Ex parte RAO - Page 10




          Appeal No. 1996-4030                                                        
          Application 08/104,462                                                      



                    Turning to Huttenlocher, we find on page 209 that                 
          Huttenlocher does suggest that there are possible                           
          transformations that were computed by matching each group of                
          four connected image vertexes to each group of four connected               
          model vertexes.  Turning to Horaud, we find that Horaud                     
          teaches on page 501, first column, that they have derived an                
          analytic solution or a case of four non-coplanar points,                    
          namely, a biquadratic polynomial in one unknown.  Horaud                    
          further teaches that it is important to find a closed form                  
          solution for four non-coplanar points for several reasons.                  
          First, they provide fewer solutions than three points.                      
          Second, the solutions are more stable when the points are not               
          coplanar, because they do not depend on relative orientation                
          of the image plane with respect to the scene plane containing               
          the points.  Third, the computation of such solutions is fast               
          and, therefore, it can be included in a runtime visual                      
          process.                                                                    






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