Scaling from contour maps into a Sunlight flux map

Hi all! I made this contour map from an image of a concentrated sunlight into a focal spot. Image on the left is a contour map and the right is the 3D version of it. The current axis scaling is incorrect.

I know that the total power received is 7.2kW. The tip has the highest input power indicated in the yellow region and reduces towards the sides (blue regions).

I am not sure how I should approach it, my gut instincts tells me that the volume in the 2nd Image is = 7.2kW and if I can add up the number of cubes for a specific region, it should tell me the intensity of light?

Any suggestions/advice is appreciated!

The attached file is the matrix of the image.

[victor law]

Anyone have any ideas from what I have?

I have figured out an easy way to determine the volume but unsure what to do next.

volume = trapz(trapz(image))

I used trapz twice, as it requires two integrations.

Answer 1

[Image Analyst]

I don't know why you think it's wrong. But anyway to normalize the total power in the image you can divide by what power is there and multiply by 7.2

newData = data * 7.2 / sum(data(:));

Not sure what the peak height will be, but the sum of all the data will now be 7.2.

[victor law]

Thanks image Analyst,

Your solution has guided me well. It was actually a very simple step, V=1678, Pin=7200

All I did was Pin/V * graph, scaled the whole graph by this factor and it worked. In this case, each unit represented 1W and I could read off the Z axis for peak.