Ex Parte Grandine et al - Page 1




             The opinion in support of the decision being entered today was not written                               
                    for publication and is not binding precedent of the Board.                                        

                              UNITED STATES PATENT AND TRADEMARK OFFICE                                               
                                                 _______________                                                      
                                  BEFORE THE BOARD OF PATENT APPEALS                                                  
                                              AND INTERFERENCES                                                       
                                                 _______________                                                      
                            Ex parte THOMAS A. GRANDINE and THOMAS A. HOGAN                                           
                                                 _______________                                                      
                                               Appeal No. 2006-2963                                                   
                                            Application No. 10/309,969                                                
                                                 _______________                                                      
                                                     ON BRIEF                                                         
                                                 _______________                                                      

             Before HAIRSTON, JERRY SMITH, and BLANKENSHIP, Administrative Patent Judges.                             
             JERRY SMITH, Administrative Patent Judge.                                                                



                                            DECISION ON APPEAL                                                        
                    This is a decision on the appeal under 35 U.S.C. § 134 from the Examiner’s                        
             rejection of claims 1-30.  Claims 31-33 have been indicated as containing allowable                      
             subject matter [Answer, page 3; Reply Brief, page 1].                                                    
             The disclosed invention pertains to modeling at least one section of a curve utilizing                   
             a quartic interpolation technique.  Each section can be modeled by initially providing a                 
             pair of positions of the curve section including associated directions and curvatures.                   
             Then, points b0, b1, b2, b3, and b4 are identified based upon the pair of positions and                  
             associated directions and curvatures.  A quartic interpolant is then determined over an                  






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