From: Subject: Grayscale conversion Date: Thu, 2 Oct 2008 10:53:19 +0200 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01C9247D.14C8B6A0" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.2180 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01C9247D.14C8B6A0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.platteau-delie.net/lang/us/project/math_and_graphics/grayscale_conversion.htm Grayscale conversion

Color to grayscale conversion

Written by Lorenzo = Platteau
December 2002
Based on: = -=20

How to convert a color image to a gray scale image? Probably you = never=20 thought about this when you simply applied the conversion in your = favourite=20 image processing software. The idea behind it is very simple, = though.

A color image consists out of pixels with red, green and blue (RGB) = color=20 variations. E.g. the colorvalue of a pixel can be one out of 256 (=3D=20 2⁸) variations of red, 256 variations of green and 256 = variations of=20 blue. So in this example the colorvalue of 1 pixel can be stored in 3 x = 8 bits =3D=20 24 bits.=20

Color Bits Value Hex

Red 8 0 - 255 00 - FF

Green 8 0 - 255 00 - FF

Blue 8 0 - 255 00 - FF

Color	Bits	Value	Hex
Red	8	0 - 255	00 - FF
Green	8	0 - 255	00 - FF
Blue	8	0 - 255	00 - FF

In most programming languages it is possible to read the colorvalue = of a=20 pixel as one number. This number could be in a Long, or a = Hex=20 notation. In case the colorvalue is a long, it has a value = between 0 and=20 256³ (=3D16777216). If it is in the hex notation, you = can have a=20 value between 000000 and FFFFFF.

If you want to convert this colorvalue to a grayscale value, you will = need to=20 calculate "an average" value of the red, green and blue component. Then = set the=20 red, green and blue component to the average value, and the grayscale = conversion=20 is finished! Thats it! How you can figure out the values of the red, = green and=20 blue components however, isn't always very clear. In most cases you are = obliged=20 to write your own function to extract the individual RGB values before = you can=20 calculate the average. Very often this procedure slows down the = conversion=20 process dramatically.

"Average" can be interpreted in many ways. The mathematically average = is=20 square(red² + green² + blue²). This = approach=20 however is quite slow to calculate. In fact all points that are = equidistant from=20 the origin =3D black (R =3D 0, G =3D 0, B =3D 0), would result in the = same grayvalue.=20 This would mean that red, blue and green result in the same kind of = gray. The=20 result is against our natural feeling, since most of us would assign a = brighter=20 gray to green, than to blue or red.

Luckily there are a lot of other possible approaches. Some = examples:

A=20 simple average of the colours, (red + green + blue) / 3=20

A weighted average in common use is ( 3 * red + 4 * blue + 2 * green = ) /=20 9

NTSC and PAL (TV) uses 0.299 * red + 0.587 * green + 0.114 * blue =

ITU-R Recommendation BT.709, "Basic Parameter Values for the Studio = and for=20 International Programme Exchange (1990) [formerly CCIR Rec. 709] =
grey =3D=20 0.2125 * red + 0.7154 * green + 0.0721 * blue

Of course you can = use your=20 own conversion factors.=20

Visual Basic

The default way

In VB you can get the colorvalue of a point using the=20 object.point(x,y) property. To assign this value to the = Long=20 integer RGBc for instance, you could use:

RGBc =3D picture1.Point(x,y)

There is no default function to split the RGBc variable in a red, = green and=20 blue component. It isn't even explained how to do it.=20

The following function needs a Long integer colorvalue, and returns = the red =3D=20 color(0), green =3D color(1) and blue =3D color(2) values. The average = value is=20 calculated in the same function, and it is available outside the = function for=20 further use.

Private Type col
    color(2) As Integer
End Type

Dim avg As Integer

Private Function GetRGB(RGBval As Long) As col
    GetRGB.color(0) =3D RGBval \ 1 And 255
    GetRGB.color(1) =3D RGBval \ 256 And 255
    GetRGB.color(2) =3D RGBval \ 256 ^ 2 And 255
    avg =3D CInt((GetRGB.color(0) + GetRGB.color(1) + GetRGB.color(2)) / =
3)
End Function

To put a pixel with the average value on the screen (or replace a = pixel of=20 the picture you are reading), you can use the following code:
object.PSet (x, y), RGB(avg, avg, avg)

I've tried this function to convert a 200x200 pixel image (150DPI), = and it=20 took about 5 minutes on a PI 100Mhz to convert a color image to gray = scale. It=20 works fine, but it's far too slow!

conclusion: the default VB functionalities work fine, but are = far too=20 slow to be acceptable.

The harder way

API calls
To speed up things a little, I could use = some API=20 calls. These are basic Windows functions, that are available in several = OLE and=20 ActiveX objects: dll's, ocx's, exe's. Everything can be handled using = the=20 correct API calls, however it is not always clear which API's to use. =

Instead of using the Point and PSet methods from Visual = Basic,=20 the API functions GetPixel and PutPixel could be used. = Using these=20 functions already speed up the things 2 to 3 times.

