Help with coding a bilinear interpolation function

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Taras Goral 2018-7-19

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https://ww2.mathworks.cn/matlabcentral/answers/411130-help-with-coding-a-bilinear-interpolation-function

评论： Taras Goral 2018-8-1

My specific problem involves taking, let's say, matrix1, which contains a n*m two dimensional array with a variable set to a certain value at each point, and interpolating the variable values at each point to points in matrix2, which contains a finer mesh of points in the same domain n*m.

I found that for my needs, I will be using a bilinear interpolation, but have some questions in how to code in within MatLab. First, is there any function to easily do this, or if not, how could I find and identify the four nearest points (in the image, 1, 2, 3 and 4) in matrix1 that bound a single point in matrix2 (5)?

Image for reference: https://imgur.com/jfiMtYf

After that, I think I could manage coding the bilinear interpolation itself (finding the two x-axis points and using those to find the point in matrix2).

Thanks for any answers in advance for my question about identifying the four bounding points.