用6点结构标定3点结构的顺序

在行列可自由变换的平面上,6点结构有90个

(A,B)---6*30*2---(0,1)(1,0)

让A分别是6a1,2,...,90,让B全是0。当收敛误差为7e-4,收敛199次取迭代次数平均值,得到

|----|----------|------|---|----|----------|------|---|----|----------|-------|
| | 迭代次数 | 搜索难度 | | | 迭代次数 | 搜索难度 | | | 迭代次数 | 搜索难度 |
| 1 | 3091.69 | 1 | | 31 | 12412.38 | 4.01 | | 61 | 26512.5 | 8.58 |
| 2 | 3375.17 | 1.09 | | 32 | 12548.66 | 4.06 | | 62 | 26628.7 | 8.61 |
| 3 | 3541.84 | 1.15 | | 33 | 12714.73 | 4.11 | | 63 | 27061.62 | 8.75 |
| 4 | 3553.66 | 1.15 | | 34 | 12901.3 | 4.17 | | 64 | 27348.68 | 8.85 |
| 5 | 3938.81 | 1.27 | | 35 | 13061.34 | 4.22 | | 65 | 27989.85 | 9.05 |
| 6 | 4106.75 | 1.33 | | 36 | 13367.07 | 4.32 | | 66 | 28148.54 | 9.1 |
| 7 | 4150.47 | 1.34 | | 37 | 13784.72 | 4.46 | | 67 | 28401.86 | 9.19 |
| 8 | 4259.43 | 1.38 | | 38 | 13943.68 | 4.51 | | 68 | 28542.61 | 9.23 |
| 9 | 5106.25 | 1.65 | | 39 | 14167.43 | 4.58 | | 69 | 29160.34 | 9.43 |
| 10 | 5234.93 | 1.69 | | 40 | 14793.27 | 4.78 | | 70 | 29895.35 | 9.67 |
| 11 | 5238.79 | 1.69 | | 41 | 15000.76 | 4.85 | | 71 | 30175.77 | 9.76 |
| 12 | 5257.78 | 1.7 | | 42 | 16541.38 | 5.35 | | 72 | 30393.32 | 9.83 |
| 13 | 6301.3 | 2.04 | | 43 | 16561.9 | 5.36 | | 73 | 30657.49 | 9.92 |
| 14 | 6845.64 | 2.21 | | 44 | 16577.82 | 5.36 | | 74 | 30664.05 | 9.92 |
| 15 | 6890.57 | 2.23 | | 45 | 19410.07 | 6.28 | | 75 | 31466.88 | 10.18 |
| 16 | 8137.42 | 2.63 | | 46 | 19890.85 | 6.43 | | 76 | 33834.71 | 10.94 |
| 17 | 8140.26 | 2.63 | | 47 | 20360.66 | 6.59 | | 77 | 33877.19 | 10.96 |
| 18 | 8601.68 | 2.78 | | 48 | 20444.36 | 6.61 | | 78 | 35074.11 | 11.34 |
| 19 | 8898.07 | 2.88 | | 49 | 20645.52 | 6.68 | | 79 | 35131.69 | 11.36 |
| 20 | 8982.79 | 2.91 | | 50 | 20672.12 | 6.69 | | 80 | 36612.28 | 11.84 |
| 21 | 9344.36 | 3.02 | | 51 | 21520.08 | 6.96 | | 81 | 36953.76 | 11.95 |
| 22 | 9764.06 | 3.16 | | 52 | 21602.03 | 6.99 | | 82 | 38757.7 | 12.54 |
| 23 | 9764.3 | 3.16 | | 53 | 21952.44 | 7.1 | | 83 | 41128.14 | 13.3 |
| 24 | 9968.54 | 3.22 | | 54 | 22276.87 | 7.21 | | 84 | 41595.65 | 13.45 |
| 25 | 10066.11 | 3.26 | | 55 | 23010.74 | 7.44 | | 85 | 45254.21 | 14.64 |
| 26 | 10909.66 | 3.53 | | 56 | 23322.49 | 7.54 | | 86 | 47225.87 | 15.28 |
| 27 | 11038.65 | 3.57 | | 57 | 24426.91 | 7.9 | | 87 | 49316.48 | 15.95 |
| 28 | 11104.8 | 3.59 | | 58 | 24509.77 | 7.93 | | 88 | 49567.77 | 16.03 |
| 29 | 11518.71 | 3.73 | | 59 | 24563.01 | 7.94 | | 89 | 54740.98 | 17.71 |
| 30 | 12343.51 | 3.99 | | 60 | 25086.44 | 8.11 | | 90 | 75727.21 | 24.49 |

