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C#多点滤波

一、线性滤波

1、三点线性滤波

代码

        /// <summary>/// 三点线性滤波/// </summary>/// <param name="dataIn">输入数据</param>/// <param name="dataOut">输出数据</param>/// <param name="N">数据个数</param>public void LinearSmooth3(double[] dataIn, double[] dataOut, int N){int i;if (N < 3){for (i = 0; i <= N - 1; i++){dataOut[i] = dataIn[i];}}else{dataOut[0] = (5.0 * dataIn[0] + 2.0 * dataIn[1] - dataIn[2]) / 6.0;for (i = 1; i <= N - 2; i++){dataOut[i] = (dataIn[i - 1] + dataIn[i] + dataIn[i + 1]) / 3.0;}dataOut[N - 1] = (5.0 * dataIn[N - 1] + 2.0 * dataIn[N - 2] - dataIn[N - 3]) / 6.0;}}

2、五点线性滤波

代码

        /// <summary>/// 五点线性滤波/// </summary>/// <param name="dataIn">输入数据</param>/// <param name="dataOut">输出数据</param>/// <param name="N">数据个数</param>public void LinearSmooth5(double[] dataIn, double[] dataOut, int N){int i;if (N < 5){for (i = 0; i <= N - 1; i++){dataOut[i] = dataIn[i];}}else{dataOut[0] = (3.0 * dataIn[0] + 2.0 * dataIn[1] + dataIn[2] - dataIn[4]) / 5.0;dataOut[1] = (4.0 * dataIn[0] + 3.0 * dataIn[1] + 2 * dataIn[2] + dataIn[3]) / 10.0;for (i = 2; i <= N - 3; i++){dataOut[i] = (dataIn[i - 2] + dataIn[i - 1] + dataIn[i] + dataIn[i + 1] + dataIn[i + 2]) / 5.0;}dataOut[N - 2] = (4.0 * dataIn[N - 1] + 3.0 * dataIn[N - 2] + 2 * dataIn[N - 3] + dataIn[N - 4]) / 10.0;dataOut[N - 1] = (3.0 * dataIn[N - 1] + 2.0 * dataIn[N - 2] + dataIn[N - 3] - dataIn[N - 5]) / 5.0;}}

3、七点线性滤波

代码

/// <summary>/// 七点线性滤波/// </summary>/// <param name="dataIn">输入数据</param>/// <param name="dataOut">输出数据</param>/// <param name="N">数据个数</param>public void LinearSmooth7(double[] dataIn, double[] dataOut, int N){int i;if (N < 7){for (i = 0; i <= N - 1; i++){dataOut[i] = dataIn[i];}}else{dataOut[0] = (13.0 * dataIn[0] + 10.0 * dataIn[1] + 7.0 * dataIn[2] + 4.0 * dataIn[3] +dataIn[4] - 2.0 * dataIn[5] - 5.0 * dataIn[6]) / 28.0;dataOut[1] = (5.0 * dataIn[0] + 4.0 * dataIn[1] + 3 * dataIn[2] + 2 * dataIn[3] +dataIn[4] - dataIn[6]) / 14.0;dataOut[2] = (7.0 * dataIn[0] + 6.0 * dataIn[1] + 5.0 * dataIn[2] + 4.0 * dataIn[3] +3.0 * dataIn[4] + 2.0 * dataIn[5] + dataIn[6]) / 28.0;for (i = 3; i <= N - 4; i++){dataOut[i] = (dataIn[i - 3] + dataIn[i - 2] + dataIn[i - 1] + dataIn[i] + dataIn[i + 1] + dataIn[i + 2] + dataIn[i + 3]) / 7.0;}dataOut[N - 3] = (7.0 * dataIn[N - 1] + 6.0 * dataIn[N - 2] + 5.0 * dataIn[N - 3] +4.0 * dataIn[N - 4] + 3.0 * dataIn[N - 5] + 2.0 * dataIn[N - 6] + dataIn[N - 7]) / 28.0;dataOut[N - 2] = (5.0 * dataIn[N - 1] + 4.0 * dataIn[N - 2] + 3.0 * dataIn[N - 3] +2.0 * dataIn[N - 4] + dataIn[N - 5] - dataIn[N - 7]) / 14.0;dataOut[N - 1] = (13.0 * dataIn[N - 1] + 10.0 * dataIn[N - 2] + 7.0 * dataIn[N - 3] +4 * dataIn[N - 4] + dataIn[N - 5] - 2 * dataIn[N - 6] - 5 * dataIn[N - 7]) / 28.0;}}

