Automatic minimal partitioning method guaranteeing machining efficiency of free-form surfaces using a toroidal tool

Piegl L, Tiller W (2003) The NURBS Book, Springer

Loney GC, Ozsoy TM (1987) NC machining of free form surfaces. Comput Aided Des 19:85–90

Yu D, Duan Z, Zhang W, Liu J (1996) Flat-end cutter path generation for a sculptured surface for 3-axes NC machining. J Mater Process Technol 57:65–69

Zhu C (1993) How to obtain a good surface finish in nc machining of free-formed surfaces. Computer in Industry 23:227–233

Sun YW, Guo DM, Wang HX (2006) Iso-parametric tool path generation from triangular meshes for free-form surface machining. Int J Adv Manuf Technol 28:721–726

Kim BH, Choi BK (2000) Guide surface based tool path generation in 3-axis milling: an extension of the guide plane method. Computer Aided Design 32:191–199

Barnhill RE, Farin G, Jordan M, Piper BR (1987) Surface/surface intersection. Computer Aided Geometric Design 4:3–16

Barnhill RE, Kersey SN (1990) A marching method for parametric surface/surface intersection. Computer Aided Geometric Design 7:257–280

Choi BK, Lee CS, Hwang JS, Jun CS (1988) Compound surface modelling and machining. Computer Aided Design 20:127–136

Huang Y, Oliver JH (1994) Non constant parameter NC tool path generation on sculptured surfaces. Int J Adv Manuf Technol 9:281–290

Choi BK, Kim DH, Jerard RB (1997) C-space approach to tool-path generation for die and mould machining. Comput Aided Des 29(9):657–669

Hwang JS, Chang TC (1998) Three-axis machining of compound surfaces using flat and filleted endmills. Comput Aided Des 24(12):641–647

Ding S, Mannan MA, Poo AN, Yang DCH, Han Z (2003) Adaptive iso-planar tool path generation for machining of free-form surfaces. Comput Aided Des 35(2):141–153

Ding S, Mannan MA, Poo AN, Yang DCH, Han Z (2005) The implementation of adaptive isoplanar tool path generation for the machining of free-form surfaces. Int J Adv Manuf Technol 26:852–860

Sarma R, Dutta D (1997) The geometry and generation of NC tool paths. J Mech Des Trans ASME 119(2):253–258

Suresh K, Yang DCH (1994) Constant scallop-height machining of free-form surfaces. J Eng Ind 116(2):253–259

Feng HY, Li H (2002) Constant scallop height tool path generation for three-axis sculptured surface machining. Comput Aided Des 34:647–654

Tournier C (2001) Contribution à la conception des formes complexes: La surface d’usinage en fraisage 5 axes isocrête. Thèse de doctorat École normale supérieure de Cachan. Disponible sur https://tel.archives-ouvertes.fr/tel-00133942/

Senatore Johanna (2007) Analyse qualitative des paramètres influents pour la planification des trajectoires sur surfaces gauches. Thèse de doctorat Université de Toulouse. Disponible sur https://hal.archives-ouvertes.fr/tel-01930816/

Vickers GW, Quan KW (1989) Ball mill versus end-mill for curved surface machining. ASME Journal of Engineering for Industry 111:22–26

Chen ZC, Vickers GW, Dong Z (2013) Integrated steepest-directed and iso-cusped toolpath generation for three-axis CNC machining of sculptured parts. J Manuf Syst 22(3):190–201

Chen ZC, Vickers GW, Dong Z (2004) A new principle of CNC tool path planning for three-axis sculptured part machining—a steepest-ascending tool path. J Manuf Sci Eng 126:515–523

Chen ZC, Fu Q (2007) A practical approach to generating steepest ascent tool paths for three-axis finish milling of compound NURBS surfaces. Comput Aided Des 39:964–974

Chen Z, Dong Z, Vickers GW (2003) Most efficient tool feed direction in three-axis CNC machining. Journal of Integrated Manufacturing Systems 14:554–566

Lee YS, Ji H (1997) Surface interrogation and machining strip evaluation for 5-axis, CNC die and mold machining. Int J Prod Res 35(1):225–252

Lee YS (1998) Non-isoparametric tool path planning by machining strip evaluation, for 5-axis sculptured surface machining. Comput Aided Des 30(7):559–570

Chiou CJ, Lee YS (2002) A machining potential field approach to tool path generation for multi-axis sculptured surface machining. Comput Aided Des 34(5):357–371

Liu X, Li Y, Ma S, Lee CH (2015) A tool path generation method for freeform surface machining by introducing the tensor property of machining strip width. Comput Aided Des 66:1–13

Kumazawa GH, Feng HY, Fard MJB (2015) Preferred feed direction field: a new tool path generation method for efficient sculptured surface machining. Comput Aided Des 67:1–12

Hu P, Chen L, Tang K (2017) Efficiency-optimal iso-planar tool path generation for five-axis finishing machining of freeform surfaces. Comput Aided Des 83:33–50

Roman FA (2007) Surface partitioning for 3+2-axis machining Waterloo, ON, Canada: University of Waterloo

Pessoles X, Landon Y, Mousseigne M, Rubio W (2010) Simulation of the behaviour of CNC machine-tools in three-axis milling of sculptured surfaces. Int J Mach Mach Mater 8(3/4):326–338

Segonds S, Seitier P, Bordreuil C, Bugarin F, Rubio W, Redonnet JM (2017) An analytical model taking feed rate effect into consideration for scallop height calculation in milling with torus-end cutter. J Intell Manuf 30:1881–1893

Senatore J, Segonds S, Rubio W, Dessein G (2012) Correlation between machining direction, cutter geometry and step-over distance in 3-axis milling: application to milling by zones. Comput Aided Des 44:1151–1160

Redonnet JM, Djebali S, Segonds S, Senatore J, Rubio W (2013) Study of the effective cutter radius for end milling of free-form surfaces using a torus milling cutter. Comput Aided Des 45(6):951–962

Djebali S, Segonds S, Redonnet JM, Rubio W (2015) Using the global optimization methods to minimize the machining path length of the free-form surfaces in 3-axis milling. Int J Prod Res 53(17):5296–5309