Declare Function GetPixel Lib "gdi32" (ByVal hdc = As Long,=20 ByVal x As Long, ByVal y As Long) As Long Declare Function SetPixel = Lib=20 "gdi32" (ByVal hdc As Long, ByVal x As Long, ByVal y As Long, ByVal = crColor As=20 Long) As Long

Scalemode =3D Pixels
A next reason why the = conversion could be=20 slow, is that Visual Basic needs to do a TwipsToPixel/PixelToTwips = conversion.=20 To avoid this, the Scalemode of the form/image can be set immediately to = Pixels.=20 This speeds up the process 12 times!

Cache hDC
Speed increment can also be achieved if = you cache=20 the hDC property into a variable. In this way you don't need to pass the = form,=20 or the picture to the API call every time. This example counts the = number of Red=20 pixels on the current form:

Declare Function GetPixel = Lib=20 "gdi32" (ByVal hdc As Long, ByVal x As Long, ByVal y As Long) As Long=20
' assumes that form's ScaleMode
' = is set to=20 3 - Pixels
Dim x As Long, y As Long =
Dim h As=20 Long, count As Long
' cache form's or = picture's=20 hDC property
h =3D Me.hdc
For y =3D = 0 To=20 ScaleHeight - 1
    For x =3D 0 To ScaleWidth -=20 1
        If GetPixel(h, x, = y) =3D=20 vbRed Then=20
           &nb= sp;count=20 =3D count + 1
        End If =
    Next
Next

Faster conversion function(s)

The simplest grayscale conversion method, is simply to take the green = value=20 and apply the same value to red and blue pixels.
This works well = because the=20 eye responds to green light in RGB colors much more strongly than to the = red and=20 blue values. Obviously completely saturated reds and blues will not be=20 represented this way. A more accurate conversion can be performed using = weighted=20 formulas of this type: (BrightnessOfRed * Red + BrightnessOfGreen * = Green +=20 BrightnessOfBlue * Blue) / (BrightnessOfRed + BrightnessOfGreen +=20 BrightnessOfBlue). Here are the two most commonly seen setups in = programming:=20

(a) Gray =3D (77 * Red + 150 * Green + 28 * Blue) / 255
(b) = Gray =3D=20 (222 * Red + 707 * Green + 71 * Blue) / 1000

Note that the two = formulas=20 lead to different results, however none is better or more correct than = the=20 other! This is because what these formulas attempt to express is the = eye's=20 (mind's) responsiveness to colors.

use hex notation

Why on earth would we use the hex notation? Well, color manipulation = is=20 probably one of the main reasons why the hex notation is used in = programming. In=20 Visual Basic the hexadecimal colornotation is quite easy to understand, = because=20 you can immediately see the red, green and blue colorvalue in it. An=20 example:

&H46FAC5

tells us the hexadecimal colorvalues:=20

red value: C5=20
green value: FA=20
blue value: 46

This means we can always use the following model:

&H46FAC5

To extract the green value for instance we first use the bitwise = And=20 operator, which is one of the fastest operations possible:

&H46FAC5& And = &HFF00&=20 --> &HFA00

To get rid of the last 2 zeroes, just devide with the hexadecimal 100 = (like=20 we would do with integer values). This is also superfast, since this is = the same=20 as a right bitshift of 8 bits (no calculation has to be done, only some = bits=20 have to be shifted in memory):

&HFA00& \ &H100& = -->=20 &HFA&

Below you find a list of some example GrayScale functions that really = put the=20 pedal to the metal.

Public Function GrayScale00(ByVal lColor As = Long) As=20 Long
Dim lGreenValue As Long
lGreenValue = =3D=20 (lColor And &HFF00&) \ = &H100&
=20 GrayScale00 =3D lGreenValue * &H10101
End Function

Public Function GrayScale01(ByVal lColor As Long) As=20 Long
    Dim lGrayValue As=20 Long
    lGrayValue =3D (77& * (lColor And=20 &HFF&) + 150& * (lColor And &HFF00&) \ = &H100& +=20 28& * ((lColor And &HFF0000) \ &H10000)) \=20 255&
    GrayScale01 =3D RGB(lGrayValue, = lGrayValue,=20 lGrayValue)
End Function

Public Function GrayScale02(ByVal lColor As = Long) As=20 Long
    Dim lGrayValue As=20 Long
    lGrayValue =3D (77& * (lColor And=20 &HFF&) + 150& * (lColor And &HFF00&) \ = &H100& +=20 28& * ((lColor And &HFF0000) \ &H10000)) \=20 255&
    GrayScale02 =3D lGrayValue * = &H10000 +=20 lGrayValue * &H100& + lGrayValue
End Function