二、二次方滤波

1、五点二次方滤波

代码

        /// <summary>/// 五点二次方滤波/// </summary>/// <param name="dataIn">输入数据</param>/// <param name="dataOut">输出数据</param>/// <param name="N">数据个数</param>public void QuadraticSmooth5(double[] dataIn, double[] dataOut, int N){int i;if (N < 5){for (i = 0; i <= N - 1; i++){dataOut[i] = dataIn[i];}}else{dataOut[0] = (31.0 * dataIn[0] + 9.0 * dataIn[1] - 3.0 * dataIn[2] - 5.0 * dataIn[3] + 3.0 * dataIn[4]) / 35.0;dataOut[1] = (9.0 * dataIn[0] + 13.0 * dataIn[1] + 12 * dataIn[2] + 6.0 * dataIn[3] - 5.0 *dataIn[4]) / 35.0;for (i = 2; i <= N - 3; i++){dataOut[i] = (-3.0 * (dataIn[i - 2] + dataIn[i + 2]) +12.0 * (dataIn[i - 1] + dataIn[i + 1]) + 17 * dataIn[i]) / 35.0;}dataOut[N - 2] = (9.0 * dataIn[N - 1] + 13.0 * dataIn[N - 2] + 12.0 * dataIn[N - 3] + 6.0 * dataIn[N - 4] - 5.0 * dataIn[N - 5]) / 35.0;dataOut[N - 1] = (31.0 * dataIn[N - 1] + 9.0 * dataIn[N - 2] - 3.0 * dataIn[N - 3] - 5.0 * dataIn[N - 4] + 3.0 * dataIn[N - 5]) / 35.0;}}

2、七点二次方滤波

代码

/// <summary>/// 七点二次方滤波/// </summary>/// <param name="dataIn">输入数据</param>/// <param name="dataOut">输出数据</param>/// <param name="N">数据个数</param>public void QuadraticSmooth7(double[] dataIn, double[] dataOut, int N){int i;if (N < 7){for (i = 0; i <= N - 1; i++){dataOut[i] = dataIn[i];}}else{dataOut[0] = (32.0 * dataIn[0] + 15.0 * dataIn[1] + 3.0 * dataIn[2] - 4.0 * dataIn[3] -6.0 * dataIn[4] - 3.0 * dataIn[5] + 5.0 * dataIn[6]) / 42.0;dataOut[1] = (5.0 * dataIn[0] + 4.0 * dataIn[1] + 3.0 * dataIn[2] + 2.0 * dataIn[3] +dataIn[4] - dataIn[6]) / 14.0;dataOut[2] = (1.0 * dataIn[0] + 3.0 * dataIn[1] + 4.0 * dataIn[2] + 4.0 * dataIn[3] +3.0 * dataIn[4] + 1.0 * dataIn[5] - 2.0 * dataIn[6]) / 14.0;for (i = 3; i <= N - 4; i++){dataOut[i] = (-2.0 * (dataIn[i - 3] + dataIn[i + 3]) +3.0 * (dataIn[i - 2] + dataIn[i + 2]) +6.0 * (dataIn[i - 1] + dataIn[i + 1]) + 7.0 * dataIn[i]) / 21.0;}dataOut[N - 3] = (1.0 * dataIn[N - 1] + 3.0 * dataIn[N - 2] + 4.0 * dataIn[N - 3] +4.0 * dataIn[N - 4] + 3.0 * dataIn[N - 5] + 1.0 * dataIn[N - 6] - 2.0 * dataIn[N - 7]) / 14.0;dataOut[N - 2] = (5.0 * dataIn[N - 1] + 4.0 * dataIn[N - 2] + 3.0 * dataIn[N - 3] +2.0 * dataIn[N - 4] + dataIn[N - 5] - dataIn[N - 7]) / 14.0;dataOut[N - 1] = (32.0 * dataIn[N - 1] + 15.0 * dataIn[N - 2] + 3.0 * dataIn[N - 3] -4.0 * dataIn[N - 4] - 6.0 * dataIn[N - 5] - 3.0 * dataIn[N - 6] + 5.0 * dataIn[N - 7]) / 42.0;}}

