# How to measure difference at different times?

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Haya Ali on 6 Jun 2021
Commented: Image Analyst on 8 Jun 2021
I have two arrays X1 and X2. I want to calculate this.
X1(t1)-X1(t0)=c1+d11*X1(t0)+d12*X2(t0)
Where t0 and t1 are different time. I am confused how can I measure X1 and X2 at t1 and t0 and then put them in the above equation. Please help.
clear all; close all; clc;
c1=1;
d11=0.0100;
d12=-0.1421;
X1=[11500.2 11477.9 11417.3 11426.4 11413 11382.9 11375.1 11347.9 11351.1 11329.3 11318.9 11343.4 11360.7 11378.4 11414.2 11408.2 11413.6 11449.4 11444.1 11421.4 11388.5 11429.3 11438.1 11432.9 11408.2 11434.3 11444.8 11443.5 11491.8 11503.8 11581.8 11525.9 11529.5 11557.6 11523 11516 11504.1 11492.9 11480.3 11495.9 11445.1 11437.7 11468.5 11463 11488.5 11470.3 11491.1 11480.2 11488.9 11453.8 11456 11434.5 11460.6 11456.1 11454 11468.3 11464.4 11501 11453.8 11474.2 11458.2 11452.8 11434.6 11447.3 11379.5 11396.4 11409.9 11405.6 11433.3 11435.6 11434.2 11415.5 11483.6 11434.6 11452.2 11471.5 11445 11462.6 11433.3 11440.2 11442.3 11456 11408.6 11399.7 11369.8 11372.6 11401.4 11405 11426.6 11430.3 11405.6 11409.8 11405 11399.7 11381.2 11392.5 11383.6 11365.8 11362.4 11347.8 ...
11324.9 11353 11330.8 11319.6 11313.2 11322.2 11294.4 11341 11345.3 11325.8 11359.3 11353.1 11330.7 11344.4 11361.9 11375.6 11338.2 11366.3 11349.5 11354.3 11373.5 11396.7 11387.6 11402 11415.8 11401.3 11416.9 11408.7 11371.5 11403.5 11437.4 11438.5 11452.5 11468.8 11428.4 11418.4 11395.3 11437.6 11409 11428.3 11375.6 11361.3 11343.6 11350.5 11357.6 11354.6 11394.5 11404.6 11449.5 11423 11451.8 11455.4 11472.9 11431.5 11453.7 11438.5 11433.6 11425.8 11413.5 11418.7 11395 11404.8 11367.5 11365.8 11351.3 11340.4 11374.3 11365 11397.8 11404 11387.6 11361.9 11354.5 11348.3 11297.2 11284.1 11308.6 11339.1 11354.3 11350.4 11350.6 11353.5 11353.7 11295.5 11303.3 11267.1 11333.3 11351.6 11330.9 11330.8 11336.9 11359.3 11361.6 11382.9 11339.5 11346 11403.5 11371.2 11381.8 11340.7...
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11371.8 11390.4 11402.2 11387.3 11387.6 11387.3 11394.4 11447.1 11465 11431.5 11457.1 11460.6 11485.7 11491 11458.5 11440.9 11434.8 11454.9 11453.5 11463 11446.3 11475.9 11482.5 11457.3 11454.8 11445 11442.8 11440.9 11386.9 11412.6 11387.1 11402 11376.8 11425.7 11426 11426.7 11421.5 11438.4 11455.1 11423 11450 11429.3 11486 11504.3 11494.1 11510.8 11527.5 11562.5 11570.8 11520.7 11496.2 11508.6 11514.3 11457.7 11457.8 11435.8 11465 11475.5 11459.7 11462.8 11452.2 11499.4 11508 11478.9 11483.9 11479.6 11493.1 11451.4 11421.4 11366.3 11389.8 11385 11339.1 11322.4 11336.5 11346.9 11315.2 11328.6 11323 11348.3 11351.3 11346.5 11369.6 11400.5 11426.4 11432.4 11404.5 11415 11428.9 11446.8 11408.2 11417.9 11379.6 11379.4 11411 11383.2 11409.2 11443.8 11453.7 11455.9...
11420.4 11392.9 11395.4 11389.9 11358.4 11370.3 11404.4 11406 11418.9 11404.7 11460.1 11472.4 11510.2 11472 11457.3 11493.7 11507.3 11512.8 11489.1 11481.3 11481.6 11451.9 11423.8 11336.1 11413.5 11412.1 11376.1 11368.6 11371.8 11361.7 11320.5 11294.2 11268.4 11302.5 11344.5 11320.8 11345.4 11308.4 11327.4 11337.9 11340 11354.1 11355.1 11376.6 11406.4 11422.9 11434.4 11441.6 11457.7 11474.1 11487.9 11489.5 11461.2 11477.4 11464.9 11506.4 11484.7 11476.8 11466.2 11746 11060.5 11805 11714 11676.6 11674.9 11609.2 11516.9 11505 11534.9 11527.1 11514.4 11513.6 11535.7 11450 11435.1 11390.1 11426.6 11406 11385.3 11359.2 11332.5 11327.7 11302.2 11296.2 11267 11269.5 11246.4 11260.3 11284.6 11268.1 11257.5 11258.9 11252.8 11259.1 11304.2 11286.2 11319.8 11441.8 11558.1 11648.4...