这里训练集A-B矩阵的高度是6,而结构有6个点,6=6因此这个顺序是6点结构的s1顺序。

在行列可自由变换的平面上3点结构有6个

这个顺序3a1,3a2,...,3a6是训练集A-B矩阵的高度等于6的顺序,而点的数量为3,6>3因此这个顺序是3点结构的s2顺序。

这里用6点结构的s1顺序去标定3点结构的s2顺序。

就是用6点结构表达3点结构,3ax=6ax-3,所以有3ax+3=6ax

因为单点没有结构,所以3ax+1+1+1的搜索难度就是3ax的搜索难度。

3ax+1+1+1可以用3ax加1实现,也可以用3ax+3a1+3a2+3a3+3a4+3a5+3a6等价的实现

|---|-----|-----|-----|-----|-----|-----|---|----|
| | 3a1 | 3a2 | 3a3 | 3a4 | 3a5 | 3a6 | | 平均 |
| 1 | | | | | | | | |
| 2 | | | | | | | | |
| 3 | | | | | | | | |
| 4 | | | | | | | | |
| 5 | | | | | | | | |
| 6 | | | | | | | | |

所以整个过程就是让3a1,2,...,6分别加3a1,2,...,6然后在平均,共6组

计算第一组

3a1

74(3a1+3a1)= 2*6a9+4*6a10+4*6a12+4*6a13+2*6a17+2*6a23+4*6a30+2*6a32+2*6a40+4*6a42+2*6a45+4*6a58+4*6a62+12*6a69+6*6a79+12*6a84+4*6a85

这里依然用行列可自由变换的近似,

|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | B | B | | 0 | 0 | 0 | 0 | A | A |
| A | 0 | 0 | 0 | A | 0 | | B | 0 | 0 | 0 | B | 0 |
| 0 | 0 | 0 | 0 | A | 0 | | 0 | 0 | 0 | 0 | B | 0 |
| 0 | 0 | 0 | 0 | 0 | B | | 0 | 0 | 0 | 0 | 0 | A |
| 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 0 | 0 | 0 |

如第一项6a9,分解成3a1+3a1只有一种方法,但是A和B可以互换,所以6a9的系数是2.

搜索难度

(2*1.65+4*1.69+4*1.70+4*2.04+2*2.63+2*3.16+4*3.99+2*4.06+2*4.78+4*5.35+2*6.28+4*7.93+4*8.61+12*9.43+6*11.36+12*13.45+4*14.64)/74=7.73

3a2

11(3a2+3a1)= 6a3+6a6+6a15+2*6a30+4*6a31+6a32+6a36

(1.15+1.33+2.23+2*3.99+4*4.01+4.06+4.32)/11=3.38

3a3

67(3a3+3a1)= 6*6a1+4*6a2+3*6a3+6a4+3*6a6+2*6a7+2*6a8+6a9+4*6a12+4*6a13+6a14+6a15+6a17+3*6a22+2*6a23+2*6a24+2*6a25+6a26+2*6a27+6*6a28+2*6a30+2*6a32+2*6a33+2*6a41+2*6a42+4*6a52+2*6a66

(6*1.00+4*1.09+3*1.15+1.15+3*1.33+2*1.34+2*1.38+1.65+4*1.70+4*2.04+2.21+2.23+2.63+3*3.16+2*3.16+2*3.22+2*3.26+3.53+2*3.57+6*3.59+2*3.99+2*4.06+2*4.11+2*4.85+2*5.35+4*6.99+2*9.10)/67=2.98

3a4

67(3a4+3a1)= 6a9+2*6a10+2*6a11+6a14+2*6a15+6a17+3*6a20+2*6a24+6*6a29+2*6a32+6a33+6a34+2*6a35+2*6a37+2*6a39+2*6a41+3*6a44+2*6a45+6a49+2*6a58+4*6a62+4*6a72+3*6a75+6*6a78+2*6a81+4*6a85+4*6a87

(1.65+2*1.69+2*1.69+2.21+2*2.23+2.63+3*2.91+2*3.22+6*3.73+2*4.06+4.11+4.17+2*4.22+2*4.46+2*4.58+2*4.85+3*5.36+2*6.28+6.68+2*7.93+4*8.61+4*9.83+3*10.18+6*11.34+2*11.95+4*14.64+4*15.95)/67=7.13