三、三次方滤波

1、五点三次方滤波

代码

        /// <summary>/// 五点三次方滤波/// </summary>/// <param name="dataIn">输入数据</param>/// <param name="dataOut">输出数据</param>/// <param name="N">数据个数</param>public void CubicSmooth5(double[] dataIn, double[] dataOut, int N){int i;if (N < 5){for (i = 0; i <= N - 1; i++)dataOut[i] = dataIn[i];}else{dataOut[0] = (69.0 * dataIn[0] + 4.0 * dataIn[1] - 6.0 * dataIn[2] + 4.0 * dataIn[3] - dataIn[4]) / 70.0;dataOut[1] = (2.0 * dataIn[0] + 27.0 * dataIn[1] + 12.0 * dataIn[2] - 8.0 * dataIn[3] + 2.0 * dataIn[4]) / 35.0;for (i = 2; i <= N - 3; i++){dataOut[i] = (-3.0 * (dataIn[i - 2] + dataIn[i + 2]) + 12.0 * (dataIn[i - 1] + dataIn[i + 1]) + 17.0 * dataIn[i]) / 35.0;}dataOut[N - 2] = (2.0 * dataIn[N - 5] - 8.0 * dataIn[N - 4] + 12.0 * dataIn[N - 3] + 27.0 * dataIn[N - 2] + 2.0 * dataIn[N - 1]) / 35.0;dataOut[N - 1] = (-dataIn[N - 5] + 4.0 * dataIn[N - 4] - 6.0 * dataIn[N - 3] + 4.0 * dataIn[N - 2] + 69.0 * dataIn[N - 1]) / 70.0;}return;}

2、七点三次方滤波

代码

        /// <summary>/// 七点三次方滤波/// </summary>/// <param name="dataIn">输入数据</param>/// <param name="dataOut">输出数据</param>/// <param name="N">数据个数</param>public void CubicSmooth7(double[] dataIn, double[] dataOut, int N){int i;if (N < 7){for (i = 0; i <= N - 1; i++){dataOut[i] = dataIn[i];}}else{dataOut[0] = (39.0 * dataIn[0] + 8.0 * dataIn[1] - 4.0 * dataIn[2] - 4.0 * dataIn[3] +1.0 * dataIn[4] + 4.0 * dataIn[5] - 2.0 * dataIn[6]) / 42.0;dataOut[1] = (8.0 * dataIn[0] + 19.0 * dataIn[1] + 16.0 * dataIn[2] + 6.0 * dataIn[3] -4.0 * dataIn[4] - 7.0* dataIn[5] + 4.0 * dataIn[6]) / 42.0;dataOut[2] = (-4.0 * dataIn[0] + 16.0 * dataIn[1] + 19.0 * dataIn[2] + 12.0 * dataIn[3] +2.0 * dataIn[4] - 4.0 * dataIn[5] + 1.0 * dataIn[6]) / 42.0;for (i = 3; i <= N - 4; i++){dataOut[i] = (-2.0 * (dataIn[i - 3] + dataIn[i + 3]) +3.0 * (dataIn[i - 2] + dataIn[i + 2]) +6.0 * (dataIn[i - 1] + dataIn[i + 1]) + 7.0 * dataIn[i]) / 21.0;}dataOut[N - 3] = (-4.0 * dataIn[N - 1] + 16.0 * dataIn[N - 2] + 19.0 * dataIn[N - 3] +12.0 * dataIn[N - 4] + 2.0 * dataIn[N - 5] - 4.0 * dataIn[N - 6] + 1.0 * dataIn[N - 7]) / 42.0;dataOut[N - 2] = (8.0 * dataIn[N - 1] + 19.0 * dataIn[N - 2] + 16.0 * dataIn[N - 3] +6.0 * dataIn[N - 4] - 4.0 * dataIn[N - 5] - 7.0 * dataIn[N - 6] + 4.0 * dataIn[N - 7]) / 42.0;dataOut[N - 1] = (39.0 * dataIn[N - 1] + 8.0 * dataIn[N - 2] - 4.0 * dataIn[N - 3] -4.0 * dataIn[N - 4] + 1.0 * dataIn[N - 5] + 4.0 * dataIn[N - 6] - 2.0 * dataIn[N - 7]) / 42.0;}}

