Matlab 如何使用X、Y和Z值的矩阵绘制等高线图？

M矩阵为：

M = [0  5   10  15  20  25  30  35  40  45
5   0.0137945780000000  0.0140902780000000  0.0141900320000000  0.0142399090000000  0.0142897860000000  0.0143111620000000  0.0143289750000000  0.0143432260000000  0.0143503510000000
10  0.0211336350000000  0.0218034130000000  0.0220955500000000  0.0222238060000000  0.0223413730000000  0.0223983750000000  0.0224304390000000  0.0224731910000000  0.0224803160000000
15  0.0293099150000000  0.0304570880000000  0.0309416080000000  0.0311945560000000  0.0313833770000000  0.0314795680000000  0.0315330080000000  0.0315900100000000  0.0316113860000000
20  0.0383127290000000  0.0401261180000000  0.0408457730000000  0.0412590400000000  0.0415333640000000  0.0416723080000000  0.0417684990000000  0.0418468770000000  0.0418753790000000
25  0.0486978520000000  0.0512202070000000  0.0522711890000000  0.0528697140000000  0.0532758560000000  0.0534718020000000  0.0536249960000000  0.0537247500000000  0.0537746270000000
30  0.0601945210000000  0.0635255980000000  0.0649399690000000  0.0657807550000000  0.0663151520000000  0.0665859130000000  0.0667818590000000  0.0669172400000000  0.0669778050000000
35  0.0730877480000000  0.0774769320000000  0.0794007620000000  0.0804838080000000  0.0811927750000000  0.0815561650000000  0.0818411770000000  0.0819979340000000  0.0820976880000000
40  0.0854358900000000  0.0909188070000000  0.0933699100000000  0.0946987780000000  0.0955823150000000  0.0960347710000000  0.0963874740000000  0.0965834190000000  0.0967366130000000
45  0.0994477890000000  0.106052941000000   0.109099006000000   0.110823328000000   0.111820870000000   0.112383769000000   0.112818412000000   0.113057109000000   0.113228116000000];

如何使用矩阵M绘制等高线图。。矩阵M的第一行和第一列将是每个值的坐标。。例如：

对于坐标5,5，等高线图的z值为0.01379458，对于坐标30,20，z值为0.06578076。其思想是绘制矩阵M的所有坐标，并使用z值绘制等高线图

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解决此问题的最佳方法是什么？

要绘制三维轮廓，可以使用。x值由

M（1,2:end）

给出。这意味着第一行，第2列，直到最后。y值

M（2:end，1）

相同。z是矩阵的其余部分：

M（2:end，2:end）

完整代码：

M = [0  5   10  15  20  25  30  35  40  45
5   0.0137945780000000  0.0140902780000000  0.0141900320000000  0.0142399090000000  0.0142897860000000  0.0143111620000000  0.0143289750000000  0.0143432260000000  0.0143503510000000
10  0.0211336350000000  0.0218034130000000  0.0220955500000000  0.0222238060000000  0.0223413730000000  0.0223983750000000  0.0224304390000000  0.0224731910000000  0.0224803160000000
15  0.0293099150000000  0.0304570880000000  0.0309416080000000  0.0311945560000000  0.0313833770000000  0.0314795680000000  0.0315330080000000  0.0315900100000000  0.0316113860000000
20  0.0383127290000000  0.0401261180000000  0.0408457730000000  0.0412590400000000  0.0415333640000000  0.0416723080000000  0.0417684990000000  0.0418468770000000  0.0418753790000000
25  0.0486978520000000  0.0512202070000000  0.0522711890000000  0.0528697140000000  0.0532758560000000  0.0534718020000000  0.0536249960000000  0.0537247500000000  0.0537746270000000
30  0.0601945210000000  0.0635255980000000  0.0649399690000000  0.0657807550000000  0.0663151520000000  0.0665859130000000  0.0667818590000000  0.0669172400000000  0.0669778050000000
35  0.0730877480000000  0.0774769320000000  0.0794007620000000  0.0804838080000000  0.0811927750000000  0.0815561650000000  0.0818411770000000  0.0819979340000000  0.0820976880000000
40  0.0854358900000000  0.0909188070000000  0.0933699100000000  0.0946987780000000  0.0955823150000000  0.0960347710000000  0.0963874740000000  0.0965834190000000  0.0967366130000000
45  0.0994477890000000  0.106052941000000   0.109099006000000   0.110823328000000   0.111820870000000   0.112383769000000   0.112818412000000   0.113057109000000   0.113228116000000];

contour3(M(1,2:end),M(2:end,1),M(2:end,2:end))

结果

如果需要更多级别，可以指定第四个输入参数。e、 g

contour3(M(1,2:end),M(2:end,1),M(2:end,2:end),50) 

给予