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11365.9 11366.6 11369.4 11386.2 11405.7 11349 11372.3 11370.5 11370.2 11402.6 11385 11401.8 11382.5 11362.5 11353.6 11368.9 11365.3 11377.3 11375.3 11385.2 11364.7 11357 11366.8 11337.1 11348.1 11316.3 11308.3 11322.2 11311 11341.8 11350.1 11340.1 11348.3 11338.4 11379.9 11395.1 11368.1 11363.4 11342.3 11329.5 11317.9 11318.7 11304.5 11256.4 11277.6 11247.3 11264.2 11247.9 11245.6 11243.5 11257.1 11289.5 11250.5 11252.9 11243.2 11278.9 11323.5 11299.4 11328.1 11306.9 11311.5 11317.8 11308.3 11302.3 11276.2 11295.2 11252.7 11267.4 11268.3 11265.8 11271.8 11266.6 11280.2 11273.3 11300.6 11280.5 11298.7 11341.9 11336.2 11354.5 11351 11344.7 11346.5 11321.8 11358.6 11340.5 11352.6 11333.3 11347.1 11369.5 11352.9 11359.9 11335.2 11308.9 11331.4 11319.5 11344.5 11337.1 11352.8 11371.9 ...
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X2=[8226.06 8234.99 8233.64 8237.88 8202.31 8221.06 8227.42 8218.15 8178.23 8171.49 8207.95 8185.35 8154.1 8199.58 8194.86 8208.41 8203.65 8196.02 8235.77 8223.88 8192.7 8193.73 8205.27 8226.7 8245.66 8220.71 8259.15 8248.48 8284.57 8286.82 8345.18 8279.08 8295.97 8273.65 8227.77 8205.47 8232.83 8167.27 8200.45 8236.65 8232.63 8247.13 8227.22 8217.31 8227.13 8180.41 8208.76 8228.25 8210.96 8174.71 8182.5 8209.88 8238.14 8245.51 8164.65 8192.09 8194.78 8194.36 8182.32 8236.12 8245.47 8207.3 8236.39 8282.31 8224.89 8218.68 8257.62 8215.52 8209.64 8223.77 8218.69 8213.66 8234.17 8229.77 8280.65 8237.61 8207.93 8193.78 8189.68 8167.78 8194.1 8190.04 8150.79 8217.72 8188.27 8214.29 8213.34 8212.68 8174.67 8190.03 8209.92 8188.18 8216.35 8200.95 8222.81 8246.59 8238.99 8249.34 8204.24 8217.16 ...
8210.35 8259.64 8197.23 8239.03 8207.05 8191.05 8203.94 8173.72 8176.97 8153.52 8160.5 8168.8 8185.04 8150.22 8158.93 8151.52 8111.29 8151.1 8097.85 8144.03 8140.46 8167.53 8159.25 8155.44 8156.78 8196.64 8143.66 8132.19 8138.97 8156.91 8170.51 8192.67 8218.02 8195.44 8208.8 8179.59 8183 8191.11 8233.25 8245.36 8194.83 8223.01 8201.91 8205.51 8212.19 8204.03 8204.12 8259.89 8242.94 8233.19 8258.76 8231.33 8235.68 8245.22 8247.8 8178.53 8219.02 8223.28 8158.23 8194.95 8202.36 8142.87 8163.35 8167.52 8159.81 8149.96 8174.4 8138.32 8128.75 8194.95 8179.86 8134.97 8141.51 8185.25 8128.94 8229.71 8151.01 8178.85 8203.2 8204.22 8216.75 8164.48 8169.25 8178.33 8158.7 8118.04 8094.7 8126.33 8150.82 8124.22 8113.7 8100.81 8135.34 8144.05 8158.51 8143.28 8143.6 8157.47 8208.36 8125.96 ...
8184.93 8145.76 8118.84 8143.85 8165.28 8154.06 8095.53 8138.86 8132.51 8227.04 8174.32 8179.97 8178.91 8169.49 8153.1 8091.13 8128.75 8146.08 8158.38 8146.54 8128.46 8145.7 8192.05 8168.78 8205.85 8151.25 8148.01 8184.38 8235.28 8184.78 8155.77 8158.95 8226.86 8248.3 8177.56 8237.23 8259.58 8283.72 8213.85 8247.76 8183.4 8187.61 8147.93 8130.08 8157.21 8141.87 8171.01 8138.22 8178.59 8178.8 8158.79 8114.83 8158.3 8126.95 8166.15 8149.29 8123.46 8122.4 8117.33 8138.1 8103.22 8104.56 8155.21 8188.46 8155.3 8163.98 8183.57 8195.58 8208.72 8171.84 8267.17 8182.96 8210.8 8191.56 8194.98 8204.95 8217.08 8284.39 8220.24 8200.02 8204.13 8198.1 8197.04 8195.33 8189.5 8190.71 8148.71 8134.98 8128.35 8139.34 8143.13 8153.06 8091.77 8128.33 8142.83 8163.67 8163.1 8135.13 8176.21 8175.64 ...
8181.47 8168.13 8189.35 8197.6 8208.93 8200.52 8196.93 8193.2 8233.31 8234.92 8210.2 8193.42 8191.09 8215.66 8191.28 8212.44 8166.89 8216.44 8189.97 8191.01 8189.85 8157.7 8186.43 8174.04 8199.55 8198.6 8193.82 8199.8 8225.71 8201.33 8179.32 8170.41 8181.38 8134.94 8122.67 8156.68 8110.73 8136.2 8120.86 8122.11 8123.78 8144.84 8157.86 8175.18 8188.47 8196.97 8249.58 8261.08 8218.11 8250.34 8248.6 8185.38 8211.3 8227.51 8203.39 8149.58 8187.58 8188.2 8200.56 8185.1 8192.67 8195.14 8215.06 8228.09 8194.95 8213.62 8207.75 8188.46 8191.82 8212.62 8180.37 8194.81 8196.28 8187.95 8141.25 8181.44 8154.69 8147.96 8129.54 8164.59 8148.13 8157.71 8144.59 8158.57 8146.95 8134.73 8081.59 8145.51 8122.86 8138.05 8151.14 8160.5 8176.72 8125.97 8117.96 8149.18 8139.71 8141.78 8144.03 8129.55 ...
