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8: Wavelet Analysis
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Image Processing
Preprocess images to improve performance of image processing functions. Consider an example of extracting image lines in an image.
In[1]:=
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In[2]:=
X
dwd = DiscreteWaveletTransform[img, SymletWavelet[4], 3];
In[3]:=
X
wimg = WaveletImagePlot[dwd, Automatic, ImageAdjust[ Sharpen[ImageAdjust[ImageApply[Abs, #]]], {0.2, 0.8}] &];
In[4]:=
X
verimg = InverseWaveletTransform[dwd, Automatic, {___, 1 | 3}];
In[5]:=
X
preimg = Threshold[ImageAdjust[verimg], 0.5];
In[6]:=
X
vlines = ImageLines[preimg, 0.12];
In[7]:=
X
fimg = Show[img, Graphics[{Thick, Blue, Opacity[0.5], Line /@ vlines}]];
In[8]:=
X
sty = Directive[14, FontFamily -> "Verdana", Bold];
In[9]:=
X
Grid[{{Labeled[Image[img, ImageSize -> 250], Style["Original Image", sty], Top], \!\(\* GraphicsBox[ {Thickness[0.05263157894736842], FaceForm[{RGBColor[ 0.228595, 0.0948806, 0.0555581], Opacity[1.]}], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, { 0, 1, 0}, {0, 1, 0}}}, {{{9.9999, 18.}, {9.9999, 13.5}, {-0.00009999999999976694, 13.5}, {-0.00009999999999976694, 4.5}, {9.9999, 4.5}, {9.9999, 0.}, {18.9999, 9.}}}]}, AspectRatio->Automatic, ImageSize->{63., 37.}, PlotRange->{{0., 19.}, {0., 18.}}]\), Labeled[Image[wimg, ImageSize -> 250], Style["Wavelet Transform", sty], Top]}, {Rotate[\!\(\* GraphicsBox[ {Thickness[0.05263157894736842], FaceForm[{RGBColor[ 0.228595, 0.0948806, 0.0555581], Opacity[1.]}], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, { 0, 1, 0}, {0, 1, 0}}}, {{{9.9999, 18.}, {9.9999, 13.5}, {-0.00009999999999976694, 13.5}, {-0.00009999999999976694, 4.5}, {9.9999, 4.5}, { 9.9999, 0.}, {18.9999, 9.}}}]}, AspectRatio->Automatic, ImageSize->{66., 39.}, PlotRange->{{0., 19.}, {0., 18.}}]\), -(\[Pi]/2)], "", \!\(\*RotationBox[\* GraphicsBox[ {Thickness[0.05263157894736842], FaceForm[{RGBColor[ 0.228595, 0.0948806, 0.0555581], Opacity[1.]}], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{9.9999, 18.}, {9.9999, 13.5}, {-0.00009999999999976694, 13.5}, {-0.00009999999999976694, 4.5}, {9.9999, 4.5}, {9.9999, 0.}, {18.9999, 9.}}}]}, AspectRatio->Automatic, ImageSize->{70., 40.000000000000284`}, PlotRange->{{0., 19.}, {0., 18.}}], BoxRotation->-1.5707963267948966`]\)}, {Labeled[ Image[fimg, ImageSize -> 250], Style["Final Processed Image", sty], Bottom], \!\(\*RotationBox[\* GraphicsBox[ {Thickness[0.05263157894736842], FaceForm[{RGBColor[ 0.228595, 0.0948806, 0.0555581], Opacity[1.]}], FilledCurveBox[{{{0, 2, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}, {0, 1, 0}}}, {{{9.9999, 18.}, {9.9999, 13.5}, {-0.00009999999999976694, 13.5}, {-0.00009999999999976694, 4.5}, {9.9999, 4.5}, {9.9999, 0.}, {18.9999, 9.}}}]}, AspectRatio->Automatic, ImageSize->{68., 40.}, PlotRange->{{0., 19.}, {0., 18.}}], BoxRotation->3.141592653589793]\), Labeled[Image[preimg, ImageSize -> 250], Style["Preprocessed Image", sty], Bottom]}}, Spacings -> 0]
Out[9]=