Y. Altintas, Manufacturing automation: metal cutting mechanics, machine tool vibrations, and CNC design, 2000.
DOI : 10.1017/CBO9780511843723

K. Erkorkmaz and Y. Altintas, High speed CNC system design. Part I: jerk limited trajectory generation and quintic spline interpolation, International Journal of Machine Tools and Manufacture, vol.41, issue.9, pp.1323-1345, 2001.
DOI : 10.1016/S0890-6955(01)00002-5

A. Dugas, J. Lee, and J. Hascoët, High speed milling?solid simulation and machine limits (eds) Integrated design and manufacturing in mechanical engineering, pp.287-294, 2002.

R. Farouki, Y. Tsai, and C. Wilson, Physical constraints on feedrates and feed accelerations along curved tool paths, Computer Aided Geometric Design, vol.17, issue.4, pp.337-359, 2000.
DOI : 10.1016/S0167-8396(00)00004-2

S. Bloch, E. Deneuville, and L. Tan, Innovative feed rate optimisation technique, Proceedings of the 3rd International Conference on Metal Cutting and High Speed Machining, pp.119-136, 2002.

V. Pateloup, E. Duc, and P. Ray, Corner optimization for pocket machining, International Journal of Machine Tools and Manufacture, vol.44, issue.12-13, pp.12-131343, 2004.
DOI : 10.1016/j.ijmachtools.2004.04.011

M. Monreal and C. Rodriguez, Influence of tool path strategy on the cycle time of high-speed milling, Computer-Aided Design, vol.35, issue.4, pp.395-401, 2003.
DOI : 10.1016/S0010-4485(02)00060-X

. Siemens, Description of functions Sinumerik 840D/840Di/ 810D: Basic Machine Available online at http://www.automation. siemens.com/doconweb Description of functions. Sinumerik 840D/840Di/ 810D: Special Functions, Siemens, vol.9, 2004.

S. Timar, R. Farouki, T. Smith, and C. Boyadjieff, Algorithms for time???optimal control of CNC machines along curved tool paths, Robotics and Computer-Integrated Manufacturing, vol.21, issue.1, pp.37-53, 2005.
DOI : 10.1016/j.rcim.2004.05.004

Y. Lee and J. H. , Surface interrogation and machining strip evaluation for 5-axis CNC die and mold machining, International Journal of Production Research, vol.35, issue.1, pp.225-252, 1997.
DOI : 10.1080/002075497196064

C. Chiou and Y. Lee, A machining potential field approach to tool path generation for multi-axis sculptured surface machining, Computer-Aided Design, vol.34, issue.5, pp.357-371, 2002.
DOI : 10.1016/S0010-4485(01)00102-6

S. Radzevich, A closed-form solution to the problem of optimal tool-path generation for sculptured surface machining on multi-axis NC machine, Mathematical and Computer Modelling, vol.43, issue.3-4, pp.3-4222, 2006.
DOI : 10.1016/j.mcm.2004.08.014

Y. Lee, Non-isoparametric tool path planning by machining strip evaluation for 5-axis sculptured surface machining, Computer-Aided Design, vol.30, issue.7, pp.559-570, 1998.
DOI : 10.1016/S0010-4485(98)00822-7

C. Tournier and E. Duc, Iso-scallop tool path generation in 5-axis milling, The International Journal of Advanced Manufacturing Technology, vol.29, issue.9-10, pp.9-10867, 2005.
DOI : 10.1007/s00170-003-2054-7
URL : https://hal.archives-ouvertes.fr/hal-01076659

E. Bohez, Compensating for systematic errors in 5-axis NC machining, Computer-Aided Design, vol.34, issue.5, pp.391-403, 2002.
DOI : 10.1016/S0010-4485(01)00111-7

A. Affouard, E. Duc, C. Lartigue, J. Langeron, and P. Bourdet, Avoiding 5-axis singularities using tool path deformation, International Journal of Machine Tools and Manufacture, vol.44, issue.4, pp.415-425, 2004.
DOI : 10.1016/j.ijmachtools.2003.10.008

M. Munlin, S. Makhanov, and E. Bohez, Optimization of rotations of a five-axis milling machine near stationary points, Computer-Aided Design, vol.36, issue.12, pp.1117-1128, 2004.
DOI : 10.1016/S0010-4485(03)00164-7