8141.69 8161.22 8157.12 8235.79 8135.21 8161.28 8147.74 8191.95 8188.21 8196.57 8197.03 8222.23 8231.91 8237.34 8220.23 8265.16 8235.43 8243.56 8242.54 8251.76 8214.05 8231.24 8228.96 8209.11 8239.69 8255.56 8269.95 8229.03 8221.82 8263.55 8257.82 8214.61 8212.84 8213.05 8214.64 8150.89 8211.17 8175.03 8174.12 8193.35 8156.33 8162.19 8183.34 8183.74 8170.88 8180.07 8200.52 8250.46 8255.95 8202.63 8241.97 8215.22 8265.55 8203.03 8185.81 8169.04 8173.59 8159.21 8168.48 8164.32 8137.08 8118.61 8130.79 8118.49 8122.24 8145.2 8188.26 8192.85 8208.43 8165.7 8172.7 8212.71 8171.72 8183.29 8148.84 8197.59 8196.6 8171.99 8186.46 8172.19 8172.17 8135.82 8157.03 8147.96 8163.17 8188.74 8181.54 8193.91 8146.06 8144.29 8110.13 8133.68 8173.07 8159.61 8163.3 8135.27 8162.31 8144.74 8171.05 8226.62 ...
8224.07 8191.43 8198.75 8163.76 8131.72 8203.09 8092.84 8151.76 8123.07 8097.64 8132.75 8136.5 8195.33 8173.59 8151.37 8209.01 8188.89 8242.88 8155.55 8163.37 8194.16 8210.89 8197.51 8181.66 8201.93 8214.67 8171.52 8211.69 8164.74 8170.11 8162.67 8104.15 8140.16 8125.53 8142.41 8177.69 8174.64 8188.59 8202.09 8173.13 8171.76 8222.42 8122.13 8176.4 8202.41 8182.53 8214.41 8178.4 8210.24 8182.03 8195.21 8158.78 8146.4 8158.43 8106.62 8211.37 8188.66 8167.18 8195.58 8366.68 8319.86 8310.06 8294.43 8317.98 8282.51 8249.23 8227.91 8201.78 8202.2 8176.52 8206.58 8166.68 8214.91 8240.37 8203.23 8177.94 8192.38 8196.43 8184.06 8153.42 8146.81 8144.01 8108.88 8163.16 8142.94 8145.61 8151.11 8124.6 8128.91 8115.84 8134.59 8111.93 8120.73 8138.34 8211.09 8189.52 8189.86 8273.64 8297.49 8321.74 ...
8293.43 8260.55 8303.06 8299.15 8360.77 8329.79 8240.11 8230.51 8259.6 8197.68 8188.38 8183.48 8196.92 8166.36 8198.73 8164.93 8170.27 8147.03 8223 8138.94 8156.16 8164.39 8155.72 8178.98 8180.28 8190.69 8154.97 8193.14 8184.99 8172.17 8130.69 8142.55 8144.31 8115.72 8048.83 8075.45 8071.34 8064.61 8101.05 8090.44 8102.85 8126.25 8105.01 8092.98 8078.35 8087.25 8096.54 8073.06 8105.47 8121.79 8119.24 8101.02 8096.27 8079.21 8076.95 8089.91 8113.59 8098.24 8126.3 8169.81 8175.77 8134.34 8119.94 8136.28 8101.22 8150.51 8192.13 8179.82 8132.55 8133.62 8165.13 8183.43 8161.3 8179.33 8184.36 8154.11 8212.01 8205.37 8239.04 8146.78 8149.4 8168.6 8178.65 8165.64 8173.29 8172.32 8176.92 8195.25 8220.96 8175.41 8185.29 8170.03 8215.18 8204.93 8201.34 8173.33 8160.7 8176.72 8156.83 8165.31 ...
8157.87 8235.67 8181.53 8168.73 8136.67 8147.75 8177.77 8188.51 8160.16 8177.3 8149.09 8185.77 8144.27 8180.51 8175.4 8181.48 8137.63 8161.6 8181.94 8210.2 8182.66 8188.52 8129.08 8144.88 8178.94 8148.39 8182.95 8169.34 8139.76 8158.55 8118.04 8125.63 8171.23 8127.28 8145.29 8109.62 8124.71 8132.45 8112.67 8114.06 8113.31 8125.73 8096.24 8135.03 8092.65 8113.73 8124.21 8127.3 8135.47 8127.17 8168.6 8147.48 8169.64 8184.63 8198.8 8161.45 8217.57 8182.82 8160.87 8146.89 8117.93 8128.79 8151.23 8147.52 8122.01 8139.14 8106 8131.7 8134.35 8100.27 8145.79 8162.82 8108.69 8104.47 8125.88 8125.97 8116.38 8146.79 8088.69 8120.03 8097.53 8096.71 8119.56 8154.06 8118.71 8127.13 8133.21 8148.94 8178.64 8135.35 8159.48 8158.53 8146.53 8171.51 8103.67 8145.47 8122.18 8127.55 8088.76 8097.06 ...
8140.57 8146.75 8142.37 8100.94 8168.08 8124.65 8149.88 8151.18 8178.86 8147.66 8162.08 8142.38 8160.36 8163.35 8178.91 8143.07 8172.75 8161.33 8170.84 8145.67 8128.92 8114.74 8113.86 8125.33 8068.41 8051.2 8068.07 8052.68 8078.77 8075.73 8100.76 8058.76 8109.85 8123.14 8107.2 8125.7 8142.1 8130.18 8095.56 8108.59 8054.82 8080.38 8062.9 8032.11 8070.62 8039.36 8056.49 8035.93 8055.74 8019.63 8028.99 8045.89 8019.38 8048.76 8040.76 8053.07 8074.11 8059.87 8117.2 8161.72 8108.11 8085.76 8089.66 8101.81 8048.68 8129.06 8062.77 8089.87 8054.9 8055.97 8084.91 8078.51 8068.41 8048.12 8102.91 8068.5 8078.21 8127.31 8079.43 8093.2 8095.91 8100.71 8130.1 8121.39 8093.77 8089.13 8109.9 8113.07 8090.48 8111.66 8090.89 8073.06 8097.39 8068.79 8066.23 8067.98 8055.01 8101.63 8099.27 8086.71 ...
