Reflection removal on InfraRed Temp. spatial data in R

I got lots of spatial temperature data as matrix (227 x 454). The data represents temperatures recorded by an IR camera on the water surface. When plotting the data I get two reflections, from the camera and from a tree which was above the camera. In addition, I also get a heat signal which represents warm water patches on the water surface (this is on what I am interested).

So far I have managed to remove the reflection from the camera using SVD. However I cant manage to remove the tree reflection from the image, I have tried SVD, FFT, Klusters...I also wanted to use Wavelets but my data matrix is not squared. Do you know which method should I use in order to get rid of that reflection? or any suggestions or ideas to improve my image?

Here are the original plot and the data after the SVD ( without camera reflection, circle in the middle). On the SVD image, the area that is interesting for me is the warm water on the top right of the plot, the rest (bottom warm area and the yellowish/greenish areas on the most of the left side of the plot) belong to the tree reflection.

original plot

after SVD plot

Thanks a lot for your input :)

cheers!

amaia