an absolute error value for a particular motion vector and the horizontal axis represent a spatial position x or y of that motion vector empty circle 310 denotes a field1 motion vector position and the corresponding ae field1 absolute error value the filled circle 320 denotes a field2 motion vector position and the corresponding ae field2 absolute error value to determine a frame motion vector using a weighted average of field motion vectors where the weighting is based on the absolute error values ae field1 and ae field2 the following equation is used equ3 referring again to fig3 a square shows a position of an approximated frame motion vector and corresponding ae frame absolute error value note that the position of the approximated frame motion vector is closer to the field1 motion vector since the field1 motion vector had a smaller absolute error value another possible technique for determining a motion vector for the frame would be to use a point that identifies the minimum sum of two numerical expressions that approximate the absolute error values for the field motion vectors to determine the minimum sum point 3 different field motion vectors with corresponding absolute errors ae are determined for each field in each dimension x and y one of the field motion vectors is the field motion vector with the minimum absolute error ae value and the other two are nearby neighbors as picked from the field estimation part the three selected field motion vectors and corresponding absolute errors ae are fitted into a simple numeric equation for an example this specification will use a quadratic equation however other possible numeric equations can be used fig4 illustrates a plot of two field vectors where three points have.