Silverlight-MatrixTransform Detailed Introduction and How to Realize Other Transforms with It

This post focuses on how to use MatrixTransform to realize other transformations in Silverlight.

Essence of MatrixTransform: Every Piexels on element which needs to transform multiply matrix to get new coordinate of this point.

The following shows MatrixTransform 3*3 element image:

Number 0,0,1 are changless in silverlight so that we can ignor them. But there are four coordinate Matrix moudules (M11, M12,  M21, M22) we need to multiply.

Then, we can get the new coordinate points (X1, Y1) according to algorithm of old (X,Y) *matrix.

But the new point is not the final location. We need to plus offset point OffsetX and OffsetY to get the final coordinate point (X1+OffsetX, Y+OffsetY).

In conclusion, each coordinate point of original image must be calculated with this equation: X2=X*M11+Y*M21+OffsetX, Y2=X*M12+Y*M22+OffsetY to get the final coordinate point location.

The usage in source code is <MatrixTransform Matrix="M11 M12 M21 M22 OffsetX OffsetY"></MatrixTransform>.

Now, the following instance how to realize other transformations by MatrixTransform.

1. RotateTransform Effect

<! —a90°?transformation around central point (0,0)–>
    <Image Height=“50” HorizontalAlignment=“Left” VerticalAlignment=“Top” Margin=“48,49,0,0” Name=“image11” Stretch=“Fill”  Width=“50” Source=“/SLTrans;component/iPhone_001.png”  Opacity=“.3” />
<Image Height=“50” HorizontalAlignment=“Left” VerticalAlignment=“Top” Margin=“48,49,0,0” Name=“image1” Stretch=“Fill”  Width=“50” Source=“/SLTrans;component/iPhone_001.png” >
        <!–m11(0) m12(1)   m21(-1) m22(0)   OffsetX(0) OffsetY(0)–>
        <!–0*X+ -1*X=-1X    1*Y+0*Y =1Y   -1X+0     1Y+0      =>New Coordinate Point (-1X,1Y)  –>
        <MatrixTransform Matrix=“0 1 -1 0 0 0”></MatrixTransform>

2. ScaleTransform Effect

<!–0.6 times scale transform–>
 <ImageHeight=“50”HorizontalAlignment=“Left”VerticalAlignment=“Top”Margin=“139,49,0,0”Name=“image21”Stretch=“Fill”Width=“50”Source=“/SLTrans;component/iPhone_002.png” Opacity=“.3”/> <ImageHeight=“50”HorizontalAlignment=“Left”VerticalAlignment=“Top”Margin=“139,49,0,0”Name=“image2”Stretch=“Fill”Width=“50”Source=“/SLTrans;component/iPhone_002.png”>
            <!–m11(0.6) m12(0)   m21(0) m22(0.6)   OffsetX(0) OffsetY(0)–>
            <!–0.6*X+0*X=0.6X    0*Y+0.6*Y =0.6Y   0.6X+0     0.6Y+0      =>New Coordinate Point(0.6X,0.6Y)  –>
            <MatrixTransformMatrix=“0.6 0 0 0.6 0 0”></MatrixTransform>

3. SkewTransform Effect

<! —aSkew Transform–>
    <Image Height=“50” HorizontalAlignment=“Left” VerticalAlignment=“Top” Margin=“226,49,0,0” Name=“image31” Stretch=“Fill” Width=“50” Source=“/SLTrans;component/iPhone_003.png” Opacity=“.3”/>
    <Image Height=“50” HorizontalAlignment=“Left” VerticalAlignment=“Top” Margin=“226,49,0,0” Name=“image3” Stretch=“Fill” Width=“50” Source=“/SLTrans;component/iPhone_003.png” >
        <!–m11(1) m12(0)  m21(1) m22(1)  OffsetX(0) OffsetY(0)–>
        <!–1*X+1*X=2X     0*Y+1*Y =1Y    2X+0       1Y+0   =>New Coordinate Point(2X,0Y)  –>
        <MatrixTransform Matrix=“1 0 1 1 0 0”></MatrixTransform>

4. TranslateTransform Effect

    <Image Height=“50” HorizontalAlignment=“Left” VerticalAlignment=“Top” Margin=“331,49,0,0” Name=“image41” Stretch=“Fill” Width=“50” Source=“/SLTrans;component/iPhone_004.png” Opacity=“.3”/>
    <Image Height=“50” HorizontalAlignment=“Left” VerticalAlignment=“Top” Margin=“331,49,0,0” Name=“image4” Stretch=“Fill” Width=“50” Source=“/SLTrans;component/iPhone_004.png” >
            <!–m11(1) m12(0)  m21(0) m22(1) OffsetX(10) OffsetY(50)–>
            <!–1*X+0*X=2X     0*Y+1*Y =0Y   1X+10       1Y+50  => New Coordinate Point(1X+10,1Y+50)  –>
            <MatrixTransform Matrix=“1 0 0 1 10 50”></MatrixTransform>

5. TransformGroup Effect

<! —aOverturn around Y axle–>
    <Image Height=“50” HorizontalAlignment=“Left” VerticalAlignment=“Top” Margin=“426,49,0,0” Name=“image51” Stretch=“Fill” Width=“50” Source=“/SLTrans;component/iPhone_005.png” Opacity=“.3”/>
    <Image Height=“50” HorizontalAlignment=“Left” VerticalAlignment=“Top” Margin=“426,49,0,0” Name=“image5” Stretch=“Fill” Width=“50” Source=“/SLTrans;component/iPhone_005.png” >
            <!–m11(1) m12(0) m21(0) m22(-1)   OffsetX(0) OffsetY(100)–>
            <!–1*X+ 0*X=1X   0*Y+ -1*Y =-1Y   1X+0       -1Y+100  => New Coordinate Point(1X,-1Y)  –>
            <MatrixTransform Matrix=“1 0 0 -1 0 0”></MatrixTransform>

The following image shows the results.

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