四、数据测试

1、使用七点方式处理

①原始数据

②七点线性滤波

③七点二次方滤波

④七点三次方滤波

2、几种线性滤波图像比较

①原始数据

②五点线性滤波

③七点线性滤波

④九点线性

⑤十一点线性

3、原始数据

0.0000;0.0000;0.0000
0.0000;0.0000;0.0000
0.0000;0.0000;0.0000
0.0000;0.0000;-0.0675
0.0675;0.0000;0.0000
0.0675;0.0000;-0.0675
0.0675;0.0000;-0.0675
0.0675;0.0000;-0.0675
-0.4025;0.0000;-0.1325
-0.5375;0.0000;-0.1325
-0.1375;0.0000;-0.1325
-0.1375;0.0000;-0.2000
-0.3375;0.0000;-0.6025
-0.4700;0.0000;-0.4000
-0.8075;0.0675;-0.4675
0.0000;0.3375;-0.2675
2.8175;0.3375;0.3375
7.0475;1.2775;1.3425
15.8450;10.2750;-2.8850
24.7725;21.7525;-3.6250
34.8450;25.9850;8.9300
40.8200;26.9225;20.6800
44.7800;30.5500;26.3200
44.9150;32.9650;34.5100
44.2425;32.9650;45.1875
44.2425;33.7700;46.1275
44.5800;35.5850;44.9850
44.6475;36.3225;41.4925
44.6475;36.3225;38.5375
44.6475;36.3225;33.0350
44.6475;36.3225;26.3875
44.6475;36.3225;24.3075
44.5800;36.3900;21.4200
44.5800;36.4575;20.0750
44.5125;37.0625;15.1750
44.5125;37.0625;9.7375
44.5125;37.0625;7.6550
44.5125;37.0625;3.6275
44.5125;37.0625;0.8075
44.4450;37.1300;-1.7450
41.8925;37.1300;-2.9525
36.1175;37.1300;-2.6175
36.0525;37.1300;-2.7525
36.0525;37.1300;-7.1150
36.0525;37.1300;-8.7275
34.6425;37.0625;-8.6600
28.2650;30.5500;-4.1625
16.5150;19.5400;0.4025
12.9550;13.5625;-6.1750
12.9550;10.7425;-22.8275
10.7425;7.7225;-30.2775
-2.1500;-1.5450;-28.4650
-15.6450;-10.4050;-31.2175
-21.8900;-12.9550;-45.5200
-23.2300;-13.6950;-59.4850
-26.3875;-19.2025;-59.2825
-29.0725;-20.7450;-49.2100
-25.1100;-19.6725;-34.1725
-17.1875;-7.5875;-25.1075
-12.9575;10.5400;-16.0450
-11.6850;31.6250;-3.1550
-11.3475;49.2825;3.4250
-0.6725;54.3850;10.6775
19.3350;54.3850;8.7975
32.9650;53.8450;4.9025
46.3900;42.0300;4.8350
51.6950;30.2150;4.7025
50.3525;22.1550;-0.6025
39.8125;15.1075;-7.2500
13.2250;13.0925;-16.3800
-6.7825;13.1600;-20.1400
-16.1150;13.1600;-23.6975
-24.1025;13.6300;-23.8325
-30.0800;21.4850;-21.8200
-30.0800;33.9725;-20.4100
-22.9625;38.9400;-11.6825
-8.5275;42.9025;-5.5025
5.8400;45.9900;-2.0125
18.4600;46.1250;5.2400
33.5025;46.1250;9.6700
44.6475;46.1250;12.0175
51.3600;46.1250;16.2500
56.4625;46.0575;20.6125
59.6850;46.0575;22.2925
60.7600;46.0575;23.6325
56.7975;46.1250;21.7550
52.3000;46.1250;18.2650
51.5625;46.1250;16.5175
49.2775;46.1250;14.8400
47.5325;45.9900;13.4950
46.3900;44.3800;10.7450
43.7075;40.0150;10.2075
39.7450;39.1425;4.3000
36.7900;30.8850;1.8800
29.1350;22.3575;-0.9375
21.6850;21.0150;-13.0225
16.4475;14.8400;-19.6700
9.8025;3.6950;-20.0725
4.0275;-0.3350;-25.3775
0.0675;-0.4700;-36.5900