Public Function GrayScale03(ByVal lColor As = Long) As=20 Long
Dim lGrayValue As Long
lGrayValue =3D (77& * (lColor And=20 &HFF&) + 150& * (lColor And &HFF00&) \ = &H100& +=20 28& * ((lColor And &HFF0000) \ &H10000)) \ 255& = GrayScale03 =3D=20 lGrayValue * &H10101
End Function

Public Function GrayScale04(ByVal lColor As = Long) As=20 Long
GrayScale04 =3D ((77& * (lColor And=20 &HFF&) + 150& * (lColor And &HFF00&) \ = &H100& +=20 28& * ((lColor And &HFF0000) \ &H10000)) \ 255&) * = &H10101=20
End Function

Public Function GrayScale05(ByVal lColor As = Long) As=20 Long
GrayScale05 =3D (77& * (lColor And=20 &HFF&) + 150& * (lColor And &HFF00&) \ = &H100& +=20 28& * ((lColor And &HFF0000) \ &H10000)) \=20 255&
GrayScale05 =3D GrayScale05 *=20 &H10101
End Function

Public Function GrayScale06(ByVal lColor As = Long,=20 Optional ByVal R As Long =3D 77, Optional ByVal G As Long =3D 150, = Optional ByVal B=20 As Long =3D 28 ) As Long
GrayScale06 =3D (R * = (lColor And=20 &HFF&) + G * (lColor And &HFF00&) \ &H100& + B * = ((lColor And &HFF0000) \ &H10000)) \=20 255&
GrayScale06 =3D GrayScale06 *=20 &H10101
End Function

Public Function GrayScale07(ByVal lColor As = Long) As=20 Long
GrayScale07 =3D ((77& * (lColor And=20 &HFF&) + 150& * (lColor And &HFF00&) \ = &H100& +=20 28& * ((lColor And &HFF0000) \ &H10000)) \ 256&) *=20 &H10101
End Function

Public Function GrayScale08(ByVal lColor As = Long) As=20 Long
    Dim lGrayValue As=20 Long
    lGrayValue =3D (77& * (lColor And=20 &HFF&) + 150& * (lColor And &HFF00&) \ = &H100& +=20 28& * ((lColor And &HFF0000) \ &H10000)) \=20 256&
    GrayScale08 =3D (lGrayValue + = 1&) *=20 &H10101
End Function

Public Function GrayScale09(ByVal lColor As = Long) As=20 Long
GrayScale09 =3D ((77& * (lColor And=20 &HFF&) + 152& * (lColor And &HFF00&) \ = &H100& +=20 28& * ((lColor And &HFF0000) \ &H10000)) \ 256&) *=20 &H10101
End Function

From GrayScale01 to 06, a fast integer division (\) is done by 255. = From=20 GrayScale07, it is done by 256. This simple change speeds up the process = 30%,=20 but results in some darker colors. This can be resolved by adding some = offset=20 (08), of increasing the weight of green (09).

So to convert our picture to grayscale we could use:

Declare Function GetPixel Lib "gdi32" (ByVal hdc = As Long,=20 ByVal x As Long, ByVal y As Long) As Long
Declare Function SetPixel = Lib=20 "gdi32" (ByVal hdc As Long, ByVal x As Long, ByVal y As Long, ByVal = crColor As=20 Long) As Long
' assumes that ScaleMode =
' is=20 set to 3 - Pixels
Dim x As Long, y As = Long
Dim=20 h As Long, i As Long
' cache form's or = picture's=20 hDC property
h =3D Picture1.hdc
For = y =3D 0 To=20 Picture1.ScaleHeight - 1
    For x =3D 0 To=20 Picture1.ScaleWidth - = 1
         i =3D=20 SetPixel(h,x,y,GrayScale09(GetPixel(h, x, = y)))
    Next=20
Next

example code:

Extract grayscale.z= ip if=20 you want an example project. It contains a default color image. You can = use 10=20 different functions to convert the original image to a grayscale image. = Of=20 course you can make this program more flexible, e.g. by making your own=20 conversion functions, or adding open/save picture functionalities...=20

- = the=20 program in action -

The hardcore way

The conversion is already fast, but we could go faster. We could do = all=20 operations in memory using a device dependent bitmap = (DDB), or a=20 device independent bitmap (DIB). The last one is the = fastest,=20 because it directly manipulates the bits in the bitmap, but it requires = much=20 more work (and knowledge) to implement. For the DIB conversion, you will = even=20 need additional information about the internal bitmap file structure. = It's nice=20 to know, but a hell of job to implement adequate functions. If you like = more=20 information about DDB and DIB you can start your search in the MSDN=20 knowledgebase. You could also look after related API functions on the = internet:=20 GetDIBits, SetDIBits, BitBlt, CreateBitmap, CreateCompatibleDC,=20 CreateCompatibleBitmap.

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