If I have a series of pixels, which range from say -500 to +1000, how would I normalize all the pixels on the same gradient so that they fall between a specific range, say 0 and 255?
Some sudo code may help:
foreach( pixel_value in pixel_values): # between -500 and 1000
position = (pixel_value + 500) / 1500 # gives you a 0 to 1 decimal
new_value = int(postion * 255) # or instead of casting, you could round it off
That's python code by the way.
Some pseudocode like this would scale values linearly from one range to another
oldmin=-500
oldmax=1000
oldrange=oldmax-oldmin;
newmin=0
newmax=255;
newrange=newmax-newmin;
foreach(oldvalue)
{
//where in the old scale is this value (0...1)
scale=(oldvalue-oldmin)/oldrange;
//place this scale in the new range
newvalue=(newrange*scale)+newmin
}
First make it all positive. If the minimum is -500 then add 500 to all values. Then the minimum would be 0, and the maximum would be 1500.
Then it is just a rule of three and you have it:
[value in 0,255] = 255*(Pixel/1500)
Your question isn't very clear so I'm going to assume that you're doing some kind of image processing and the results you get are values from -500 to 1000 and now you need to save the color to a file where every value needs to be between 0 and 255.
How you do this is really very dependent in the application, what is really the meaning of the results and what exactly you want to do. The two main options are:
- clamp the values - anything under 0 you replace by 0 and anything above 255 you replace by 255. You'll want to do this for instnace if your image processing is some kind of interpolation which really shouldn't reach these values
Linear normalization - linearly may your minimal value to 0 and your maximal value to 255. Of course you'll first need to find the minimum and maximum. You do:
v = (origv - min)/(max - min) * 255.0
What this does is first map the values to [0,1] and then stretch them back to [0,255].
A third option is to mix and match between these two options. Your application might demand that you treat negative values as unneeded values and clamp them to 0 and positive values to linearly map to [0,255].
Create two variables, MinInputValue
and MaxInputValue
. Initialize MinInputValue
to a very large positive number (higher than the largest pixel value you ever expect to see) and MaxInputValue
to a very large negative number (lower than the lowest pixel value you ever expect to see).
Loop over every pixel in the image. For each pixel, if the pixel value PixelValue
is lower than MinInputValue
, set MinInputValue
to PixelValue
. If the pixel value is higher than MaxInputValue
, set MaxInputValue
to PixelValue
.
Create a new variable, InputValueRange
, and set it to MaxInputValue - MinInputValue
.
Once this is done, loop over every pixel in the image again. For each pixel PixelValue
, calculate the output pixel value as 255.0 * (PixelValue - MinInputValue) / InputValueRange
. You can assign this new value back to the original PixelValue
, or you can set the corresponding pixel in an output image of the same size.