8096.21 8103.9 8095.26 8135.33 8104.26 8132.46 8109.49 8081.2 8098.03 8079.94 8066.3 8067.42 8065.8 8083.46 8075.46 8110.65 8114.34 8107.24 8118.53 8092.35 8142.23 8133.19 8135.77 8158.4 8118.01 8117.44 8102 8171.49 8115.86 8130.59 8167.56 8128.97 8106.85 8142.38 8128.23 8133.61 8138.02 8134.63 8122.41 8101.85 8158.21 8121.87 8118.53 8137.31 8151.02 8096.74 8083.79 8128.28 8101.16 8076.28 8083.05 8125.28 8160.46 8148.92 8127.4 8101.59 8116.55 8053.23 8075.39 8086.22 8066.48 8115.32 8058.08 8071.73 8096.91 8114.18 8089.15 8056.28 8096.87 8093.09 8107.67 8140.53 8097.82 8107.7 8092.29 8094.87 8112.63 8078.54 8112.22 8096.67 8084.19 8110.17 8081.21 8101.03 8156.31 8140.44 8144.85 8132.06 8146.75 8120.13 8078.95 8074.2 8047.28 8025.38 8087.44 8083.25 8073.98 8054.69 8078.66 8049.1 ...
8027.08 8030.48 8051.84 8053.14 8071.29 8055.21 8125.14 8078.12 8088.66 8066.28 8088.23 8122.83 8119.01 8168.8 8083.11 8138.18 8117.55 8118.47 8156.2 8148.97 8155.71 8142.36 8129.72 8174.38 8113.69 8155.96 8139.88 8125.8 8133.05 8095.7 8105.87 8135.92 8120.28 8146.81 8140.25 8140.91 8182.18 8138.57 8128.1 8136.92 8142.25 8109.74 8099.96 8165.19 8121.77 8155.19 8186.47 8150.21 8202.03 8156 8184.23 8207.17 8176.85 8150.14 8147.66 8163.57 8138.2 8124.88 8108.13 8109.92 8110.96 8119.05 8118.48 8109.66 8100.23 8113.92 8109.18 8094.58 8089.38 8102.25 8059.51 8090 8029.77 8051.08 8019.46 8028.62 8052.78 8020.07 8051.89 8061.86 8066.2 8055.71 8118.32 8088.48 8098.7 8057.77 8043.16 8069.36 8040.45 8082.19 8074.03 8096.58 8117.07 8063.68 8120.58 8057.13 8132.22 8084.16 8083.35 8096.31 ...
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Image Analyst on 6 Jun 2021
There is no place where those equations are equal:
clc; % Clear command window.
fprintf('Running %s.m ...\n', mfilename);
clear; % Delete all variables.
close all; % Close all figure windows except those created by imtool.
workspace; % Make sure the workspace panel is showing.
fontSize = 14;
c1=1;
d11=0.0100;
d12=-0.1421;
X1=[11500.2 11477.9 11417.3 11426.4 11413 11382.9 11375.1 11347.9 11351.1 11329.3 11318.9 11343.4 11360.7 11378.4 11414.2 11408.2 11413.6 11449.4 11444.1 11421.4 11388.5 11429.3 11438.1 11432.9 11408.2 11434.3 11444.8 11443.5 11491.8 11503.8 11581.8 11525.9 11529.5 11557.6 11523 11516 11504.1 11492.9 11480.3 11495.9 11445.1 11437.7 11468.5 11463 11488.5 11470.3 11491.1 11480.2 11488.9 11453.8 11456 11434.5 11460.6 11456.1 11454 11468.3 11464.4 11501 11453.8 11474.2 11458.2 11452.8 11434.6 11447.3 11379.5 11396.4 11409.9 11405.6 11433.3 11435.6 11434.2 11415.5 11483.6 11434.6 11452.2 11471.5 11445 11462.6 11433.3 11440.2 11442.3 11456 11408.6 11399.7 11369.8 11372.6 11401.4 11405 11426.6 11430.3 11405.6 11409.8 11405 11399.7 11381.2 11392.5 11383.6 11365.8 11362.4 11347.8 ...
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11374.2 11360.8 11329.8 11361.6 11346.2 11343.8 11313.9 11294.8 11277.7 11289.3 11295 11302.2 11329.8 11339.1 11352.2 11348.7 11353.5 11354.6 11356.4 11336.3 11327 11366.5 11362.4 11372.7 11367 11353.1 11390.2 11391.7 11400.2 11387.9 11371.3 11377.6 11390 11442.7 11429 11445.1 11449.3 11452 11385.5 11395.6 11387.1 11355.4 11334.4 11346.1 11317.3 11337.9 11330.4 11339.2 11351.5 11336.3 11362.8 11342.8 11357.4 11355.3 11364.1 11333.1 11345.1 11355 11349.8 11376.7 11367.7 11394.9 11421.2 11434.2 11459.5 11448.3 11446.3 11432.8 11441.2 11380.6 11395.9 11394.5 11380.9 11364.8 11336.5 11346.2 11376.7 11392.8 11330.1 11361.6 11334.2 11341.4 11327.7 11315.8 11344.8 11328.6 11341.5 11350.6 11363.7 11383.3 11375 11398 11381.4 11411.2 11426.3 11440 11432.5 11438 11436.1 11467.1...