-5.7750;-8.7275;-38.0000
-12.6900;-17.1875;-36.6550
-15.6450;-17.6575;-42.2950
-19.0000;-17.7925;-47.7325
-24.7750;-21.3475;-48.8100
-27.1250;-24.0350;-48.6725
-27.1925;-24.1000;-48.6075
-25.6475;-24.1000;-45.7200
-20.5450;-24.0350;-38.8700
-16.7175;-18.4625;-33.0975
-8.8650;-11.4125;-31.0825
0.2000;-3.8250;-24.5025
7.9200;7.9900;-19.2675
15.9775;19.1350;-14.6350
26.8550;29.5425;-8.3900
34.8450;37.5325;-4.0275
36.9925;43.1050;1.3425
35.7825;44.1800;2.1500
28.3325;44.1800;1.9475
25.8475;36.5900;-2.6175
20.5425;28.0650;-6.7800
14.5000;21.0150;-11.0075
10.2050;12.4900;-20.2075
0.2000;6.6475;-28.6000
-12.1525;-5.3025;-37.2600
-19.8750;-14.8350;-43.9750
-24.3725;-19.3350;-52.1650
-29.0050;-25.2450;-54.1800
-32.2275;-27.3925;-54.1125
-26.1850;-27.3925;-48.6075
-21.9575;-25.9150;-40.9550
-16.4500;-20.1425;-38.6700
-8.3925;-14.1000;-33.7025
2.0800;-5.1700;-27.7250
13.8300;4.9025;-22.8275
19.4675;17.7925;-17.8575
23.7675;26.0525;-13.4250
30.4125;29.4075;-8.6600
31.7550;32.0275;-8.0550
25.2425;32.0950;-8.0550
21.6175;32.0275;-8.0550
18.9975;28.9375;-10.4050
13.2925;22.7600;-12.4850
9.8025;19.6725;-13.6275
6.5800;16.6500;-16.2475
2.8175;13.5625;-17.0500
-0.6725;9.4675;-18.4600
-6.0425;7.4550;-21.3500
-9.2000;4.4325;-23.2975
-14.3025;0.4025;-23.8325
-18.8000;-2.1475;-24.6375
-23.0300;-3.0200;-26.5850
-30.6175;-3.3550;-28.7325
-36.5250;-3.2875;-28.8000
-39.2775;-3.2875;-28.8000
-42.3000;-1.2750;-28.1300
-43.1700;2.0150;-28.0625
-45.7225;3.0225;-27.9950
-49.0800;3.4925;-25.7125
-48.3425;3.5575;-24.3025
-38.2050;1.4100;-24.3700
-26.1175;-1.2750;-24.3025
-18.8000;-4.3625;-24.3025
-14.5700;-9.8000;-24.3700
-8.7300;-14.1000;-24.3700
-3.0225;-16.3800;-24.3700
-0.2025;-17.5225;-24.3025
-1.0775;-17.5225;-24.1675
-7.6550;-17.5225;-20.2750
-14.2350;-17.9250;-18.3950
-16.7175;-19.9375;-18.4600
-20.6800;-22.2225;-18.3950
-25.4475;-22.6925;-18.3950
-30.3475;-25.1075;-18.3275
-36.3225;-26.9875;-16.6475
-41.8275;-29.8100;-14.7025
-44.0450;-31.4875;-9.4650
-39.6150;-29.2050;-1.4750
-29.6100;-17.5225;7.4525
-14.1000;-4.3625;19.0000
-5.4400;2.5525;32.2275
-2.0150;7.3200;40.8875
2.3475;11.0100;42.8350
-1.9475;5.5725;42.8350
-14.4375;-8.1225;42.7675
-25.9175;-17.3875;40.4200
-33.6375;-23.3650;34.1750
-39.8150;-27.5250;28.2650
-46.3275;-32.5600;21.4875
-53.9825;-37.0600;15.1750
-61.2325;-40.8875;13.5625
-61.5675;-39.9475;13.5625
-55.1900;-32.0900;13.5625
-45.3875;-19.1350;13.5625
-35.6525;-2.6175;13.6300
-25.1775;9.8700;16.5175
-20.6125;19.8050;20.7475
-20.7475;32.1600;28.3350
-25.5150;47.8025;32.7650