3a5

37(3a5+3a1)= 2*6a4+2*6a5+2*6a6+2*6a8+6a9+6a14+2*6a16+6a17+4*6a18+2*6a19+6a21+2*6a24+6a32+2*6a39+2*6a41+4*6a43+2*6a44+2*6a49+2*6a53

(2*1.15+2*1.27+2*1.33+2*1.38+1.65+2.21+2*2.63+2.63+4*2.78+2*2.88+3.02+2*3.22+4.06+2*4.58+2*4.85+4*5.36+2*5.36+2*6.68+2*7.10)/37=3.54

3a6

11(3a6+3a1)=6a32+6a33+4*6a38+6a44+6a51+2*6a58+6a75

(4.06+4.11+4*4.51+5.36+6.96+2*7.93+10.18)/11=5.87

得到第一组数据

|--------|
| 3a1 |
| 7.7263 |
| 3.3754 |
| 2.9839 |
| 7.1299 |
| 3.5409 |
| 5.8698 |

计算第二组数据

3a1

11(3a1+3a2)=6a3+6a6+6a15+2*6a30+4*6a31+6a32+6a36

(1.15+1.33+2.23+2*3.99+4*4.01+4.06+4.32)/11=3.38

3a2

28(3a2+3a2)=2*6a2+2*6a12+20*6a64+2*6a69+2*6a77

(2*1.09+2*1.70+20*8.85+2*9.43+2*10.96)/28=7.97

3a3

31(3a3+3a2)=3*6a3+6a4+6a9+6a24+6a27+2*6a30+6*6a31+10*6a55+6a62+4*6a63+6a65

(3*1.15+1.15+1.65+3.22+3.57+2*3.99+6*4.01+10*7.44+8.61+4*8.75+9.05)/31=5.56

3a4

14(3a4+3a2)=6a18+6a22+3*6a28+6a37+2*6a42+6a44+4*6a48+6a50

(2.78+3.16+3*3.59+4.46+2*5.35+5.36+4*6.61+6.69)/14=5.03

3a5

13(3a5+3a2)=6a19+3*6a22+6a39+2*6a42+4*6a54+6a57+6a78

(2.88+3*3.16+4.58+2*5.35+4*7.21+7.90+11.34)/13=5.82

3a6

3(3a6+3a2)=6a28+6a29+6a68

(3.59+3.73+9.23)/3=5.52

第二组数据

|-------|
| 3a2 |
| 3.375 |
| 7.974 |
| 5.555 |
| 5.027 |
| 5.823 |
| 5.517 |

第三组

3a1

67(3a1+3a3)=6*6a1+4*6a2+3*6a3+6a4+3*6a6+2*6a7+2*6a8+6a9+4*6a12+4*6a13+6a14+6a15+6a17+3*6a22+2*6a23+2*6a24+2*6a25+6a26+2*6a27+6*6a28+2*6a30+2*6a32+2*6a33+2*6a41+2*6a42+4*6a52+2*6a66

(6*1.00+4*1.09+3*1.15+1.15+3*1.33+2*1.34+2*1.38+1.65+4*1.70+4*2.04+2.21+2.23+2.63+3*3.16+2*3.16+2*3.22+2*3.26+3.53+2*3.57+6*3.59+2*3.99+2*4.06+2*4.11+2*4.85+2*5.35+4*6.99+2*9.10)/67=2.98

3a2

31(3a2+3a3)=3*6a3+6a4+6a9+6a24+6a27+2*6a30+6*6a31+10*6a55+6a62+4*6a63+6a65

(3*1.15+1.15+1.65+3.22+3.57+2*3.99+6*4.01+10*7.44+8.61+4*8.75+9.05)/31=5.56

3a3

192(3a3+3a3)=10*6a2+6*6a3+4*6a4+4*6a5+8*6a7+2*6a9+4*6a11+6*6a12+2*6a14+4*6a15+6*6a22+6*6a23+2*6a24+2*6a26+2*6a27+4*6a30+6*6a36+2*6a40+4*6a42+4*6a43+2*6a45+12*6a48+4*6a52+12*6a54+2*6a62+12*6a63+6*6a65+6*6a69+4*6a71+4*6a72+4*6a76+18*6a77+6*6a79+12*6a82