11506.6 11461.1 11493.6 11487.1 11461.8 11417.7 11429.3 11406.7 11400.5 11401 11387.3 11399.4 11395.1 11401.3 11379.5 11400.8 11408.7 11447.4 11460.4 11458.7 11432.9 11454.1 11480.8 11474.9 11504.1 11463.2 11530 11539 11531.9 11524.3 11484.2 11521.7 11490 11498.9 11451.1 11461.9 11486.6 11459.8 11463.9 11464.4 11513.1 11529 11534.2 11547.4 11564.6 11566.9 11485.5 11502.6 11471.7 11501.8 11466.6 11410.4 11426.5 11390.9 11426.5 11363.5 11366.3 11389.5 11368.3 11329.5 11315.5 11329.6 11310.7 11318.2 11272.7 11320.9 11320.9 11326.6 11351.1 11330.3 11391.4 11390.9 11388.4 11364.3 11354.7 11374.6 11355 11357.8 11332.7 11376.9 11348.4 11339.5 11382 11370 11343.6 11335.1 11321 11327.7 11294 11302.5 11302.6 11304.3 11299.9 11294.7 11298.9 11305.2 11341 11363.8 11384.5 11389.7...
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11420.4 11392.9 11395.4 11389.9 11358.4 11370.3 11404.4 11406 11418.9 11404.7 11460.1 11472.4 11510.2 11472 11457.3 11493.7 11507.3 11512.8 11489.1 11481.3 11481.6 11451.9 11423.8 11336.1 11413.5 11412.1 11376.1 11368.6 11371.8 11361.7 11320.5 11294.2 11268.4 11302.5 11344.5 11320.8 11345.4 11308.4 11327.4 11337.9 11340 11354.1 11355.1 11376.6 11406.4 11422.9 11434.4 11441.6 11457.7 11474.1 11487.9 11489.5 11461.2 11477.4 11464.9 11506.4 11484.7 11476.8 11466.2 11746 11060.5 11805 11714 11676.6 11674.9 11609.2 11516.9 11505 11534.9 11527.1 11514.4 11513.6 11535.7 11450 11435.1 11390.1 11426.6 11406 11385.3 11359.2 11332.5 11327.7 11302.2 11296.2 11267 11269.5 11246.4 11260.3 11284.6 11268.1 11257.5 11258.9 11252.8 11259.1 11304.2 11286.2 11319.8 11441.8 11558.1 11648.4...
11671.6 11658.8 11612.9 11656.8 11823 11659.9 11559.5 11550 11601.1 11528.9 11489.8 11456.9 11447 11441.3 11456.1 11463.4 11443.9 11408.3 11414.5 11406.2 11408.4 11438.5 11427.3 11461.3 11444.7 11421.3 11413.1 11407.6 11421.8 11395 11379.2 11344.8 11333.3 11299 11296.6 11275.3 11275.4 11275.3 11268.8 11279.5 11304.4 11335.2 11284.6 11261.9 11256.3 11237.6 11242.8 11250.3 11298.5 11313.5 11262.5 11254.6 11256.5 11259.6 11258.3 11257.5 11269.6 11321.6 11369.7 11379.5 11356.1 11311.4 11309.1 11296.4 11322.4 11369.7 11398.9 11419.5 11399.9 11398.2 11425.6 11452.6 11476 11492 11438 11413.4 11441.6 11498.6 11481.6 11469.9 11448.4 11434.1 11452.9 11483.7 11463 11470.8 11447.8 11445.5 11446.8 11424.1 11438.2 11465.9 11454.2 11446.3 11448.6 11431.1 11428.8 11416.1 11407.1 11412.1...
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11359.4 11373.2 11339.4 11340.5 11343.4 11326.3 11332 11300.9 11335.2 11319.5 11327 11353.4 11358.1 11376.5 11356.3 11369.2 11381.7 11364.1 11392.4 11363.8 11376.8 11371.5 11366 11401 11366 11374.2 11347.6 11350.8 11354.1 11348.3 11377.9 11350.9 11384.9 11370.2 11378.9 11410.1 11399.8 11422.8 11390.8 11410.8 11377.9 11365.6 11390 11363 11373.6 11358.8 11350.5 11370.1 11377.4 11421.5 11392.7 11429.5 11429.2 11440.5 11469.2 11415.8 11402.9 11349.8 11338.3 11312.8 11319.9 11323.2 11316.9 11320.3 11304.7 11311 11360.6 11354.3 11396.2 11376.8 11390.6 11404.5 11413.7 11394.7 11377.3 11346.3 11358.1 11339.4 11379.6 11358.9 11372.3 11377.1 11367.6 11389.9 11360 11408.8 11376 11373.3 11344.2 11342.9 11355.1 11328.9 11348.1 11348.7 11350.8 11371.7 11362.2 11360.3 11338.7 11319.6 ...
11306.7 11320.4 11350.3 11314.6 11356.8 11356.7 11398.8 11377.8 11368 11365.7 11357.6 11368.1 11362.3 11385.3 11380.3 11398.1 11368.4 11390.9 11410.7 11371.2 11386.2 11375.6 11370.2 11401.5 11394.5 11388.7 11370.1 11391.7 11399.6 11393.8 11398.6 11417.7 11413.5 11397 11432.9 11415.3 11423.2 11402.4 11399.1 11402.7 11390.5 11421.6 11378.3 11409.1 11408.5 11408.3 11442.2 11410.2 11449.1 11428.1 11444.5 11461.2 11437.1 11380 11384.3 11380.8 11356.6 11371.3 11360.7 11384.6 11389.7 11364.9 11370.7 11354 11356.8 11380.4 11371.1 11396.3 11370 11392.6 11369.9 11382.5 11372.3 11359.6 11335 11324.7 11337.8 11338.7 11345 11321.7 11350.4 11345.6 11366.6 11346 11325 11331.1 11336.8 11337.5 11323.5 11337.6 11310.2 11316.2 11367.4 11346.4 11372 11379.5 11389.3 11374.4 11372.5 11371.7 ...