T. Kim and S. Sarma, Toolpath generation along directions of maximum kinematic performance; a first cut at machine-optimal paths, Computer-Aided Design, vol.34, issue.6, pp.453-468, 2002.
DOI : 10.1016/S0010-4485(01)00116-6

Y. Jung, D. Lee, J. Kim, and H. Mok, NC post-processor for 5-axis milling machine of table-rotating/tilting type, Journal of Materials Processing Technology, vol.130, issue.131, pp.641-646, 2002.
DOI : 10.1016/S0924-0136(02)00725-2

S. Nam and M. Yang, A study on a generalized parametric interpolator with real-time jerk-limited acceleration, Computer-Aided Design, vol.36, issue.1, pp.27-36, 2004.
DOI : 10.1016/S0010-4485(03)00066-6

C. Tournier, S. Lavernhe, and C. Lartigue, Five-axis high speed milling optimization, Proceedings of the 4th International Conference on Integrated Design and Production (CPI 2005), 2005.

C. Lartigue, C. Tournier, M. Ritou, and D. Dumur, High-Performance NC for HSM by means of Polynomial Trajectories, CIRP Annals - Manufacturing Technology, vol.53, issue.1, pp.317-320, 2004.
DOI : 10.1016/S0007-8506(07)60706-9

S. Lavernhe, A. Rao, and R. Sarma, Prise en compte des contraintes associées au couple MO-CN en génération de trajectoires 5 axes UGV On local gouging in five-axis sculptured surface machining using flat-end tools, Computer Aided Design, vol.32, issue.1, pp.409-429, 2000.

Y. Altintas, Manufacturing Automation: Metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design, Applied Mechanics Reviews, vol.54, issue.5, 2000.
DOI : 10.1115/1.1399383

A. Dugas, J. Lee, and J. Hascoët, High Speed Milling?Solid simulation and machine limits In: Integrated design and manufacturing in mechanical engineering, pp.287-94, 2002.

S. Lavernhe, C. Tournier, and C. Lartigue, Kinematical performance prediction in multi-axis machining for process planning optimization, The International Journal of Advanced Manufacturing Technology, vol.53, issue.1, pp.5-6, 2008.
DOI : 10.1007/s00170-007-1001-4
URL : https://hal.archives-ouvertes.fr/hal-00373706

S. Lavernhe, C. Tournier, and C. Lartigue, Model for performance prediction in multi-axis machining, CIRP 2nd international conference high performance cutting, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00999720

E. Duc, C. Lartigue, C. Tournier, and P. Bourdet, A New Concept for the Design and the Manufacturing of Free-Form Surfaces: The Machining Surface, CIRP Annals - Manufacturing Technology, vol.48, issue.1, pp.103-109, 1999.
DOI : 10.1016/S0007-8506(07)63141-2

Y. Lee, Admissible tool orientation control of gouging avoidance for 5-axis complex surface machining, Computer-Aided Design, vol.29, issue.7, pp.507-528, 1997.
DOI : 10.1016/S0010-4485(97)00002-X

J. Yoon, H. Pottmann, and Y. Lee, Locally optimal cutting positions for 5-axis sculptured surface machining, Computer-Aided Design, vol.35, issue.1, pp.69-81, 2003.
DOI : 10.1016/S0010-4485(01)00176-2

M. Ho, Y. Hwang, and C. Hu, Five-axis tool orientation smoothing using quaternion interpolation algorithm, International Journal of Machine Tools and Manufacture, vol.43, issue.12, pp.1259-67, 2003.
DOI : 10.1016/S0890-6955(03)00107-X

C. Jun, K. Cha, and Y. Lee, Optimizing tool orientations for 5-axis machining by configuration-space search method, Computer-Aided Design, vol.35, issue.6, pp.549-66, 2003.
DOI : 10.1016/S0010-4485(02)00077-5

R. Fleisig and A. Spence, A constant feed and reduced angular acceleration interpolation algorithm for multi-axis machining, Computer-Aided Design, vol.33, issue.1, pp.1-15, 2001.
DOI : 10.1016/S0010-4485(00)00049-X

