von Maltzahn W W
Int J Biomed Comput. 1984 Sep-Oct;15(5):381-9. doi: 10.1016/0020-7101(84)90043-6.
A mathematical method is developed for computing the coefficients of soft tissue energy density polynomials, satisfying certain constraints. The polynomial coefficients are computed in the least squares sense. It is demonstrated that this method: (a) determines up to 30 polynomial coefficients whereas the unmodified least squares method based on Maclaurin power series determines up to nine coefficients; and (b) increases numerical stability and accuracy by several orders of magnitude. All computations are carried out in single precision on a LSI-11/23 laboratory minicomputer. The algorithm is particularly useful for on-line data analysis using small laboratory computers.
开发了一种数学方法来计算满足特定约束条件的软组织能量密度多项式的系数。多项式系数是在最小二乘意义下计算的。结果表明，该方法：(a) 可确定多达30个多项式系数，而基于麦克劳林幂级数的未修改最小二乘法只能确定多达9个系数；(b) 将数值稳定性和准确性提高了几个数量级。所有计算均在LSI - 11/23实验室小型计算机上以单精度进行。该算法对于使用小型实验室计算机进行在线数据分析特别有用。
