Chiou, C. J., and Lee, Y. S., 2002, “A Machining Potential Field Approach to Tool Path Generation for Multi-Axis Sculptured Surface Machining,” Comput.-Aided Des.

[CrossRef], 34 , pp. 357–371.

Simeon, T., Leroy, S., and Laumond, J., 2002, “Path Coordination for Multiple Mobile Robots: A Resolution-Complete Algorithm,” IEEE Trans. Rob. Autom., 18 (1), pp. 42–49.

Dachille, I., Qin, H., and Kaufman, A., 2001, “A Novel Haptic-Based Interface and Sculpting System for Physics-Based Geometric Design,” Comput.-Aided Des.

[CrossRef], 33 , pp. 403–420.

Hook, V., 1986, “Real-time Shaded NC Milling Display,” "*SIGGRAPH ’86, Computer Graphics Proceedings*", pp. 57–66.

Jerard, B., Drysdale, R., Hauck, K., Schaudt, B., and Magewick, J., 1989, “Methods for Detecting Errors in Sculptured Surface Machining,” IEEE Comput. Graphics Appl.

[CrossRef], 9 (1), pp. 26–39.

Xavier, P., 1997, “Fast Swept-Volume Distance for Robust Collision Detection,” "*Proceedings of IEEE International Conference on Robotics and Automation*", pp. 1162–1169.

Basdogan, C., and Srinivasan, M., 2001, “Haptic Rendering in Virtual Environments,” "*Handbook of Virtual Environments*", K.M.Stanney, ed., Lowrenece Erlbaum Associates, Mahwah, NJ, pp. 117–134.

Zhu, W., and Lee, Y. S., 2004, “Five-Axis Pencil-Cut Planning and Virtual Prototyping with 5-Degree-Of-Freedom Haptic Interface,” Comput.-Aided Des., 36 (13), pp. 1295–1307.

Kim, K. I., Chon, Y. J., and Kim, K., 1996, “Simulation and Verification of CNC Tool Path for Sculptured Surfaces,” Trans. NAMRI/SME, 24 , pp. 69–74.

Waurzyniak, P., 2001, “Simulations Speed Production,” Manuf. Eng., 126 (4), pp. 36–46.

Wang, W. P., and Wang, K. K., 1986, “Geometric Modeling for Swept Volume of Moving Solids,” IEEE Comput. Graphics Appl., 6 (12), pp. 8–17.

Fussell, B., Jerard, R., and Hemmet, J., 2003, “Modeling of Cutting Geometry and Forces for 5-Axis Sculptured Surface Machining,” Comput.-Aided Des., 35 (4), pp. 333–346.

Benouamer, M., and Michelucci, D., 1997, “Bridging the Gap Between CSG and Brep Via a Triple Ray Representation,” "*ACM Symposium on Solid Modeling and Applications ’97*", Atlanta, pp. 68–79.

Sutton, P., and Hansen, C., 2000, “Accelerated Isosurface Extraction in Time-Varying Fields,” IEEE Trans. Vis. Comput. Graph., 6 (2), pp. 98–107.

Huang, J., Yagel, R., Filippov, V., and Kurzion, Y., 1998, “An Accurate Method for Voxelizing Polygon Meshes,” "*ACM Symposium on Volume Visualization*", pp. 119–126.

Peng, X., Zhang, W., Asam, S., and Leu, M., “Surface Reconstruction from Dexel Data for Virtual Sculpturing,” "*Proceedings of IMECE04*", Anaheim, CA, ASME, New York.

Zhu, W., and Lee, Y-S., 2005, “A Visibility Sphere Marching Algorithm of Constructing Polyhedral Models for Haptic Sculpting and Product Prototyping,” Rob. Comput.-Integr. Manufact., 21 (1), pp. 19–36.

Kobbelt, L., Botsch, M., Schwanecke, U., and Seidel, H., 2001, “Feature Sensitive Surface Extraction from Volume Data,” "*SIGGRAPH ’01, Computer Graphics Proceedings*", pp. 57–66.

Lorensen, W., and Cline, H., 1987, “Marching Cubes: A High Resolution 3D Surface Construction Algorithm,” Siggraph ’87 Conf. Proc. ACM Computer Graphics, 21 (4), pp. 163–170.

Chernyaev, E., 1995, “Marching Cubes 33: Construction of Topologically Correct Isosurfaces,” Technical Report CERN CN 95-17, CERN.

Montaniz, C., Scateni, R., and Scopignoy, R., 1994, “Discretized Marching Cubes,” "*Proceedings of Visualization ’94*", IEEE Computer Society Press, New York, pp. 281–287.

Nielson, G., and Hamann, B., 1992, “The Asymptotic Decider: Resolving the Ambiguity in Marching Cubes,” "*Proc. IEEE Visualization ’92*", pp. 83–91.

Montani, C., Scateni, R., and Scopigno, R., 1994, “A Modified Look-Up Table for Implicit Disambiguation of Marching Cubes,” Piping Eng., 10 , pp. 353–355.

Natarajan, B. K., 1994, “On Generating Topologically Consistent Iso-Surfaces from Uniform Samples,” Piping Eng., 11 (1), pp. 52–62.

Allamandri, F., Cignoni, P., Montani, C., and Scopigno, R., 1998, “Adaptively Adjusting Marching Cubes Output to Fit a Trilinear Reconstruction Filter,” "*Visualization in Scientific Computing ’98*", Proceedings of the Eurographics, pp. 25–34.

Bloomenthal, J., 1994, “An Implicit Surface Polygonizer,” "*Graphics Gems IV*", Academic Press, New York, pp. 324–349.

Cignoni, P., Marino, P., Montani, C., Puppo, E., and Scopigno, R., 1997, “Speeding Up Isosurface Extraction Using Interval Tree,” IEEE Trans. Vis. Comput. Graph., 3 (2), pp. 158–169.

Kral, I. H., 1986, "*Numerical Control Programming in APT*", Prentice-Hall, Englewood Cliffs, NJ.

Mahvash, M., Hayward, V., and Lloyd, J., 2002, “Haptic Rendering of Tool Contact,” "*Proceedings of Eurohaptics*", pp. 110–115.

Craig, J., 1989, "*Introduction to Robotics: Mechanics and Control*", 2nd ed., Addison-Wesley, Reading, MA.

Sacks, E., 2003, “Path Planning for Planar Articulated Robots Using Configuration Spaces and Compliant Motion,” IEEE Trans. Rob. Autom., 19 (3), pp. 381–390.

Frey, D. D., Otto, K. N., and Pflager, W., 1997, “Swept Envelopes of Cutting Tools in Integrated Machine and Workpiece Error Budgeting,” CIRP Ann., 46 (1), pp. 475–480.

Blackmore, D., Leu, M. C., and Wang, L. P., 1997, “The Swept-Envelope Differential Equation Algorithm and Its Application to NC Machining Verification,” Comput.-Aided Des.

[CrossRef], 29 (9), pp. 629–638.

Chiou, C. J., and Lee, Y. S., 1999, “A Shape-Generating Approach for Multi-Axis Machining G-Buffer Models,” Comput.-Aided Des.

[CrossRef], 31 (12), pp. 761–776.

Blackmore, D., and Leu, M. C., 1992, “Analysis of Swept Volume via Lie Group and Differential Equations,” Int. J. Robot. Res., 11 (6), pp. 516–537.

Ganter, M. A., and Uicker, J. J., 1986, “Dynamic Collision Detection Using Swept Solids,” ASME J. Mech., Transm., Autom. Des.108 (4), pp. 549–555.