Finding mold removal directions using graphics hardware

                                      Examples of finding multiple castable directions

           block with undercut              Part with undercut                         
     Number of faces - 28                                                 Number of faces - 40
   Number of great circles  on Gaussian sphere - 128        Number of great circles on Gaussian sphere - 258
   Number of  directions checked - 6085                          Number of directions checked -  17,418
   Number of castable directions found - 1                      Number of castable directions found  - 2
   Time - 2.58 seconds                                                   Time - 6.89 seconds
                                       




         cylinder                                                      rook                                                                                                                                                              
          Number of Faces -  80                                              Number of faces - 328
  Number of great circles Gaussian sphere -  863            Number of great circles on Gaussian sphere - 1832
  Number of  directions checked - 182,904                     Number of directions checked - 476,646
  Number of castable directions found - 34,758              Number of castable directions found - 120,299

  Time - 1 min 18 seconds                                           Time - 3 min 20 seconds

   

                                                                           
                                        parts with undercut                                  
                                                      Number of Faces -  236 
                                                      Number of great circles on Gaussian sphere - 1642
                                                      Number of directions checked - 382,387
                                                      Number of castable directions found - 0
                                                      Time - 2 min 26 seconds

                                                                   
  An example of interactively detecting undercuts while changing part geometry





                        casing

                                                Number of faces - 20,086
Intended mold removal directions are shown by  arrows. Direction of cylindrical bosses in the lower-
left region of the image makes the part non-castable in the intended direction.
                                                    


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Page updated on 05/30/2004.