Ex parte VON SPRECKELSEN - Page 3




               Appeal No. 1997-1339                                                                                               
               Application 08/086,825                                                                                             



                                                           OPINION                                                                
                      We reverse the rejection of claims 17 through 31 under 35 U.S.C. § 101.                                     
                      Respective independent method claim 17 and apparatus claim 31 recite essentially                            
               the same subject matter.  Representative method claim 17 in its preamble sets forth a                              
               "method for producing a circular color distribution on a recording medium."  Data with                             
               respect to certain picture elements are stored and then certain operations, including                              
               mathematical operations, are set forth in the body of the claim with respect to these picture                      
               elements or pixels.  These include determining a center-to-center spacing of a center of a                         
               picture element on a recording medium.  Other operations with respect to these picture                             
               elements are set forth in the other steps and clauses of the claims on appeal.  Finally, the                       
               determined color values are employed "for point-by-point and                                                       
               line-by-line recording of the circular color distribution on the recording medium."                                
                      It is thus apparent that independent claims 17 and 31 do not per se recite                                  
               mathematical operations alone as a whole.  It is permitted to utilize or set forth                                 
               mathematical relationships in claims directed to processes and machines.  Here the                                 
               operations are upon pixels and their placement on a recording medium, which is clearly a                           
               practical application.                                                                                             
                      The examiner's reasoning in part was based upon the so-called Freeman-Walter-                               
               Abele test.  However, the Court of Appeals for the Federal Circuit recently indicated in                           

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