Abstract
We've developed a new method, as an extension of the existing one, for surface profile measuring.
The system of this method consists of a computer and more than three distance sensors arranged in a row at regular intervals on the sensors head.
As the head shifts one sensors' span, the distance values to the surface are acquired simultaneously by each sensor.
After completing data collection of all measuring points, these data are processed by the computer using least squares method to obtain the surface profile.
We'll show that our method can suppress an accumulative influence of random errors with increasing the number of sensors, and can make it easy to carry out fine zero adjustment, and so, leads to high accuracy.
In the last part, we'll give proof of the existence of the solutions, and also, make it clear how the influence of the head's fluctuations during its traverse motion are cancelled, and the meaning of selecting two base points to solve the simultaneous equations.