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X2=[8226.06 8234.99 8233.64 8237.88 8202.31 8221.06 8227.42 8218.15 8178.23 8171.49 8207.95 8185.35 8154.1 8199.58 8194.86 8208.41 8203.65 8196.02 8235.77 8223.88 8192.7 8193.73 8205.27 8226.7 8245.66 8220.71 8259.15 8248.48 8284.57 8286.82 8345.18 8279.08 8295.97 8273.65 8227.77 8205.47 8232.83 8167.27 8200.45 8236.65 8232.63 8247.13 8227.22 8217.31 8227.13 8180.41 8208.76 8228.25 8210.96 8174.71 8182.5 8209.88 8238.14 8245.51 8164.65 8192.09 8194.78 8194.36 8182.32 8236.12 8245.47 8207.3 8236.39 8282.31 8224.89 8218.68 8257.62 8215.52 8209.64 8223.77 8218.69 8213.66 8234.17 8229.77 8280.65 8237.61 8207.93 8193.78 8189.68 8167.78 8194.1 8190.04 8150.79 8217.72 8188.27 8214.29 8213.34 8212.68 8174.67 8190.03 8209.92 8188.18 8216.35 8200.95 8222.81 8246.59 8238.99 8249.34 8204.24 8217.16 ...
8210.35 8259.64 8197.23 8239.03 8207.05 8191.05 8203.94 8173.72 8176.97 8153.52 8160.5 8168.8 8185.04 8150.22 8158.93 8151.52 8111.29 8151.1 8097.85 8144.03 8140.46 8167.53 8159.25 8155.44 8156.78 8196.64 8143.66 8132.19 8138.97 8156.91 8170.51 8192.67 8218.02 8195.44 8208.8 8179.59 8183 8191.11 8233.25 8245.36 8194.83 8223.01 8201.91 8205.51 8212.19 8204.03 8204.12 8259.89 8242.94 8233.19 8258.76 8231.33 8235.68 8245.22 8247.8 8178.53 8219.02 8223.28 8158.23 8194.95 8202.36 8142.87 8163.35 8167.52 8159.81 8149.96 8174.4 8138.32 8128.75 8194.95 8179.86 8134.97 8141.51 8185.25 8128.94 8229.71 8151.01 8178.85 8203.2 8204.22 8216.75 8164.48 8169.25 8178.33 8158.7 8118.04 8094.7 8126.33 8150.82 8124.22 8113.7 8100.81 8135.34 8144.05 8158.51 8143.28 8143.6 8157.47 8208.36 8125.96 ...
8184.93 8145.76 8118.84 8143.85 8165.28 8154.06 8095.53 8138.86 8132.51 8227.04 8174.32 8179.97 8178.91 8169.49 8153.1 8091.13 8128.75 8146.08 8158.38 8146.54 8128.46 8145.7 8192.05 8168.78 8205.85 8151.25 8148.01 8184.38 8235.28 8184.78 8155.77 8158.95 8226.86 8248.3 8177.56 8237.23 8259.58 8283.72 8213.85 8247.76 8183.4 8187.61 8147.93 8130.08 8157.21 8141.87 8171.01 8138.22 8178.59 8178.8 8158.79 8114.83 8158.3 8126.95 8166.15 8149.29 8123.46 8122.4 8117.33 8138.1 8103.22 8104.56 8155.21 8188.46 8155.3 8163.98 8183.57 8195.58 8208.72 8171.84 8267.17 8182.96 8210.8 8191.56 8194.98 8204.95 8217.08 8284.39 8220.24 8200.02 8204.13 8198.1 8197.04 8195.33 8189.5 8190.71 8148.71 8134.98 8128.35 8139.34 8143.13 8153.06 8091.77 8128.33 8142.83 8163.67 8163.1 8135.13 8176.21 8175.64 ...
8181.47 8168.13 8189.35 8197.6 8208.93 8200.52 8196.93 8193.2 8233.31 8234.92 8210.2 8193.42 8191.09 8215.66 8191.28 8212.44 8166.89 8216.44 8189.97 8191.01 8189.85 8157.7 8186.43 8174.04 8199.55 8198.6 8193.82 8199.8 8225.71 8201.33 8179.32 8170.41 8181.38 8134.94 8122.67 8156.68 8110.73 8136.2 8120.86 8122.11 8123.78 8144.84 8157.86 8175.18 8188.47 8196.97 8249.58 8261.08 8218.11 8250.34 8248.6 8185.38 8211.3 8227.51 8203.39 8149.58 8187.58 8188.2 8200.56 8185.1 8192.67 8195.14 8215.06 8228.09 8194.95 8213.62 8207.75 8188.46 8191.82 8212.62 8180.37 8194.81 8196.28 8187.95 8141.25 8181.44 8154.69 8147.96 8129.54 8164.59 8148.13 8157.71 8144.59 8158.57 8146.95 8134.73 8081.59 8145.51 8122.86 8138.05 8151.14 8160.5 8176.72 8125.97 8117.96 8149.18 8139.71 8141.78 8144.03 8129.55 ...
