Image and Signal Processing

Updated Selection & Formatting for Component Analysis

Using the updated SelectComponents and ComponentMeasurements, you can more easily manipulate segmented components in an image, as well as create and display collections of measurements quickly.

Segment out one specific part of these cells.

In[1]:=
Click for copyable input
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In[2]:=
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-> "xmp.did:\ 8EBCAFF00D2068118DBBEC0C34C32592", "History" -> Association[ "History[1]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 8EBCAFF00D2068118DBBEC0C34C32592", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[2]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0180117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[3]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0280117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[4]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0480117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"]], "InstanceID" -> "xmp.iid:\ 0480117407206811A7BAF1A1AE9A6D46", "OriginalDocumentID" -> "xmp.did:\ 8EBCAFF00D2068118DBBEC0C34C32592"], "RightsManagementSchema" -> Association[ "History" -> Association[ "History[1]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 8EBCAFF00D2068118DBBEC0C34C32592", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[2]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0180117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[3]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0280117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[4]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0480117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"]]], "PagedTextSchema" -> Association[ "History" -> Association[ "History[1]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 8EBCAFF00D2068118DBBEC0C34C32592", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[2]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0180117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[3]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0280117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"], "History[4]" -> Association[ "Action" -> "saved", "InstanceID" -> "xmp.iid:\ 0480117407206811A7BAF1A1AE9A6D46", "When" -> Missing["Disputed"], "SoftwareAgent" -> "Adobe Photoshop CS5 Macintosh", "Changed" -> "/"]]]]]], Selectable->False], DefaultBaseStyle->"ImageGraphics", ImageSizeRaw->{54, 58}, PlotRange->{{0, 54}, {0, 58}}]\);

The cells' locations can be estimated by measuring the image correlation.

show complete Wolfram Language input
In[3]:=
Click for copyable input
{ ImageCorrelate[img, ker, CosineDistance] // ImageAdjust, mask = Binarize[ ImageAdjust@ImageCorrelate[img, ker, CosineDistance], {0, .45}]; HighlightImage[img, Values[ComponentMeasurements[mask, "Centroid"]]] }
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Use GrowCutComponents to grow a segmentation using the image content.

show complete Wolfram Language input
In[4]:=
Click for copyable input
kernelRadius = Median[ImageDimensions[ker]]; comp = Image[ GrowCutComponents[ img, {Erosion[ColorNegate[mask], Round[kernelRadius/2]], Dilation[mask, 6]}] - 1]; HighlightImage[img, comp]
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Use SelectComponents to filter the cells that were segmented incorrectly.

In[5]:=
Click for copyable input
newseg = SelectComponents[{img, MorphologicalComponents[comp]}, And[ .5 kernelRadius^2 < #Area < kernelRadius^2, #AdjacentBorderCount == 0 ] &]; newseg[[1]]
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The new segmentation is used in ComponentMeasurements to create a database of interesting properties.

In[6]:=
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comp = Last[newseg]; ComponentMeasurements[ {img, comp}, {"MaskedImage", "Area", "BoundingDiskCenter", "BoundingDiskRadius", "Circularity"}, All, "Dataset"]
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