(10*1.09+6*1.15+4*1.15+4*1.27+8*1.34+2*1.65+4*1.69+6*1.70+2*2.21+4*2.23+6*3.16+6*3.16+2*3.22+2*3.53+2*3.57+4*3.99+6*4.32+2*4.78+4*5.35+4*5.36+2*6.28+12*6.61+4*6.99+12*7.21+2*8.61+12*8.75+6*9.05+6*9.43+4*9.76+4*9.83+4*10.94+18*10.96+6*11.36+12*12.54)/192=6.26

3a4

79(3a4+3a3)=6a4+3*6a6+2*6a8+2*6a9+2*6a11+2*6a15+2*6a16+2*6a17+4*6a18+2*6a19+3*6a25+6a26+2*6a27+2*6a32+2*6a33+6a34+2*6a35+3*6a36+3*6a37+2*6a39+2*6a40+3*6a44+6a49+3*6a50+3*6a51+3*6a59+2*6a60+2*6a66+9*6a68+4*6a71+4*6a80

(1.15+3*1.33+2*1.38+2*1.65+2*1.69+2*2.23+2*2.63+2*2.63+4*2.78+2*2.88+3*3.26+3.53+2*3.57+2*4.06+2*4.11+4.17+2*4.22+3*4.32+3*4.46+2*4.58+2*4.78+3*5.36+6.68+3*6.69+3*6.96+3*7.94+2*8.11+2*9.10+9*9.23+4*9.76+4*11.84)/79=5.47

3a5

86(3a5+3a3)=3*6a4+2*6a5+2*6a9+2*6a14+2*6a15+5*6a19+3*6a21+2*6a24+3*6a26+4*6a27+2*6a34+3*6a36+4*6a37+3*6a39+2*6a40+2*6a45+6*6a50+2*6a53+9*6a57+2*6a60+2*6a62+6*6a65+2*6a66+4*6a73+4*6a76+3*6a78+2*6a81

(3*1.15+2*1.27+2*1.65+2*2.21+2*2.23+5*2.88+3*3.02+2*3.22+3*3.53+4*3.57+2*4.17+3*4.32+4*4.46+3*4.58+2*4.78+2*6.28+6*6.69+2*7.10+9*7.90+2*8.11+2*8.61+6*9.05+2*9.10+4*9.92+4*10.94+3*11.34+2*11.95)/86=6.06

3a6

14(3a6+3a3)=6a6+2*6a10+6a18+6a20+6a25+3*6a29+6a59+4*6a67

(1.33+2*1.69+2.78+2.91+3.26+3*3.73+7.94+4*9.19)/14=4.97

第四组

3a1

67(3a1+3a4)=6a9+2*6a10+2*6a11+6a14+2*6a15+6a17+3*6a20+2*6a24+6*6a29+2*6a32+6a33+6a34+2*6a35+2*6a37+2*6a39+2*6a41+3*6a44+2*6a45+6a49+2*6a58+4*6a62+4*6a72+3*6a75+6*6a78+2*6a81+4*6a85+4*6a87

(1.65+2*1.69+2*1.69+2.21+2*2.23+2.63+3*2.91+2*3.22+6*3.73+2*4.06+4.11+4.17+2*4.22+2*4.46+2*4.58+2*4.85+3*5.36+2*6.28+6.68+2*7.93+4*8.61+4*9.83+3*10.18+6*11.34+2*11.95+4*14.64+4*15.95)/67=7.13

3a2

14(3a2+3a4)=6a18+6a22+3*6a28+6a37+2*6a42+6a44+4*6a48+6a50

(2.78+3.16+3*3.59+4.46+2*5.35+5.36+4*6.61+6.69)/14=5.03

3a3

79(3a3+3a4)=6a4+3*6a6+2*6a8+2*6a9+2*6a11+2*6a15+2*6a16+2*6a17+4*6a18+2*6a19+3*6a25+6a26+2*6a27+2*6a32+2*6a33+6a34+2*6a35+3*6a36+3*6a37+2*6a39+2*6a40+3*6a44+6a49+3*6a50+3*6a51+3*6a59+2*6a60+2*6a66+9*6a68+4*6a71+4*6a80

