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  Freefrom Surface Region Optimization for Three- and Five-Axis Milling (1995) [3 citations — 2 self]

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by Gershon Elber
Comput. Aided Geom. Design
http://www.cs.utah.edu/research/projects/alpha1/papers/elber95b.ps.Z
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Abstract:

A regional optimization of automatically generated machining toolpath for computer based freeform mechanical models is considered in the framework of multi-axis (three to five) machining operations. Consider a trichotomy of an arbitrary freeform shaped surface into convex, concave and saddle-like regions. Saddle-like and concave regions can be milled using a ball end tool, in a 3- or a 5-axis mode. A subset of the convex regions can be machined faster and with a smaller scallop, using a flat end tool that is aligned with the normal of the surface, in 5-axis mode. A method to robustly detect and eliminate local gouging of the milling tool into the object is developed and demonstrated on an actual part. 1

Citations

299 Differential Geometry of Curves and Surfaces – Carmo, P - 1976
37 Free form surface analysis using a hybrid of symbolic and numeric computation – Elber - 1992
35 Comparison of Three Curve Intersection Algorithms – Sederberg, Parry - 1986
22 Curve intersection using b'ezier clipping – Sederberg, Nishita - 1990
21 Second order surface analysis using hybrid symbolic and numeric operators – ELBER, COHEN - 1993
16 Separating and intersecting spherical polygons: Computing machinability on three-, four-, and five-axis numerically controlled machines – Chen, Chou, et al. - 1993
15 NC machining with G-buffer method – Saito, Takahashi - 1991
9 Accessibility in 5-axis milling environment – Elber - 1994
8 Exact computation of gauss maps and visibility sets for freefrom surfaces – Elber, Cohen - 1994
8 Tool path generation for freeform surface models – Elber, Cohen - 1993
7 Solutions of tangential surface and curve intersections – Markot, Magedson - 1989
5 Scanline Rendering for 3-Axis NC Toolpath Generation, Simulation and Veri cation – Thomas - 1990
4 Cutter-location data optimization in 5-axis surface machining – Choi, Park, et al. - 1993