81 82 83 84 18. PROJECTION OF SUBREFLECTOR Fig. 7. Local interpolation.word size (36 bits) would not allow a sufficiently small (AO, A4) to be used so that the second derivatives could be accurately found from the quadratic expression. The averaging method worked successfully.A quadratic expression was used instead of a higher order local expression because of our required "maximum speed possible" computation. Furthermore, we required our surface to return (X, Y, Z, , 2,; Z , , , Zyy) data from a (e, q5) input. The required computation is fast and simple for a quadratic expression, but the computation rapidly becomes more complex and time-consuming as the order of 120 110 too 90
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