8141.69 8161.22 8157.12 8235.79 8135.21 8161.28 8147.74 8191.95 8188.21 8196.57 8197.03 8222.23 8231.91 8237.34 8220.23 8265.16 8235.43 8243.56 8242.54 8251.76 8214.05 8231.24 8228.96 8209.11 8239.69 8255.56 8269.95 8229.03 8221.82 8263.55 8257.82 8214.61 8212.84 8213.05 8214.64 8150.89 8211.17 8175.03 8174.12 8193.35 8156.33 8162.19 8183.34 8183.74 8170.88 8180.07 8200.52 8250.46 8255.95 8202.63 8241.97 8215.22 8265.55 8203.03 8185.81 8169.04 8173.59 8159.21 8168.48 8164.32 8137.08 8118.61 8130.79 8118.49 8122.24 8145.2 8188.26 8192.85 8208.43 8165.7 8172.7 8212.71 8171.72 8183.29 8148.84 8197.59 8196.6 8171.99 8186.46 8172.19 8172.17 8135.82 8157.03 8147.96 8163.17 8188.74 8181.54 8193.91 8146.06 8144.29 8110.13 8133.68 8173.07 8159.61 8163.3 8135.27 8162.31 8144.74 8171.05 8226.62 ...
8224.07 8191.43 8198.75 8163.76 8131.72 8203.09 8092.84 8151.76 8123.07 8097.64 8132.75 8136.5 8195.33 8173.59 8151.37 8209.01 8188.89 8242.88 8155.55 8163.37 8194.16 8210.89 8197.51 8181.66 8201.93 8214.67 8171.52 8211.69 8164.74 8170.11 8162.67 8104.15 8140.16 8125.53 8142.41 8177.69 8174.64 8188.59 8202.09 8173.13 8171.76 8222.42 8122.13 8176.4 8202.41 8182.53 8214.41 8178.4 8210.24 8182.03 8195.21 8158.78 8146.4 8158.43 8106.62 8211.37 8188.66 8167.18 8195.58 8366.68 8319.86 8310.06 8294.43 8317.98 8282.51 8249.23 8227.91 8201.78 8202.2 8176.52 8206.58 8166.68 8214.91 8240.37 8203.23 8177.94 8192.38 8196.43 8184.06 8153.42 8146.81 8144.01 8108.88 8163.16 8142.94 8145.61 8151.11 8124.6 8128.91 8115.84 8134.59 8111.93 8120.73 8138.34 8211.09 8189.52 8189.86 8273.64 8297.49 8321.74 ...
8293.43 8260.55 8303.06 8299.15 8360.77 8329.79 8240.11 8230.51 8259.6 8197.68 8188.38 8183.48 8196.92 8166.36 8198.73 8164.93 8170.27 8147.03 8223 8138.94 8156.16 8164.39 8155.72 8178.98 8180.28 8190.69 8154.97 8193.14 8184.99 8172.17 8130.69 8142.55 8144.31 8115.72 8048.83 8075.45 8071.34 8064.61 8101.05 8090.44 8102.85 8126.25 8105.01 8092.98 8078.35 8087.25 8096.54 8073.06 8105.47 8121.79 8119.24 8101.02 8096.27 8079.21 8076.95 8089.91 8113.59 8098.24 8126.3 8169.81 8175.77 8134.34 8119.94 8136.28 8101.22 8150.51 8192.13 8179.82 8132.55 8133.62 8165.13 8183.43 8161.3 8179.33 8184.36 8154.11 8212.01 8205.37 8239.04 8146.78 8149.4 8168.6 8178.65 8165.64 8173.29 8172.32 8176.92 8195.25 8220.96 8175.41 8185.29 8170.03 8215.18 8204.93 8201.34 8173.33 8160.7 8176.72 8156.83 8165.31 ...
8157.87 8235.67 8181.53 8168.73 8136.67 8147.75 8177.77 8188.51 8160.16 8177.3 8149.09 8185.77 8144.27 8180.51 8175.4 8181.48 8137.63 8161.6 8181.94 8210.2 8182.66 8188.52 8129.08 8144.88 8178.94 8148.39 8182.95 8169.34 8139.76 8158.55 8118.04 8125.63 8171.23 8127.28 8145.29 8109.62 8124.71 8132.45 8112.67 8114.06 8113.31 8125.73 8096.24 8135.03 8092.65 8113.73 8124.21 8127.3 8135.47 8127.17 8168.6 8147.48 8169.64 8184.63 8198.8 8161.45 8217.57 8182.82 8160.87 8146.89 8117.93 8128.79 8151.23 8147.52 8122.01 8139.14 8106 8131.7 8134.35 8100.27 8145.79 8162.82 8108.69 8104.47 8125.88 8125.97 8116.38 8146.79 8088.69 8120.03 8097.53 8096.71 8119.56 8154.06 8118.71 8127.13 8133.21 8148.94 8178.64 8135.35 8159.48 8158.53 8146.53 8171.51 8103.67 8145.47 8122.18 8127.55 8088.76 8097.06 ...
8140.57 8146.75 8142.37 8100.94 8168.08 8124.65 8149.88 8151.18 8178.86 8147.66 8162.08 8142.38 8160.36 8163.35 8178.91 8143.07 8172.75 8161.33 8170.84 8145.67 8128.92 8114.74 8113.86 8125.33 8068.41 8051.2 8068.07 8052.68 8078.77 8075.73 8100.76 8058.76 8109.85 8123.14 8107.2 8125.7 8142.1 8130.18 8095.56 8108.59 8054.82 8080.38 8062.9 8032.11 8070.62 8039.36 8056.49 8035.93 8055.74 8019.63 8028.99 8045.89 8019.38 8048.76 8040.76 8053.07 8074.11 8059.87 8117.2 8161.72 8108.11 8085.76 8089.66 8101.81 8048.68 8129.06 8062.77 8089.87 8054.9 8055.97 8084.91 8078.51 8068.41 8048.12 8102.91 8068.5 8078.21 8127.31 8079.43 8093.2 8095.91 8100.71 8130.1 8121.39 8093.77 8089.13 8109.9 8113.07 8090.48 8111.66 8090.89 8073.06 8097.39 8068.79 8066.23 8067.98 8055.01 8101.63 8099.27 8086.71 ...
