A precision calibration method for a ship-borne integrated measurement system in a pool
A measurement system, ship-borne technology, applied in the direction of radio wave measurement system, measurement device, electromagnetic wave re-radiation, etc.
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[0050] At first introduce the required theoretical basis of the present invention:
[0051] 1. Plane fitting theory
[0052] Plane formula:
[0053] ax+by+cz-d=0
[0054] The solution process is as follows:
[0055] 1) n scanning points to be fitted (x i ,y i ,z i ), the fitted plane equation is:
[0056] ax+by+cz=d
[0057] The conditions are:
[0058] a 2 +b 2 +c 2 = 1
[0059] Then the distance from any data point to the plane:
[0060] d i =|ax i +by i +cz i -d|
[0061] 2) To get the best fit plane, make Get the minimum value, the condition is a 2 +b 2 +c 2 =1, get the formula
[0062]
[0063] 3) Calculate the partial derivative of f to four unknown parameters d, a, b, c respectively:
[0064] Taking a partial derivative of d gives:
[0065]
[0066] Find the first argument:
[0067]
[0068] Then the distance from any data point to the plane:
[0069]
[0070] make:
[0071] but
[0072] make:
[0073] 4) Deriving a, b, an...
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