N. Wang and K. Tang, Automatic generation of gouge-free and angular-velocity-compliant five-axis toolpath, Computer-Aided Design, vol.39, issue.10, pp.841-52, 2007.
DOI : 10.1016/j.cad.2007.04.003

E. Bohez, Compensating for systematic errors in 5-axis NC machining, Computer-Aided Design, vol.34, issue.5, pp.391-403, 2002.
DOI : 10.1016/S0010-4485(01)00111-7

M. Munlin, S. Makhanov, and E. Bohez, Optimization of rotations of a five-axis milling machine near stationary points, Computer-Aided Design, vol.36, issue.12, pp.1117-1145, 2004.
DOI : 10.1016/S0010-4485(03)00164-7

K. Sørby, Inverse kinematics of five-axis machines near singular configurations, International Journal of Machine Tools and Manufacture, vol.47, issue.2, pp.299-306, 2007.
DOI : 10.1016/j.ijmachtools.2006.03.011

S. Makhanov, Optimization and correction of the tool path of the five-axis milling machine, Mathematics and Computers in Simulation, vol.75, issue.5-6, pp.210-240, 2007.
DOI : 10.1016/j.matcom.2006.12.009

Y. Altintas and K. Erkorkmaz, Feedrate Optimization for Spline Interpolation In High Speed Machine Tools, CIRP Annals - Manufacturing Technology, vol.52, issue.1, pp.297-302, 2003.
DOI : 10.1016/S0007-8506(07)60588-5

B. Sencer, Y. Altintas, and E. Croft, Feed optimization for five-axis CNC machine tools with drive constraints, International Journal of Machine Tools and Manufacture, vol.48, issue.7-8, pp.7-8733, 2008.
DOI : 10.1016/j.ijmachtools.2008.01.002

L. López-de-lacalle, A. Lamikiz, J. Sánchez, and M. Salgado, Toolpath selection based on the minimum deflection cutting forces in the programming of complex surfaces milling, International Journal of Machine Tools and Manufacture, vol.47, issue.2, pp.388-400, 2007.
DOI : 10.1016/j.ijmachtools.2006.03.010

C. Tournier, E. Duc, C. Lartigue, and A. Contri, The Concept of the Machining Surface in 5-Axis Milling of Free-form Surfaces, pp.279-86, 2002.
DOI : 10.1007/978-94-015-9966-5_33
URL : https://hal.archives-ouvertes.fr/hal-01223061

. Siemens, Description of Functions ? Sinumerik 840D, 2004.

P. Mueller, STEP-NC new data interface for NC programming. STEP-NC News Letter1, 2000.

C. Lo, Efficient cutter-path planning for five-axis surface machining with a flat-end cutter, Computer-Aided Design, vol.31, issue.9, pp.557-66, 1999.
DOI : 10.1016/S0010-4485(99)00052-4

W. Anotaipaiboon, S. Makhanov, and E. Bohez, Optimal setup for five-axis machining, International Journal of Machine Tools and Manufacture, vol.46, issue.9, pp.964-77, 2006.
DOI : 10.1016/j.ijmachtools.2005.07.046

]. H. Tonshoff and N. Rackow, Optimal tool positioning for five-axis flank milling of arbitrary shaped surfaces, Annals of the German Academic Society for Production Engineering (WGP), vol.7, issue.1, pp.57-60, 2000.

F. Rehsteiner and H. Renker, Collision-Free Five-Axis Milling of Twisted Ruled Surfaces, CIRP Annals - Manufacturing Technology, vol.42, issue.1, pp.457-461, 1993.
DOI : 10.1016/S0007-8506(07)62485-8

C. Menzel, S. Bedi, and S. Mann, Triple tangent flank milling of ruled surfaces, Computer-Aided Design, vol.36, issue.3, pp.296-389, 2004.
DOI : 10.1016/S0010-4485(03)00118-0

W. Liu, Five-axis NC cylindrical milling of sculptured surfaces, Computer-Aided Design, vol.27, issue.12, pp.887-894, 1995.
DOI : 10.1016/0010-4485(95)00005-4

J. Redonnet, W. Rubio, and G. Dessein, Side milling of ruled surfaces: Optimum positioning of the milling cutter and calculation of interference, The International Journal of Advanced Manufacturing Technology, vol.119, issue.3, pp.459-465, 1998.
DOI : 10.1007/BF01351391
URL : https://hal.archives-ouvertes.fr/hal-01017618

