Ex parte KOYAMADA et al. - Page 4




               Appeal No. 96-3254                                                                                                   
               Application 07/991,019                                                                                               


                       In the instant case, we find that the examiner has failed to establish a prima facie case of                 

               obviousness.                                                                                                         



                       Independent claim 1 requires, inter alia, “extracting a group of concentric spherical isosurfaces            

               containing sampling points positioned in equal intervals along a viewing ray originating from a viewing              

               point.”                                                                                                              



                       The examiner relies on the teaching of Foley, regarding “marching-cubes algorithm,” at page                  

               1035 thereof, for the extraction of surfaces “at equal intervals,” explaining that the equal dimensions of           

               each cube means that the surfaces extracted from within the cubes are at equal intervals as measured                 

               relative to the precision of the grid containing the cubes [answer-page 3].  We are not convinced by the             

               examiner’s rationale that Foley describes the extraction of a group of surfaces containing sampling                  

               points positioned in “equal intervals” along a viewing ray, as claimed.  Just because cubes may have                 

               equal dimensions, or outside surfaces, we are not convinced that this would lead to surfaces extracted               

               from within those cubes being at “equal intervals” relative to the precision of the grid, as the examiner            

               argues.  It would appear to us that surfaces extracted from within the cubes may be of varying                       

               dimensions and need not be along any particular viewing ray.  Contrary to what the examiner appears                  

               to be contending, the “surfaces” extracted from within an object are not, necessarily, the surface, or               


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