Subdivision surface-based finish machining

References

• Amresh , A , Farin , G and Razdan , A . 2003 . “ Adaptive subdivision schemes for triangular meshes ” . In Hierarchical and Geometric Methods in Scientific Visualization , Edited by: Farin , G , Hamann , B and Hagen , H . 319 – 328 . Heidelberg, , Germany : Springer-Verlag .
   Google Scholar
• Austin , SP , Jerard , RB and Drysdale , RL . 1997 . Comparison of discretization algorithms for NURBS surfaces with application to numerically controlled machining . CAD , 29 : 71 – 83 .
   Web of Science ®Google Scholar
• Bentley , JL and Ottmann , TA . 1979 . Algorithms for reporting and counting geometric intersections . IEEE Trans. Comput. , C-28 : 643 – 647 .
   Web of Science ®Google Scholar
• Catmull , E and Clark , J . 1978 . Recursively generated B-Spline surfaces on arbitrary topological meshes . CAD , 10 : 350 – 355 .
   Web of Science ®Google Scholar
• Choi , BK , Lee , CS , Hwang , JS and Jun , CS . 1988 . Compound surface modelling and machining . CAD , 20 : 127 – 136 .
   Web of Science ®Google Scholar
• Choi , BK and Jun , CS . 1989 . Ball-end cutter interference avoidance in NC machining of sculptured surfaces . CAD , 21 : 371 – 378 .
   Web of Science ®Google Scholar
• Choi , BK , Kim , DH and Jerard , RB . 1997 . C-apace approach to tool-path generation for die and mould machining . CAD , 29 : 657 – 669 .
   Web of Science ®Google Scholar
• Choi , BK and Jeard , RB . 1998 . Sculptured Surface Machining, Theory and Application , Boston : Kluwer Academic Publishers .
   Google Scholar
• Cirak , F , Scott , MJ , Antonsson , EK , Ortiz , M and Schröder , P . 2002 . Integrated modelling, finite-element analysis, and engineering design for thin-shell structures using subdivision . CAD , 34 : 137 – 148 .
   Google Scholar
• Ding , S , Manan , MA , Poo , AN , Yang , DCH and Han , Z . 2003 . Adaptive iso-planar tool path generation for machining of free-form surfaces . CAD , 35 : 141 – 153 .
   Web of Science ®Google Scholar
• Dong , Z , Li , H and Vickers , GW . 1993 . Optimal rough machining of sculptured parts on a CNC milling machine . Trans. ASME, J. Eng. Indust. , 115 : 424 – 431 .
   Web of Science ®Google Scholar
• Doo , D and Sabin , M . 1978 . Behavior of recursive division surfaces near extraordinary points . CAD , 10 : 356 – 360 .
   Web of Science ®Google Scholar
• Duncan , JP and Mair , SG . 1983 . Sculptured Surfaces in Engineering and Medicine , New York : Cambridge University Press .
   Google Scholar
• Dyn , N , Levin , D and Gregory , JA . 1990 . A butterfly subdivision scheme for surface interpolation with tension control . ACM Trans. Graph. , 9 : 160 – 169 .
   Web of Science ®Google Scholar
• Flutter , A and Todd , J . 2001 . A machining strategy for toolmaking . CAD , 33 : 1009 – 1022 .
   Web of Science ®Google Scholar
• Fussell , BK , Jerard , RB and Hemmett , JG . 2003 . Modelling of cutting geometry and forces for five-axis sculptured surface machining . CAD , 35 : 333 – 346 .
   Web of Science ®Google Scholar
• Green , S , Turkiyyah , G and Storti , D . 2002 . Subdivision-based multilevel methods for large scale engineering simulation of thin shells . Proc. ACM Symp. Solid Model. Applic. 2002 , : 265 – 272 .
   Google Scholar
• Halstead , M , Kass , M and DeRose , T . 1993 . Efficient, fair interpolation using Catmull–Clark surfaces . Comput. Graph. Proc., ACM SIGGRAPH 93 , : 35 – 44 .
   Google Scholar
• Hatna , A and Grieve , B . 2000 . Cartesian machining versus parametric machining: a comparative study . Int. J. Prod. Res. , 38 : 3043 – 3065 .
