湖南大学学报（自然科学版）
湖南大學學報（自然科學版）
호남대학학보（자연과학판）
JOURNAL OF HUNAN UNIVERSITY(NATURAL SCIENCES EDITION)
2010年
2期
27-31
,共5页
形位误差%误差评定%空间直线度误差%LSM算法分析%改进LSM算法
形位誤差%誤差評定%空間直線度誤差%LSM算法分析%改進LSM算法
형위오차%오차평정%공간직선도오차%LSM산법분석%개진LSM산법
geometric errors%error assessments%spatial straightness error%LSM algorithm analysis%improved LSM algorithm
为了有效地提高评定空间直线度误差的精度,运用几何学、误差理论和最优化原理,深入分析了LSM算法在空间直线度误差评定中所存在的原理缺陷;并改进了LSM算法,提出了改进LSM算法的数学模型.对改进LSM算法编制程序进行了数字实验,结果表明:改进LSM算法克服了LSM算法的原理缺陷,具有较高的精度.
為瞭有效地提高評定空間直線度誤差的精度,運用幾何學、誤差理論和最優化原理,深入分析瞭LSM算法在空間直線度誤差評定中所存在的原理缺陷;併改進瞭LSM算法,提齣瞭改進LSM算法的數學模型.對改進LSM算法編製程序進行瞭數字實驗,結果錶明:改進LSM算法剋服瞭LSM算法的原理缺陷,具有較高的精度.
위료유효지제고평정공간직선도오차적정도,운용궤하학、오차이론화최우화원리,심입분석료LSM산법재공간직선도오차평정중소존재적원리결함;병개진료LSM산법,제출료개진LSM산법적수학모형.대개진LSM산법편제정서진행료수자실험,결과표명:개진LSM산법극복료LSM산법적원리결함,구유교고적정도.
Theoretical defects of the Least Squares Method (LSM) in the evaluation of the spatial straightness error was analyzed in detail with geometry, the theory of errors, and optimization principle so as to effectively boost the precision of the assessment of the spatial straightness error. The mathematical model of improved LSM algorithm was proposed after the LSM was modified. Finally, the improved LSM algorithm was programmed, and the corresponding numerical experiments were done. The experiment results have shown that the improved LSM algorithm has overcome the theoretical defects of LSM with higher accuracy.