8096.21 8103.9 8095.26 8135.33 8104.26 8132.46 8109.49 8081.2 8098.03 8079.94 8066.3 8067.42 8065.8 8083.46 8075.46 8110.65 8114.34 8107.24 8118.53 8092.35 8142.23 8133.19 8135.77 8158.4 8118.01 8117.44 8102 8171.49 8115.86 8130.59 8167.56 8128.97 8106.85 8142.38 8128.23 8133.61 8138.02 8134.63 8122.41 8101.85 8158.21 8121.87 8118.53 8137.31 8151.02 8096.74 8083.79 8128.28 8101.16 8076.28 8083.05 8125.28 8160.46 8148.92 8127.4 8101.59 8116.55 8053.23 8075.39 8086.22 8066.48 8115.32 8058.08 8071.73 8096.91 8114.18 8089.15 8056.28 8096.87 8093.09 8107.67 8140.53 8097.82 8107.7 8092.29 8094.87 8112.63 8078.54 8112.22 8096.67 8084.19 8110.17 8081.21 8101.03 8156.31 8140.44 8144.85 8132.06 8146.75 8120.13 8078.95 8074.2 8047.28 8025.38 8087.44 8083.25 8073.98 8054.69 8078.66 8049.1 ...
8027.08 8030.48 8051.84 8053.14 8071.29 8055.21 8125.14 8078.12 8088.66 8066.28 8088.23 8122.83 8119.01 8168.8 8083.11 8138.18 8117.55 8118.47 8156.2 8148.97 8155.71 8142.36 8129.72 8174.38 8113.69 8155.96 8139.88 8125.8 8133.05 8095.7 8105.87 8135.92 8120.28 8146.81 8140.25 8140.91 8182.18 8138.57 8128.1 8136.92 8142.25 8109.74 8099.96 8165.19 8121.77 8155.19 8186.47 8150.21 8202.03 8156 8184.23 8207.17 8176.85 8150.14 8147.66 8163.57 8138.2 8124.88 8108.13 8109.92 8110.96 8119.05 8118.48 8109.66 8100.23 8113.92 8109.18 8094.58 8089.38 8102.25 8059.51 8090 8029.77 8051.08 8019.46 8028.62 8052.78 8020.07 8051.89 8061.86 8066.2 8055.71 8118.32 8088.48 8098.7 8057.77 8043.16 8069.36 8040.45 8082.19 8074.03 8096.58 8117.07 8063.68 8120.58 8057.13 8132.22 8084.16 8083.35 8096.31 ...
8103.3 8072.6 8083.32 8107.48 8072.39 8100.95 8128.31 8117.24 8107.33 8092.41 8152.53 8129.08 8119.26 8153.58 8090.23 8157.32 8144.45 8152.48 8136.19 8063.26 8086.34 8101.85 8123.43 8137.33 8113.49 8169.88 8099.16 8130.6 8148.71 8160.27 8144.55 8182.11 8121.19 8108.79 8150.1 8104.59 8176.42 8124.78 8148.67 8105.99 8153.15 8095.56 8153.23 8160.81 8116.26 8148.82 8121.18 8111.05 8110.94 8127.07 8102.71 8127.74 8089.68 8053.29 8050.64 8022.83 8046.84 8093.44 8050.45 8064 8103.42 8082.64 8090.93 8057.3 8030.26 8082.04 7999.1 8071.33 8021.39 8087.05 8045.42 8043.16 8052.49 8024.77 8083.58 8060.55 8067.42 8041.29 8080.22 8048.17 8047.75 8042.99 8056.78 8037.14 8051.18 8044.52 8044.64 8015.56 8065.05 8063.33 8075.15 8059.23 8073.28 8073.56 8024.31 8086.03 8069.31 8118.26 8079.33 8080];
subplot(2, 2, 1);
plot(X1, 'b-');
hold on;
plot(X2, 'r-');
grid on;
legend('X1', 'X2');
% X1(t1)-X1(t0) = c1+d11*X1(t0)+d12*X2(t0)
% Set up two images where we do every combination of t1 and t0
% ya = X1(t1)-X1(t0)
% yb = c1+d11*X1(t0)+d12*X2(t0)
[r1, c1] = size(X1)
[r2, c2] = size(X2)
ya = zeros(c1, c2);
yb = zeros(c1, c2);
for t1 = 1 : c1
for t0 = 1 : c2
ya(t0, t1) = X1(t1) - X2(t0);
yb(t0, t1) = c1+d11*X1(t0)+d12*X2(t0);
end
end
subplot(2, 2, 2);
imshow(ya, []);
title('ya', 'FontSize', fontSize);
xlabel('t1', 'FontSize', fontSize);
ylabel('t0', 'FontSize', fontSize);
impixelinfo;
subplot(2, 2, 3);
imshow(yb, []);
title('yb', 'FontSize', fontSize);
xlabel('t1', 'FontSize', fontSize);
ylabel('t0', 'FontSize', fontSize);
impixelinfo;
% Maximize figure window.
g = gcf;
g.WindowState = 'maximized';
fprintf('Done running %s.m\n', mfilename);
% Find out where ya equal yb
map = ya - yb;
subplot(2, 2, 4);
imshow(map, []);
impixelinfo;
title('ya - yb', 'FontSize', fontSize);
xlabel('t1', 'FontSize', fontSize);
ylabel('t0', 'FontSize', fontSize);
Nowhere does map equal zero meaning the two equations equal zero for some combination of t0 and t1.
>> min(map(:))
ans =
2565.265228
##### 2 CommentsShowHide 1 older comment
Image Analyst on 8 Jun 2021
@Haya Ali note in my code how I had for loops over both t0 and t1. That's how they are different. I get your formulas for every possible combination of the two.