(1.15+3*1.33+2*1.38+2*1.65+2*1.69+2*2.23+2*2.63+2*2.63+4*2.78+2*2.88+3*3.26+3.53+2*3.57+2*4.06+2*4.11+4.17+2*4.22+3*4.32+3*4.46+2*4.58+2*4.78+3*5.36+6.68+3*6.69+3*6.96+3*7.94+2*8.11+2*9.10+9*9.23+4*9.76+4*11.84)/79=5.47

3a4

192(3a4+3a4)=4*6a10+2*6a13+2*6a14+2*6a17+6*6a20+2*6a23+4*6a33+2*6a34+2*6a35+2*6a40+2*6a41+4*6a43+6*6a45+12*6a47+4*6a49+6*6a51+4*6a52+4*6a53+4*6a58+4*6a66+12*6a67+6*6a70+4*6a72+4*6a74+6*6a75+6*6a79+4*6a80+8*6a81+12*6a83+6*6a84+6*6a85+12*6a86+10*6a87+18*6a89

(4*1.69+2*2.04+2*2.21+2*2.63+6*2.91+2*3.16+4*4.11+2*4.17+2*4.22+2*4.78+2*4.85+4*5.36+6*6.28+12*6.59+4*6.68+6*6.96+4*6.99+4*7.10+4*7.93+4*9.10+12*9.19+6*9.67+4*9.83+4*9.92+6*10.18+6*11.36+4*11.84+8*11.95+12*13.30+6*13.45+6*14.64+12*15.28+10*15.95+18*17.71)/192=10.09

3a5

86(3a5+3a4)=3*6a1+2*6a5+2*6a7+3*6a8+2*6a11+2*6a13+2*6a14+5*6a16+2*6a17+3*6a21+2*6a23+4*6a25+2*6a26+2*6a33+3*6a34+4*6a35+2*6a40+2*6a41+9*6a46+3*6a49+3*6a51+2*6a53+4*6a56+6*6a59+2*6a60+6*6a70+4*6a74

(3*1.00+2*1.27+2*1.34+3*1.38+2*1.69+2*2.04+2*2.21+5*2.63+2*2.63+3*3.02+2*3.16+4*3.26+2*3.53+2*4.11+3*4.17+4*4.22+2*4.78+2*4.85+9*6.43+3*6.68+3*6.96+2*7.10+4*7.54+6*7.94+2*8.11+6*9.67+4*9.92)/86=5.11

3a6

31(3a6+3a4)=6a13+6a17+6a35+6*6a38+6a41+6a49+2*6a58+10*6a61+6a70+3*6a75+4*6a83

(2.04+2.63+4.22+6*4.51+4.85+6.68+2*7.93+10*8.58+9.67+3*10.18+4*13.30)/31=7.82

第五组

3a1

37(3a1+3a5)=2*6a4+2*6a5+2*6a6+2*6a8+6a9+6a14+2*6a16+6a17+4*6a18+2*6a19+6a21+2*6a24+6a32+2*6a39+2*6a41+4*6a43+2*6a44+2*6a49+2*6a53

(2*1.15+2*1.27+2*1.33+2*1.38+1.65+2.21+2*2.63+2.63+4*2.78+2*2.88+3.02+2*3.22+4.06+2*4.58+2*4.85+4*5.36+2*5.36+2*6.68+2*7.10)/37=3.54

3a2

13(3a2+3a5)=6a19+3*6a22+6a39+2*6a42+4*6a54+6a57+6a78

(2.88+3*3.16+4.58+2*5.35+4*7.21+7.90+11.34)/13=5.82

3a3

86(3a3+3a5)=3*6a4+2*6a5+2*6a9+2*6a14+2*6a15+5*6a19+3*6a21+2*6a24+3*6a26+4*6a27+2*6a34+3*6a36+4*6a37+3*6a39+2*6a40+2*6a45+6*6a50+2*6a53+9*6a57+2*6a60+2*6a62+6*6a65+2*6a66+4*6a73+4*6a76+3*6a78+2*6a81

(3*1.15+2*1.27+2*1.65+2*2.21+2*2.23+5*2.88+3*3.02+2*3.22+3*3.53+4*3.57+2*4.17+3*4.32+4*4.46+3*4.58+2*4.78+2*6.28+6*6.69+2*7.10+9*7.90+2*8.11+2*8.61+6*9.05+2*9.10+4*9.92+4*10.94+3*11.34+2*11.95)/86=6.06

