DIPlib Documentation - ©1995-2009 Quantitative Imaging Group, Delft University of Technology.

# ContrastStretch

Point operation

## SYNOPSIS

`#include "dip_point.h"`

dip_Error dip_ContrastStretch ( in, out, lowerBound, upperBound, outMaximum, outMinimum, method, sigmoidSlope, sigmoidPoint, maxDecade )

## DATA TYPES

integer, float

## FUNCTION

`ContrastStretch` stretches the pixel values of the input image. Pixel values higher or equal to `UpperBound` are stretched to the `OutMaximum` value. A similar thing holds for `LowerBound` and `OutMinimum`. `Method` determines how pixel values are stretched. `SigmoidSlope` and `SigmoidPoint` are used by the `DIP_CST_SIGMOID` method. `MaxDecade` determines the maximum number of decades the method `DIP_CST_DECADE` will stretch (values lower than `MaxDecade` will be set to zero).

## ARGUMENTS

Data type | Name | Description
`dip_Image` | `in` | Input
`dip_Image` | `out` | Output
`dip_float` | `lowerBound` | LowerBound (%)
`dip_float` | `upperBound` | UpperBound (%)
`dip_float` | `outMax` | OutMaximum
`dip_float` | `outMin` | OutMinimum
`dipf_ContrastStretch` | `method` | Method
`dip_float` | `sigmoidSlope` | SigmoidSlope
`dip_float` | `sigmoidPoint` | SigmoidPoint
`dip_float` | `maxDecade` | MaxDecade

The following `dipf_ContrastStretch` flags are defined:

Name | Description
`DIP_CST_LINEAR` | linear contrast stretch
`DIP_CST_SIGNED_LINEAR` | linear stretch with zero at fixed value
`DIP_CST_LOGARITHMIC` | logarithmic contrast stretch
`DIP_CST_SIGNED_LOGARITHMIC` | signed logarithmic contrast stretch
`DIP_CST_ERF` | linear contrast stretch with erf clipping
`DIP_CST_DECADE` | Decade contrast stretching
`DIP_CST_SIGMOID` | Contrast stretched by sigmoid function
`DIP_CST_CLIP` | Simple clipping
`DIP_CST_01` | Stretching of [0,1] input values
`DIP_CST_PI` | Stretching of [-Pi,Pi] input values

In the explanaition of the different contrast stretch flags, the variables `input`, `output`, `inMin`, `inMax`, `outMin` and `outMax` are used. With `input` and `output` is meant the pixel being processed of respecitively the input and output image. `inMin` and `inMax` are the pixel values corresponding to the `lowerBound` and `upperBound` of the input image. `outMin` and `outMax` are parameters passed to the function `dip_ContrastStretch`.

The `DIP_CST_LINEAR` stretches the `input` in the following way:

       scale  = (outMax - outMin) / (inMax - inMin)
       output = scale * (MIN(inMax, MAX(inMin, input )) - inMin) + outMin

The `DIP_CST_SIGNED_LINEAR` stretches the `input` in the following way:

       max    = MAX(inMax, ABS( inMin ));
       scale  = (outMax - outMin) / (2 * max)
       offset = (outMax - outMin)/ 2
       output = scale * (MIN(inMax, MAX(inMin, input)) - offset) + outMin

The `DIP_CST_LOGARITHMIC` stretches the `input` in the following way:

       scale  = (outMax - outMin) / log( inMax - inMin + 1)
       offset = inMin - 1
       output = scale * log(MIN(inMax, MAX(inMin, input)) - offset) + outMin

The `DIP_CST_SIGNED_LOGARITHMIC` stretches the `input` in the following way:

       max    = MAX(inMax, ABS( inMin ))
       scale  = (outMax - outMin) / (2 * log( max + 1))
       offset = (outMax + outMin)/ 2
       output = scale * log(MIN(inMax, MAX(inMin, input))- offset) + outMin

The `DIP_CST_ERF` stretches the `input` in the following way:

       scale     = (outMax - outMin) / (inMax - inMin)
       threshold = (inMax + inMin)/ 2
       range     = inMax - inMin
       in        = MIN(inMax, MAX(inMin, input))
       out       = (range / 2) * erf( SQRT_PI * (in - threshold) / range )
       output    = scale * (out + threshold ) + outMin

The `DIP_CST_DECADE` stretches the `input` in the following way:

       inScale   = inMax - inMin
       outScale  = outMax - outMin
       in        = MIN(inMax, DIP_MAX(inMin, input))
       decade    = log10(inScale / ( in - inMin + EPSILON))
       if(decade < maxDecade)
          decade -= floor(decade)
          output  = outScale * (1 - decade) + outMin
       else
          output  = 0

The `DIP_CST_SIGMOID` stretches the `input` in the following way:

       SIGMOID(x) = x / (1. + ABS(x))
       min        = SIGMOID(sigmoidSlope * inMin + sigmoidPoint)
       max        = SIGMOID(sigmoidSlope * inMax + sigmoidPoint)
       scale      = (outMax - outMin) /(max - min)
       in         = MIN(inMax, MAX(inMin, input))
       output     = scale * (SIGMOID(slope * in + point) - min) + outMin

The `DIP_CST_CLIP` stretches the `input` in the following way:

       output = MIN(outMax, MAX(outMin, input))

The `DIP_CST_01` stretches the `input` in the following way:

       scale  = (outMax - outMin)
       output = scale * input + outMin

The `DIP_CST_01` stretches the `input` in the following way:

       scale  = (outMax - outMin) / 2 * Pi
       output = scale * (input + Pi) + outMin

## SEE ALSO

See section 9.1, "Histogram-based operations", in "Fundamentals of Image Processing".

`Clip`, `ErfClip`

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