We'v already proposed Serial Multi-Point Method (SMPM) for surface profile measurement
1). This method is very powerful because the influences of the sensors head's fluctuations can be cancelled completely and the accuracy also can be improved with only increasing the number of sensors.
But, recursive solution, solution which gives the relationship between two measured results of surface profile before and after the one more step advance of the sensors head, was not established yet.
So in this report, we'v tried to establish recursive solution. And then, using achieved result, we made it clear how the measured result of surface profile will be extended as the sensors head's traverse motion proceeds and the number of measuring points increases.
Consequently, the transparency of theoretical aspect of SMPM improved in great degree.
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