How does the bicubic interpolation downscales the image using imresize function ?

I want the theorotical explanation of the imresize function for downscaling the image. I have referred to the following
I have understood how the indices are calculated in imresize function, but I am confused about how the weights are calculated in imresize function.

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Thank you, I will go through it.
There is one hidden function named imresizemex, can you tell me what this function does ?

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