Linear regression for coefficients regression

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I'm trying to optimized 5 coefficients thanks to the comparaison of 2 raster images (.tiff). The equation looks like this : y = a1 + a2x + a3x^2 + a4x^3 + a5x^4 with x & y the pixel value of the 2 raster images and a the coefficients to optimize.

I'm facing 2 main issues :

  • One of the raster is greater than the other (one is 608,232 and the other is 608,231)
  • A lot of pixel have NA value in those raster images so I only want to do this optimization for matching pixels.

I search a lot in the gdal library to do so but don't find anything to do this. Do anybody have an idea of how to do this ? Thank's a lot

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