   Web of Science ®Google Scholar
• Hwang , JS . 1992 . Interference-free tool-path generation in the NC machining of parametric compound surfaces . CAD , 24 : 667 – 676 .
   Web of Science ®Google Scholar
• Hwang , JS and Chang , TC . 1998 . Three-axis machining of compound surfaces using flat and filleted endmills . CAD , 30 : 641 – 647 .
   Web of Science ®Google Scholar
• Inui , M . 2003 . Fast inverse offset computation using polygon rendering hardware . CAD , 35 : 191 – 201 .
   Web of Science ®Google Scholar
• Jensen , CG and Anderson , D.C . 1996 . A review of numerically controlled methods for finish-sculptured-surface machining . IIE Trans. , 28 : 30 – 39 .
   Web of Science ®Google Scholar
• Jun , CS , Kim , DS and Park , S . 2002 . A new curve-based approach to polyhedral machining . CAD , 34 : 379 – 389 .
   Web of Science ®Google Scholar
• Jun , CS , Cha , K and Lee , YS . 2003 . Optimizing tool orientations for five-axis machining by configuration-space search method . CAD , 35 : 549 – 566 .
   Web of Science ®Google Scholar
• Kim , KI and Kim , K . 1995 . A new machining strategy for sculptured surface using offset surface . Int. J. Prod. Res. , 33 : 1683 – 1697 .
   Web of Science ®Google Scholar
• Kobbelt , L . 1996 . Interpolatory subdivision on open quadrilateral nest with arbitrary topology . Proc. Eurograph. 1996 , : 409 – 420 .
   Google Scholar
• Kuragano , J , Suzuki , H and Kimura , F . 2001 . Generation of NC tool path for subdivision surfaces . Proc. CAD/Graphics’2001, August 22–24, 2001, Kunming, China , : 676 – 682 .
   Google Scholar
• Labsik , U and Greiner , G . 2000 . Interpolatory Subdivision . Comput. Graph. Forum , 19 : C-131 – C-138 .
   Google Scholar
• Lai , JY and Wang , D.J . 1994 . A strategy for finish cutting path generation of compound surfaces . Comput. Indust. , 25 : 189 – 209 .
   Web of Science ®Google Scholar
• Loney , GC and Ozsoy , T.M . 1987 . NC machining of free-form surfaces . CAD , 19 : 85 – 90 .
   Web of Science ®Google Scholar
• Loop , C . 1987 . “ Smooth subdivision for surfaces based on triangles ” . USA : University of Utah . Master's thesis
   Google Scholar
• Lu , CJ . 2004 . “ Subdivision surface based design and manufacturing integration study ” . USA : Tennessee Technological University . PhD dissertation
   Google Scholar
• Mueller , H and Jaeschke , R . 1998 . Adaptive subdivision curves and surfaces . Proc. Comput. Graph. Int. ’98 , : 48 – 58 .
   Google Scholar
• Sun , GP , Sequin , CH and Wright , PK . 2001 . Operation decomposition for freeform surface features in process planning . CAD , 33 : 621 – 636 .
   Web of Science ®Google Scholar
• Tao , SB and Ting , KL . 2001 . Unified rough cutting tool path generation for sculptured surface machining . Int. J. Prod. Res. , 39 : 2973 – 2989 .
   Web of Science ®Google Scholar
• Xu , XJ , Bradley , C , Zhang , YF , Loh , HT and Wong , YS . 2002 . Tool-path generation for five-axis machining of free-form surfaces based on accessibility analysis . Int. J. Prod. Res. , 40 : 3253 – 3274 .
   Web of Science ®Google Scholar
• Xu , Z and Kondo , K . 1999 . Adaptive refinements in subdivision surfaces . Eurographics ’99 , : 239 – 242 . (short papers and demos)
   Google Scholar
• Zorin , D , Schröder , P and Sweldens , W . 1996 . Interpolating subdivision for meshes with arbitrary topology . Comput. Graph. Proc. (SIGGRAPH 96) , : 189 – 192 .
   Google Scholar
• Zorin , D . 2000 . SIGGRAPH ’2000 Course Notes . Subdivision for Modelling and Animation ,
   Google Scholar