F. Monies, J. Redonnet, W. Rubio, and P. Lagarrigue, Improved positioning of a conical mill for machining ruled surfaces: application to turbine blades, Proceedings of the Institution of Mechanical Engineers, pp.625-634, 2000.
DOI : 10.1243/0954405001518323

J. Senatore, F. Monies, J. Redonnet, and W. Rubio, Improved positioning for side milling of ruled surfaces: Analysis of the rotation axis's influence on machining error, International Journal of Machine Tools and Manufacture, vol.47, issue.6, pp.934-945, 2007.
DOI : 10.1016/j.ijmachtools.2006.07.008

S. Bedi, S. Mann, and C. Menzel, Flank milling with flat end milling cutters, Computer-Aided Design, vol.35, issue.3, pp.293-300, 2003.
DOI : 10.1016/S0010-4485(01)00213-5

J. Chiou, Accurate tool position for five-axis ruled surface machining by swept envelope approach, Computer-Aided Design, vol.36, issue.10, pp.967-974, 2004.
DOI : 10.1016/j.cad.2003.10.001

H. Gong, L. Cao, and J. Liu, Improved positioning of cylindrical cutter for flank milling ruled surfaces, Computer-Aided Design, vol.37, issue.12, pp.1205-1213, 2005.
DOI : 10.1016/j.cad.2004.11.006

C. Lartigue, E. Duc, and A. Affouard, Tool path deformation in 5-axis flank milling using envelope surface, Computer-Aided Design, vol.35, issue.4, pp.375-382, 2003.
DOI : 10.1016/S0010-4485(02)00058-1

P. Bourdet, L. Mathieu, C. Lartigue, and A. Ballu, The concept of small displacement torsor in metrology, Advanced Mathematical Tools in Metrology II, Series on advances in mathematics for applied sciences, pp.40-62, 1996.

L. Piegl and W. Tiller, The Nurbs Book, 1997.

K. Abdel-malek and H. Yeh, Geometric representation of the swept volume using Jacobian rank-deficiency conditions, Computer-Aided Design, vol.29, issue.6, pp.457-468, 1997.
DOI : 10.1016/S0010-4485(96)00097-8

J. Yang and K. Malek, Approximate swept volumes of NURBS surfaces or solids, Computer Aided Geometric Design, vol.22, issue.1, pp.1-26, 2005.
DOI : 10.1016/j.cagd.2004.08.002

C. Li, S. Mann, and S. Bedi, Error measurements for flank milling, Computer-Aided Design, vol.37, issue.14, pp.1459-1468, 2005.
DOI : 10.1016/j.cad.2005.02.014

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C : The Art of Scientific Computing, 1992.

A. Dugas, J. Lee, and J. Hascoet, An enhanced machining simulator with tool deflection error analysis, Journal of Manufacturing Systems, vol.21, issue.6, pp.451-564, 2003.
DOI : 10.1016/S0278-6125(02)80051-6

I. Faux and M. Pratt, Computational Geometry for Design and Manufacture, Mathematics and its Applications, 1979.

T. Vassilev, Fair interpolation and approximation of B-splines by energy minimization and points insertion, Computer-Aided Design, vol.28, issue.9, pp.753-760, 1996.
DOI : 10.1016/0010-4485(95)00087-9

X. Wang, F. Cheng, and B. Barsky, Energy and B-spline interproximation, Computer-Aided Design, vol.29, issue.7, pp.485-496, 1997.
DOI : 10.1016/S0010-4485(96)00087-5

J. Senatore, F. Monies, J. Redonnet, and W. Rubio, Analysis of improved positioning in five-axis ruled surface milling using envelope surface, Computer-Aided Design, vol.37, issue.10, pp.989-998, 2005.
DOI : 10.1016/j.cad.2004.09.002

W. Anotaipaiboon, S. S. Makhanov, and E. L. Bohez, Optimal setup for five-axis machining, International Journal of Machine Tools and Manufacture, vol.46, issue.9, pp.964-977, 2006.
DOI : 10.1016/j.ijmachtools.2005.07.046

