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ColorMatrix Basics - Simple Image Color Adjustment

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2 Apr 2003CPOL3 min read 476.7K   95   68
A beginners guide to using the GDI+ ColorMatrix.

Color Image Grayscale Image Blue Image

Introduction

This article discusses color operations on digital images, using the new ColorMatrix class provided by GDI+. The ColorMatrix is a welcome addition to the GDI library, especially with the increase in demand of digital imaging applications, as more and more consumer products are made available. This class, as well as many other new GDI classes, provide more control to the developer and reduce dependence on 3rd party applications such as LEAD tools, and others. Some basic knowledge of matrix operations (multiplication, addition, etc), the RGBA colorspace and GDI+ is assumed.

Background

ColorMatrix operations are performed in the RGBA colorspace (red, green, blue, alpha). A ColorMatrix consists of a 5x5 matrix, with color values normalized to 1 for full intensity (255 -> 1.0). You might expect the matrix to be 4x4 ( [R, G, B, A] ), which would be sufficient if we only needed to perform linear transformations (multiplication: scaling, rotation, etc). However, one of the most frequent color manipulations, color adjustment, requires adding color values. This is a non-linear operation, referred to as a translation. Adding a 5th element to the color vector ( [R, G, B, A, w] ) combines these two operations, linear and non-linear, into a single operation called an affine transformation. The 5th element of the color vector is simply a dummy element, always with a value of 1, which only serves to allow a translation (addition) of the color vector.

The example below scales the color vector [255, 128, 102, 255] by .5 and then adds a value of 26 to the R, G and B components, leaving the A component at full intensity. Remember that the component values are normalized, with full intensity, 255, equal to 1.0 (values have been rounded to the nearest tenth). Also notice the addition of the 5th element to the color vector, which is simply ignored in the resultant color vector.

Image 4

This takes the color Image 5 and transforms it to Image 6.

Now that we've covered the basic principle of the ColorMatrix and it's operations on color vectors, we can start exploring some practical uses.

Applying the code

Applying a ColorMatrix to an image is quite simple. You must first associate a ColorMatrix object with an ImageAttributes object. Then you simply pass the ImageAttributes object as a parameter to the Graphics.DrawImage method.

Color adjustment is one of the more common color operations applied to digital images. The code to do this might look as follows:

VB
Public Function translate(ByVal img As Image, ByVal red As Single, _
                       ByVal green As Single, ByVal blue As Single, _
                       Optional ByVal alpha As Single = 0) As Boolean

    
    Dim sr, sg, sb, sa As Single
    
    ' noramlize the color components to 1
    sr = red / 255
    sg = green / 255
    sb = blue / 255
    sa = alpha / 255
 
    ' create the color matrix
    dim New ColorMatrix(New Single()() _
                       {New Single() {1, 0, 0, 0, 0}, _
                        New Single() {0, 1, 0, 0, 0}, _
                        New Single() {0, 0, 1, 0, 0}, _
                        New Single() {0, 0, 0, 1, 0}, _
                        New Single() {sr, sg, sb, sa, 1}})

    ' apply the matrix to the image
    Return draw_adjusted_image(img, cm)

End Function
        
                               
Private Function draw_adjusted_image(ByVal img As Image, _
                ByVal cm As ColorMatrix) As Boolean


    Try
        Dim bmp As New Bitmap(img) ' create a copy of the source image 
        Dim imgattr As New ImageAttributes()
        Dim rc As New Rectangle(0, 0, img.Width, img.Height)
        Dim g As Graphics = Graphics.FromImage(img)

        ' associate the ColorMatrix object with an ImageAttributes object
        imgattr.SetColorMatrix(cm) 

        ' draw the copy of the source image back over the original image, 
        'applying the ColorMatrix
        g.DrawImage(bmp, rc, 0, 0, img.Width, img.Height, _
                               GraphicsUnit.Pixel, imgattr)

        g.Dispose()

        Return True

    Catch
        Return False
    End Try

End Function

Conversion to grayscale is another common conversion. Grayscale values are determined by calculating the luminosity of a color, which is a weighted average of the R, G and B color components. The average is weighted according to the sensitivity of the human eye to each color component. The weights used here are as given by the NTSC (North America Television Standards Committee) and are widely accepted.

VB
Public Function grayscale(ByVal img As Image) As Boolean


    Dim cm As ColorMatrix = New ColorMatrix(New Single()() _
                           {New Single() {0.299, 0.299, 0.299, 0, 0}, _
                            New Single() {0.587, 0.587, 0.587, 0, 0}, _
                            New Single() {0.114, 0.114, 0.114, 0, 0}, _
                            New Single() {0, 0, 0, 1, 0}, _
                            New Single() {0, 0, 0, 0, 1}})


    Return draw_adjusted_image(img, cm)
    
End Function

The code below creates a digital negative:

VB
Public Function negative(ByVal img As Image) As Boolean

    Dim cm As ColorMatrix = New ColorMatrix(New Single()() _
                           {New Single() {-1, 0, 0, 0, 0}, _
                            New Single() {0, -1, 0, 0, 0}, _
                            New Single() {0, 0, -1, 0, 0}, _
                            New Single() {0, 0, 0, 1, 0}, _
                            New Single() {0, 0, 0, 0, 1}})

    Return draw_adjusted_image(img, cm)

End Function

Color channel separations, alpha transparency adjustment, image toning (Sepia, etc) are just a few more common operations that can be easily performed with a ColorMatrix.

