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| Study on Course Radius Fitting Algorithm for Vertical Tank Volume Measurement Based on Internal Electro-optical Distance-ranging Method |
| TONG Lin,WANG Jin-tao,LIU Zi-yong,GUO Li-gong,BAO Xue-song,ZHANG Long |
| National Institute of Metrology, Beijing 100013, China |
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Abstract Course radius fitting algorithm is one of the key research contents of vertical tank volume measurement based on internal electro-optical distance-ranging method, which is to deduce circle equation for points set with circumferential distribution essentially. Four algorithms were introduced and analyzed, which are power mean method, iterative method, least square method and fan area superposition method. One 1000m3 vertical tank used as a test object, comparison experiment was carried out with strap method（international arbitral standard). The maximal radius error of these methods were 2.05mm, 1.48mm, 1.46mm and 2.12mm, and the absolute value of mean radius error were 0.97mm, 0.63mm, 0.62mm and 1.03mm respectively, which verifies the four methods. Applied characteristic of each method is described.
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2011, Vol. 32 
