Interpolate between two lines

Question

Jenny 2013-9-11

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https://ww2.mathworks.cn/matlabcentral/answers/86897-interpolate-between-two-lines

评论： dpb 2014-3-8

I have data at 5m depth and data at 25m depth. I need to interpolate between these two points to get data at 15m depth.

data5m=[7.0 9.0 6.0 11.0 11.8 11.8 5.0 4.9 5.0 5.5 5.6 5.9 6.0 4.6 4.5 6.5 7.7 5.0 6.4 5.5 5.5 6.2 9.9 11.0] data15m=[5.8 6.0 6.6 5.1 7.1 5.4 7.4 7.4 7.2 7.6 7.7 7.2 8.0 7.6 6.5 7.0 6.8 6.2 5.0 5.2 4.6 6.4 6.3 5.8 ].

How do I interpolate to get values at 15m?

Is it possible to use a logarithmic profile between the two points to interpolate to 15m?

Thank you, Jenny

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Answer 1

dpb 2013-9-11

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在 MATLAB Online 中打开

Since 10 is midpoint between 5 and 25, linear interpolation would simply be the average. But, in general, interp1 is your friend...

>> interp1([5 25]',y,15)
ans =
6.40  7.50  6.30  8.05  9.45  8.60  6.20  6.15  6.10  6.55  6.65 ...     
>> mean(y)
ans =
6.40  7.50  6.30  8.05  9.45  8.60  6.20  6.15  6.10  6.55  6.65 ...

Logarithmically, ...

>> 10.^(interp1([5 25]',log10(y),15))
ans =
Columns 1 through 9
  6.3718    7.3485    6.2929    7.4900    9.1531    7.9825    6.0828    6.0216    6.0000
Columns 10 through 18
  6.4653    6.5666    6.5177    6.9282    5.9127    5.4083    6.7454    7.2360    5.5678
Columns 19 through 24
  5.6569    5.3479    5.0299    6.2992    7.8975    7.9875
>>