P. Breteau, Towards an Approach for Rapid Copying of Free-Form Surfaces in 5-Axis Machining, 6th International Conference on Integrated Design and Manufacturing in Mechanical Engineering 17Á19 May, 2006.
DOI : 10.1007/978-1-4020-6761-7_24

C. Z. Chen, Z. Dong, and W. G. Vickers, Automated surface subdivision and tool path generation for -axis CNC machining of sculptured parts, Computers in Industry, vol.50, issue.3, pp.319-331, 2003.
DOI : 10.1016/S0166-3615(03)00019-8

K. L. Chui, W. K. Chiu, and K. M. Yu, Direct 5-axis tool-path generation from point cloud input using 3D biarc fitting, Robotics and Computer-Integrated Manufacturing, vol.24, issue.2, pp.270-286, 2008.
DOI : 10.1016/j.rcim.2006.11.004

H. Feng and Z. Teng, Iso-planar piecewise linear NC tool path generation from discrete measured data points, Computer-Aided Design, vol.37, issue.1, pp.55-64, 2005.
DOI : 10.1016/j.cad.2004.04.001

R. Jerard, Approximate methods for simulation and verification of numerically controlled machining programs. The Visual Computer, pp.329-348, 1989.

A. Lin and H. Liu, Automatic generation of NC cutter path from massive data points, Computer-Aided Design, vol.30, issue.1, pp.77-90, 1998.
DOI : 10.1016/S0010-4485(97)00066-3

D. S. Meek and D. J. Walton, On surface normal and Gaussian curvature approximations given data sampled from a smooth surface, Computer Aided Geometric Design, vol.17, issue.6, pp.521-543, 2000.
DOI : 10.1016/S0167-8396(00)00006-6

C. Mehdi-souzani, F. Thiébaut, and C. Lartigue, Scan Planning Strategy for a General Digitized Surface, Journal of Computing and Information Science in Engineering, vol.6, issue.4, pp.331-339, 2006.
DOI : 10.1115/1.2353853
URL : https://hal.archives-ouvertes.fr/hal-01226542

Y. A. Mir, J. R. Mayer, and C. Fortin, Tool path error prediction of a five-axis machine tool with geometric errors, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol.2, issue.6, pp.697-712, 2002.
DOI : 10.1243/0954405021520391

G. Osty, A. Contri, and E. Duc, Free-form copying from point clouds; A tool-path calculation method using B-Spline interpolation. RCFAO, Rapid Production, pp.15-367, 2000.

O. Yang, D. Van-nest, B. A. Feng, and H. , Determining gouge-free ball-end mills for 3D surface machining from point cloud data, Robotics and Computer-Integrated Manufacturing, vol.21, issue.4-5, pp.338-345, 2005.
DOI : 10.1016/j.rcim.2004.10.003

S. Park and S. Chung, Tool-path generation from measured data, Computer-Aided Design, vol.35, issue.5, pp.467-475, 2003.
DOI : 10.1016/S0010-4485(02)00070-2

J. C. Park, H. Shin, and B. K. Choi, Elliptic Gabriel graph for finding neighbors in a point set and its application to normal vector estimation, Computer-Aided Design, vol.38, issue.6, pp.38-619, 2006.
DOI : 10.1016/j.cad.2006.02.008

Y. H. Peng and W. Yin, Direct tool path regeneration for physical object modification from digitized points in reverse engineering, The International Journal of Advanced Manufacturing Technology, vol.20, issue.3, pp.1204-1211, 2007.
DOI : 10.1007/s00170-006-0562-y

H. Suzuki, Development of the CAD/CAM System based on parallel processing and inverse offset method, Transputing'91 Proceedings of the World Transputer user Group (WOTUG) Conference, 1991.

Z. Teng, H. Feng, and A. Azeem, Generating efficient tool paths from point cloud data via machining area segmentation, The International Journal of Advanced Manufacturing Technology, vol.118, issue.4, pp.254-260, 2006.
DOI : 10.1007/s00170-005-0081-2

T. Varady, R. R. Martin, and J. Cox, Reverse engineering of geometric models???an introduction, Computer-Aided Design, vol.29, issue.4, pp.255-268, 1997.
DOI : 10.1016/S0010-4485(96)00054-1

P. Virtual and J. Prototyping-griffits, Toolpath based on hilbert's curve, Computer-Aided Design, vol.26, pp.839-844, 1994.