3a4

86(3a4+3a5)=3*6a1+2*6a5+2*6a7+3*6a8+2*6a11+2*6a13+2*6a14+5*6a16+2*6a17+3*6a21+2*6a23+4*6a25+2*6a26+2*6a33+3*6a34+4*6a35+2*6a40+2*6a41+9*6a46+3*6a49+3*6a51+2*6a53+4*6a56+6*6a59+2*6a60+6*6a70+4*6a74

(3*1.00+2*1.27+2*1.34+3*1.38+2*1.69+2*2.04+2*2.21+5*2.63+2*2.63+3*3.02+2*3.16+4*3.26+2*3.53+2*4.11+3*4.17+4*4.22+2*4.78+2*4.85+9*6.43+3*6.68+3*6.96+2*7.10+4*7.54+6*7.94+2*8.11+6*9.67+4*9.92)/86=5.11

3a5

160(3a5+3a5)=4*6a5+4*6a7+4*6a11+2*6a14+6*6a21+2*6a23+4*6a26+4*6a34+2*6a40+4*6a43+2*6a45+4*6a52+4*6a53+12*6a56+8*6a60+4*6a66+8*6a71+4*6a72+12*6a73+8*6a74+8*6a76+2*6a79+8*6a80+4*6a81+8*6a82+8*6a86+20*6a88

(4*1.27+4*1.34+4*1.69+2*2.21+6*3.02+2*3.16+4*3.53+4*4.17+2*4.78+4*5.36+2*6.28+4*6.99+4*7.10+12*7.54+8*8.11+4*9.10+8*9.76+4*9.83+12*9.92+8*9.92+8*10.94+2*11.36+8*11.84+4*11.95+8*12.54+8*15.28+20*16.03)/160=9.25

3a6

13(3a6+3a5)=6a1+6a8+2*6a10+6a16+3*6a20+6a46+4*6a47

(1.00+1.38+2*1.69+2.63+3*2.91+6.43+4*6.59)/13=3.84

第六组

3a1

11(3a1+3a6)=6a32+6a33+4*6a38+6a44+6a51+2*6a58+6a75

(4.06+4.11+4*4.51+5.36+6.96+2*7.93+10.18)/11=5.87

3a2

3(3a2+3a6)=6a28+6a29+6a68

(3.59+3.73+9.23)/3=5.52

3a3

14(3a3+3a6)=6a6+2*6a10+6a18+6a20+6a25+3*6a29+6a59+4*6a67

(1.33+2*1.69+2.78+2.91+3.26+3*3.73+7.94+4*9.19)/14=4.97

3a4

31(3a4+3a6)=6a13+6a17+6a35+6*6a38+6a41+6a49+2*6a58+10*6a61+6a70+3*6a75+4*6a83

(2.04+2.63+4.22+6*4.51+4.85+6.68+2*7.93+10*8.58+9.67+3*10.18+4*13.30)/31=7.82

3a5

13(3a5+3a6)=6a1+6a8+2*6a10+6a16+3*6a20+6a46+4*6a47

(1.00+1.38+2*1.69+2.63+3*2.91+6.43+4*6.59)/13=3.84

3a6

28(3a6+3a6)=2*6a84+2*6a85+2*6a87+2*6a89+20*6a90

(2*13.45+2*14.64+2*15.95+2*17.71+20*24.49)/28=21.91

|---|-------|-------|-------|-------|-------|-------|---|-------|
| | 3a1 | 3a2 | 3a3 | 3a4 | 3a5 | 3a6 | | 平均 |
| 1 | 7.726 | 3.375 | 2.984 | 7.13 | 3.541 | 5.87 | | 5.104 |
| 2 | 3.375 | 7.974 | 5.555 | 5.027 | 5.823 | 5.517 | | 5.545 |
| 3 | 2.984 | 5.555 | 6.261 | 5.474 | 6.055 | 4.966 | | 5.216 |
| 4 | 7.13 | 5.027 | 5.474 | 10.09 | 5.114 | 7.823 | | 6.776 |
| 5 | 3.541 | 5.823 | 6.055 | 5.114 | 9.252 | 3.838 | | 5.604 |
| 6 | 5.87 | 5.517 | 4.966 | 7.823 | 3.838 | 21.91 | | 8.32 |

将平均值画成图

第3,5点偏小,但整体上是增的。

用5s1标3s2

用4s1标3s2

综合比较用4s1,5s1,6s1标定3s2的顺序的结果,3s2的顺序与4s1相似性更大,并且>5s1>6s1.

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