License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)


Written By
Architect
United States United States
Michael has been developing software for about 19 years primarily in C#, C/C++, Fortran, and Visual Basic. His previous experience includes Internet data services (communication protocols, data storage and GIS) for the mortgage industry, oil platform instrumentation and explosives simulation and testing. He holds a B.S. in astrophysics and computer science. He is currently working for Global Software in Oklahoma City developing law enforcement and emergency services related software.

Comments and Discussions

 
GeneralRe: avg rgb values Pin
MikeDC28-Sep-06 2:38
MikeDC28-Sep-06 2:38 
GeneralImage Manipulation Pin
tantang1215-Jun-03 18:20
susstantang1215-Jun-03 18:20 
GeneralRe: Image Manipulation Pin
Anonymous27-Aug-03 21:34
Anonymous27-Aug-03 21:34 
GeneralRe: Image Manipulation Pin
len00x13-Sep-03 5:59
len00x13-Sep-03 5:59 
GeneralRe: Image Manipulation Pin
headspin30-Jan-06 8:50
headspin30-Jan-06 8:50 
GeneralActually I think MS missed a chance here Pin
yvdh8-Apr-03 13:22
yvdh8-Apr-03 13:22 
GeneralRe: Actually I think MS missed a chance here Pin
Michael Combs14-Apr-03 7:30
Michael Combs14-Apr-03 7:30 
GeneralRe: Actually I think MS missed a chance here Pin
yvdh26-Apr-03 6:30
yvdh26-Apr-03 6:30 
Hello,

great to know that the colormatrix can be used to render into another image (I still wrote a class that does the same using unmanaged pointers in C# that gives more flexibility).

Regarding gamma-correction, most of the time it is INCLUDED in the data, and the OS does nothing during rendering. This is bizarre in that it assumes that you are displaying with a CRT monitor with gamma of about 2.2. The reason for this is that gamma-corrected RGB values (R*G*B*) are more 'compact', and need less bits to store data accurately: about 8 bits suffice. Linear light RGB values (no gamma correction) need at least 12-14 bits per color channel in order to avoid visual artefacts in the darker colors, and just aren't practical to work with. This means that many images on the net are actually already output-rendered (Mac images maybe pre-rendered with an gamma of 1.8 I think, because there is an additional gamma factor in the MAc OS!).

Reagarding the NTSC standards, they are indeed based on the human visual system, but ALSO on the NTSC primaries which are NOT relevant for modern computer monitors! The formula is also very approximative. CIE L*a*b* is NOT an arbitrary adjustment at all. You are probably thinking about the generic RGB to CIE L*a*b* tansform given in many image processing textbooks, which is misguiding if not wrong: each RGB color space has a well-defined transform to CIE XYZ, which can then be transformed to CIE L*a*b*. Thus, NTSC RGB should have a transform to CIE XYZ and thus to lightness L*. However, most of the time the actual RGB space used to encode an image is unknown, and in that sense ANY lightness formula will do. I, however advise to use one based on sRGB, as many printers, monitors and digital cameras are starting to use this color space.

I do not agreee with your comments about color space transformations in GDI+. It is not necessary to include inside GDI+ all the possible transformations, only to allow the possibility to perform transformations on linear-light values and not only on gamma-corrected values! Practically this means that when doing a color space transformation one needs to transform a gamma-corrected integer pixel value to a floating point linear light representation, then apply the transformation, and then recode into a integer
(gamma-corrected) value. At first sight this isn't possible in GDI+ with the colormatrix as it operates directly on the gamma-corrected raw data, and it is this fact that prevents physics (=linear-light!!!!) or human vision (=CIE L*a*b* or other perceptually uniform color space) based image processing to be implemented without first writing extra classes. A workaround maybe to transform the input image into a 16-bit per channel linear-light or L*a*b* integer representation, and let the colormatrix operate on that ....

Yves



GeneralGood! Pin
NormDroid3-Apr-03 20:56
professionalNormDroid3-Apr-03 20:56 
GeneralXP Toolbar Alpha Transparency Example Pin
PSCRyan15-Mar-03 8:37
PSCRyan15-Mar-03 8:37 
GeneralRe: XP Toolbar Alpha Transparency Example Pin
Michael Combs16-Mar-03 6:06
Michael Combs16-Mar-03 6:06 
GeneralRe: XP Toolbar Alpha Transparency Example Pin
Abnormalcy7-Aug-03 11:19
Abnormalcy7-Aug-03 11:19 
GeneralAny Chance of some more examples Pin
FruitBatInShades13-Mar-03 10:33
FruitBatInShades13-Mar-03 10:33 
GeneralRe: Any Chance of some more examples Pin
Michael Combs13-Mar-03 11:11
Michael Combs13-Mar-03 11:11 
GeneralRe: Any Chance of some more examples Pin
FruitBatInShades13-Mar-03 23:01
FruitBatInShades13-Mar-03 23:01 
GeneralRe: Any Chance of some more examples Pin
MrPolite5-Sep-03 21:45
MrPolite5-Sep-03 21:45 
GeneralRe: Any Chance of some more examples Pin
Michael Combs8-Sep-03 4:56
Michael Combs8-Sep-03 4:56 
GeneralRe: Any Chance of some more examples Pin
Olivier DALET16-Feb-05 22:42
Olivier DALET16-Feb-05 22:42 
GeneralSample please... Pin
Paul Selormey12-Mar-03 12:50
Paul Selormey12-Mar-03 12:50 

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