I. Hilerio, T. Mathia, and C. Alepee, 3D measurements of the knee prosthesis surfaces applied in optimizing of manufacturing process, Wear, vol.257, issue.12, pp.1230-1234, 2004.
DOI : 10.1016/j.wear.2004.05.027

J. Huissoon, F. Ismail, A. Jafari, and S. Bedi, Automated Polishing of Die Steel Surfaces, The International Journal of Advanced Manufacturing Technology, vol.19, issue.4, pp.285-290, 2002.
DOI : 10.1007/s001700200036

S. Lavernhe, C. Tournier, and C. Lartigue, Kinematical performance prediction in multi-axis machining for process planning optimization, The International Journal of Advanced Manufacturing Technology, vol.53, issue.1, pp.534-544, 2008.
DOI : 10.1007/s00170-007-1001-4
URL : https://hal.archives-ouvertes.fr/hal-00373706

S. Lin and M. Wu, A study of the effects of polishing on material removal rate and non-uniformity. International Journals of Machine Tools and Manufacture 42, pp.99-103, 2002.

Y. Mizugaki and M. Sakamoto, Development of Metal-Mold Polishing Robot System with Contact Pressure Control Using CAD/CAM Data, CIRP Annals - Manufacturing Technology, vol.39, issue.1, pp.523-526, 1990.
DOI : 10.1016/S0007-8506(07)61111-1

Y. Mizugaki and M. Sakamoto, Fractal Path Generation for a Metal-Mold Polishing Robot System and Its Evaluation by the Operability, CIRP Annals - Manufacturing Technology, vol.41, issue.1, pp.531-534, 1992.
DOI : 10.1016/S0007-8506(07)61261-X

F. Nagata, Y. Kusumoto, Y. Fujimoto, and K. Watanabe, Robotic sanding system for new designed furniture with free-formed surface, Robotics and Computer-Integrated Manufacturing, vol.23, issue.4, pp.371-379, 2007.
DOI : 10.1016/j.rcim.2006.04.004

F. Preston, The theory and design of plate glass polishing machine, Journal of the Society of Glass Technology, vol.11, pp.214-256, 1927.

M. Rauch and J. Hascoet, Rough pocket milling with trochoidal and plunging strategies, International Journal of Machining and Machinability of Materials, vol.2, issue.2, pp.161-175, 2007.
DOI : 10.1504/IJMMM.2007.013780

A. Roswell, F. Xi, and G. Liu, Modelling and analysis of contact stress for automated polishing, International Journal of Machine Tools and Manufacture, vol.46, issue.3-4, pp.3-4, 2006.
DOI : 10.1016/j.ijmachtools.2005.05.006

B. Ryuh, S. Park, and G. R. Pennock, An automatic tool changer and integrated software for a robotic die polishing station. Mechanism and Machine Theory 41, pp.415-432, 2006.

H. Sagan, Space-Filling Curves, 1994.
DOI : 10.1007/978-1-4612-0871-6

A. Y. Suh, A. A. Polycarpou, and T. F. Conry, Detailed surface roughness characterization of engineering surfaces undergoing tribological testing leading to scuffing, Wear, vol.255, issue.1-6, pp.556-568, 2003.
DOI : 10.1016/S0043-1648(03)00224-2

H. Tam, O. H. Lui, and A. Mok, Robotic polishing of free-form surfaces using scanning paths, Journal of Materials Processing Technology, vol.95, issue.1-3, pp.191-200, 1999.
DOI : 10.1016/S0924-0136(99)00338-6

M. J. Tsai and J. F. Huang, Efficient automatic polishing process with a new compliant abrasive tool, The International Journal of Advanced Manufacturing Technology, vol.122, issue.2???3, pp.817-827, 2006.
DOI : 10.1007/s00170-005-0126-6

X. Wu, Y. Kita, and K. Ikoku, New polishing technology of free form surface by GC, Journal of Materials Processing Technology, vol.187, issue.188, pp.81-84, 2007.
DOI : 10.1016/j.jmatprotec.2006.11.218

R. Yates, A Handbook on Curves and Their Properties, 1952.