-38.6075;63.8500;36.3900
-50.9600;70.8975;38.1375
-62.4400;70.4975;38.1375
-71.0325;58.6125;38.2050
-78.6200;35.3150;38.2050
-80.3650;12.5550;38.1375
-77.6825;-11.4125;36.9950
-72.1100;-27.7950;26.5875
-59.6875;-38.0000;19.0675
-47.7375;-46.5925;18.1950
-34.4450;-53.5775;18.2650
-15.9150;-56.4625;18.2650
1.1400;-53.3075;18.2650
10.4725;-37.3950;18.5975
17.9900;-17.2550;23.8375
20.4100;-0.0675;31.6900
19.3350;16.6500;35.5175
17.2550;32.9650;35.5850
12.7550;46.5275;34.7125
6.5800;51.2950;24.5725
-1.1425;51.3625;9.7375
-12.6900;50.0175;3.1575
-29.0725;44.1800;-5.5725
-44.8500;33.7700;-7.2500
-58.2775;21.3500;-9.6675
-71.5025;18.1275;-17.0500
-83.8575;17.7925;-21.4825
-92.8550;11.3475;-26.1150
-94.0625;-6.7125;-31.8225
-91.4450;-27.7275;-33.0975
-79.7625;-44.9825;-33.0975
-58.3450;-61.9675;-33.1650
-37.8000;-77.4775;-32.6950
-16.7875;-80.9000;-24.9750
9.1975;-78.0825;-8.9275
29.1350;-61.0275;5.4400
41.6250;-37.7300;12.8925
49.8825;-18.1275;21.0825
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-99.5000;44.2450;97.3525
-104.2675;44.3800;98.0250
-109.2350;44.3800;101.5825
-112.3250;44.3800;102.3875
-114.2725;44.3125;105.0750
-114.2725;43.5750;109.3700
-114.4075;41.6275;111.1825
-115.7475;41.2250;111.1825
-117.6300;41.2250;112.2575
-118.7025;40.2175;114.0700
-118.7025;33.7700;116.2850
-118.7025;18.3300;120.4475
-118.7025;1.3450;120.7150
-118.7025;-13.2925;120.7825
-118.3675;-25.1075;120.7825
-112.1900;-36.9925;120.7825
-100.5750;-48.5400;120.7825
-91.5100;-61.5650;120.7825
-88.0875;-68.9500;120.7825
-81.7100;-76.2025;120.7150
-74.9950;-84.3925;120.7150
-72.8475;-91.2400;120.7150
-69.5575;-96.1400;120.7150
-59.2850;-106.2800;120.7150
-53.1075;-117.2900;120.7825
-53.1075;-120.2450;120.7825
-51.6325;-121.6550;120.7150
-45.5200;-121.9225;120.7150
-42.5000;-121.9225;120.7150
-43.9100;-121.9225;120.7150
-49.6175;-121.9225;120.7150
-52.7725;-121.7900;112.3900
-52.9075;-106.8150;82.7175
-53.7125;-99.4300;73.9200
-60.6275;-108.2275;73.6525
-67.9450;-116.4175;61.3000
-68.3500;-119.6400;49.0125
-68.3500;-121.9225;47.5350
-68.6825;-121.9900;38.8075
-68.0125;-121.9900;34.9150
-66.5375;-121.9900;34.9150
-62.4400;-121.9900;34.9150
-61.9700;-121.9900;34.8450
-62.5750;-121.9900;34.9150
-58.2125;-121.9900;34.9150
-54.9875;-118.9675;34.8450
-56.5975;-108.2925;32.6975
-69.2875;-96.3425;33.7725
-78.7550;-89.1575;36.9950
-92.3175;-79.8275;41.0250
-101.9850;-69.1525;41.8275
-111.7875;-54.9850;41.8950
-118.0300;-39.5450;41.7600
-119.7100;-18.5275;32.9000

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