Constrast stretching expressions

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Constrast stretching expressions

Nicholas Verge
Hello,

I would be grateful if someone could please define for me or direct me to  
a definitive online resource that gives the expressions used for the  
various forms of image histogram stretching/constrast stretching.  
Alternatively, please recommend a textbook that gives the same.

I am especially trying to locates expressions for

Arbitary linear stretch
Maximum-minimum stretch
Arbitary linear stretch with histogram clipping (A.K.A the Saturation  
stretch)
Equalisation stretch
Normalisation (A.K.A the gaussian) stretch
Log stretch
Exponential stretch
Power-law stretch
Ends-in stretch

There are numerous websites that provide some of these expressions, but I  
have not been able to find not one that provides them all. Moreover, most  
do not provide the term used to scale the results of these expressions to  
the bit dpth of the image(channel). I dont need samples of program code to  
perform these operations.

I realise this is a rather basic request, but text-books and my  
web-searches have not been of much help thus far.

Thank you for any help and information your can provide.


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Nicholas J. Verge