二次曲面擬合與擬合參數(shù)不確定度分析

二次曲面擬合與擬合參數(shù)不確定度分析
張曦 胡春華 陳五一北京航空航天大學(xué)機械工程及自動化學(xué)院,北京100083摘　要:由離散點進行二次曲面擬合問題可歸結(jié)為存在約束條件的非線性優(yōu)化問題，在總結(jié)了擬合參數(shù)初值計算和優(yōu)化算法的基礎(chǔ)上，研究了點位的坐標(biāo)測量誤差對擬合參數(shù)和曲面輪廓度評價的影響．給出了評價二者不確定度的解析方法和Monte-Carlo模擬方法，并指出，對于實際的測量數(shù)據(jù)，只有采用Monte—Carlo模擬方法進行擬合參數(shù)和輪廓度的不確定度評價才是可靠的．仿真實驗和實物測量實驗表明，給出的二次曲面擬合方法和不確定度估計方法是正確的．[著者文摘]

關(guān)鍵詞:二次曲面 擬合算法 不確定度分析
分類號:　TB92[免標(biāo)]文獻(xiàn)標(biāo)識碼：A文章編號：1001-5965（2006）09-1091-05欄目信息：材料與機械
相關(guān)文獻(xiàn):主題相關(guān)

Quadratic surface fitting and uncertainty analysis of fitting parametersZhang Xi,Hu Chunhua ,Chen Wuyi School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, ChinaAbstract:The quadric surface fitting through cloud points was described as the constrained nonlinear optimization. The calculation of initial fitting parameters and optimization algorithm were summarized, and then the influence of point coordinate measurement error on fitting parameters and evaluation of surface contour was researched. The methods to assess their uncertainty through analysis and Monte-Carlo simulation were discussed. It was found that the uncertainty of fitting parameters and surface contour could be evaluated reliably only through Monte-Carlo simulation for measurement data from actual surfaces. The simulation and actual measurement experiments were conducted, which suggested that the methods of quadric surface fitting and un- certainty assessment presented be correct.[著者文摘]

Key words:quadratic surfaces; fitting algorithm; uncertainty analysis