mathematical Programming, vol.32, issue.2, pp.503-531, 1989.
DOI : 10.1007/BF01589116

T. Speer, M. Kuppe, and J. Hoschek, Global reparametrization for curve approximation, Computer Aided Geometric Design, vol.15, issue.9, pp.869-77, 1998.
DOI : 10.1016/S0167-8396(98)00024-7

Y. Lin, K. Damodharan, and C. Shakarji, Standardised Reference Data Sets Generation for Coordinate Measuring Machine (CMM) Software Assessment, The International Journal of Advanced Manufacturing Technology, vol.18, issue.11, pp.819-849, 2001.
DOI : 10.1007/s001700170007

N. El-hayek, H. Nouira, N. Anwer, M. Damak, and O. Gibaru, Reconstruction of freeform surfaces for metrology, Journal of Physics: Conference Series, vol.483, 2013.
DOI : 10.1088/1742-6596/483/1/012003

URL : https://hal.archives-ouvertes.fr/hal-01069726

E. Marsh, Precision spindle metrology, 2010.
DOI : 10.1115/1.2944274

X. Zhang, X. Jiang, and P. Scott, A minimax fitting algorithm for ultra-precision aspheric surfaces, Journal of Physics: Conference Series, vol.311, pp.12-31, 2011.
DOI : 10.1088/1742-6596/311/1/012031

R. Henselman, Non-contact measurement machine for freeform optics. Eindhoven, 2009.

E. Davis and J. Roblee, Comparison of freeform manufacturing techniques in the production of monolithic lens arrays, Optical Manufacturing and Testing VIII, 2009.
DOI : 10.1117/12.824451.3

N. El-hayek, H. Nouira, N. Anwer, O. Gibaru, and M. Damak, Comparison of tactile and chromatic confocal measurements of aspherical lenses for form metrology, Int J Precis Eng Manuf, vol.15, pp.1-9, 2014.

H. Nouira, J. Salgado, N. El-hayek, S. Ducourtieux, A. Delvallée et al., Setup of a high-precision profilometer and comparison of tactile and optical, Meas Sci Technol, vol.25, 2014.