我试图在纸上写出splinefit函数给出的分段多项式,但我在弄清楚系数应该是什么时遇到了一些问题。因此,脚本的输出为我提供了以下信息:
scalar structure containing the fields:
form = pp
breaks =
Columns 1 through 15:
-1.00000 -0.93750 -0.87500 -0.81250 -0.75000 -0.68750 -0.62500 -0.56250 -0.50000 0.00000 0.50000 0.56250 0.62500 0.68750 0.75000
Columns 16 through 19:
0.81250 0.87500 0.93750 1.00000
coefs =
2.5644e+03 -3.1686e+02 7.4332e+00 -1.0744e-01
-2.5013e+02 1.6397e+02 -2.1226e+00 -2.5453e-01
-2.4859e+03 1.1707e+02 1.5442e+01 1.9225e-01
2.4278e+03 -3.4904e+02 9.4429e-01 1.0078e+00
2.0742e+01 1.0618e+02 -1.4235e+01 2.9610e-01
-9.0213e+02 1.1007e+02 -7.1939e-01 -1.7374e-01
3.6900e+02 -5.9083e+01 2.4670e+00 -9.0075e-03
-5.4428e+01 1.0105e+01 -5.9408e-01 4.4780e-03
9.4209e-02 -1.0004e-01 3.1240e-02 -6.4667e-03
-5.9852e-02 4.1271e-02 1.8542e-03 -4.0812e-03
-5.3315e+01 -4.8507e-02 -1.7641e-03 -3.1792e-04
3.5957e+02 -1.0045e+01 -6.3261e-01 -1.3634e-02
-8.6341e+02 5.7374e+01 2.3254e+00 -4.6254e-03
-4.0925e+01 -1.0452e+02 -6.2096e-01 1.5404e-01
2.4543e+03 -1.1219e+02 -1.4165e+01 -3.0303e-01
-2.4445e+03 3.4799e+02 5.7280e-01 -1.0274e+00
-2.7185e+02 -1.1035e+02 1.5426e+01 -2.2903e-01
2.2566e+03 -1.6132e+02 -1.5531e+00 2.3768e-01
pieces = 18
order = 4
dim = 1
如果我通过 ppval 绘制函数,我会得到我所期望的。但是,如果我采用系数矩阵的第一行,按照我的解释,我可以将第一个三次多项式写成:
仅供参考,在我拥有的数据中,但从刚刚显示的等式中可以清楚地看出情况并非如此。