{"id":6125,"date":"2022-12-12T13:35:07","date_gmt":"2022-12-12T18:35:07","guid":{"rendered":"https:\/\/blogs.mathworks.com\/steve\/?p=6125"},"modified":"2022-12-12T13:36:52","modified_gmt":"2022-12-12T18:36:52","slug":"finding-the-channels","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/steve\/2022\/12\/12\/finding-the-channels\/","title":{"rendered":"Finding the Channels"},"content":{"rendered":"<!DOCTYPE html PUBLIC \"-\/\/W3C\/\/DTD HTML 4.01 Transitional\/\/EN\">\r\n<div class = rtcContent><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Last winter, Aktham <\/span><a href = \"https:\/\/www.mathworks.com\/matlabcentral\/answers\/1640535-filling-one-type-of-holes-in-a-binary-image\"><span>asked on MATLAB Answers<\/span><\/a><span> how to find the channels in this image.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >url = <\/span><span style=\"color: rgb(167, 9, 245);\">\"https:\/\/www.mathworks.com\/matlabcentral\/answers\/uploaded_files\/880740\/image.jpeg\"<\/span><span >;<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >A = imread(url);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(A)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"DFB0CD41\" prevent-scroll=\"true\" data-testid=\"output_0\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_01.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 10px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: right; '><span style=' font-style: italic;'>Image credit: Aktham Shoukry. Used with permission.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Here is an example of what Aktham meant by \"channel.\"<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_02.png\" width = \"234\" height = \"169\" alt = \"channel-example-overlay.png\" style = \"vertical-align: baseline; width: 234px; height: 169px;\"><\/img><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>This post shows one way to accomplish the task, using erosion, morphological reconstruction, and some image arithmetic.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>The channels are relatively thin in one dimension, either horizontally or vertically. So, a morphological erosion can be constructed that will keep a portion of each grain, while completely eliminating the channels.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>First, a bit of preprocessing.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >Ag = im2gray(A);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 0px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >B = imcomplement(Ag);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(B)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"51CEE25F\" prevent-scroll=\"true\" data-testid=\"output_1\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_03.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>The channels are about 10 pixels thick, while the square-ish \"grains\" are about 50-by-50. Let's erode with a square structuring element with a size that's in between.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >C = imerode(B,ones(25,25));<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(C)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"D3F83703\" prevent-scroll=\"true\" data-testid=\"output_2\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_04.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Next, use morphological reconstruction to restore the original grain shapes.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >D = imreconstruct(C,B);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(D)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"B642CAFF\" prevent-scroll=\"true\" data-testid=\"output_3\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_05.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Complement the image to make the grains dark again.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >E = imcomplement(D);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(E)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"0B2AF505\" prevent-scroll=\"true\" data-testid=\"output_4\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_06.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Subtracting the original grayscale image from <\/span><span style=' font-family: monospace;'>E<\/span><span> gets us very close.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >F = E - Ag;<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(F)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"0C5C7254\" prevent-scroll=\"true\" data-testid=\"output_5\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_07.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >G = imbinarize(F);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(G)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"A76E1902\" prevent-scroll=\"true\" data-testid=\"output_6\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_08.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>A final cleanup of the small objects, using either <\/span><span style=' font-family: monospace;'>bwareafilt<\/span><span> or <\/span><span style=' font-family: monospace;'>bwareaopen<\/span><span>, gives us our result.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >H = bwareaopen(G,50);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(H)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"A422C95B\" prevent-scroll=\"true\" data-testid=\"output_7\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_09.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>The function <\/span><span style=' font-family: monospace;'>imoverlay<\/span><span> gives us a nice visualization of the result. (You could also use <\/span><span style=' font-family: monospace;'>imfuse<\/span><span>.)<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 1px solid rgb(191, 191, 191); border-bottom: 0px none rgb(33, 33, 33); border-radius: 4px 4px 0px 0px; padding: 6px 45px 0px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >K = imoverlay(Ag,H,[.8500 .3250 .0980]);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(191, 191, 191); border-right: 1px solid rgb(191, 191, 191); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(191, 191, 191); border-radius: 0px; padding: 0px 45px 4px 13px; line-height: 18.004px; min-height: 0px; white-space: nowrap; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; '><span style=\"white-space: pre\"><span >imshow(K)<\/span><\/span><\/div><div  style = 'color: rgb(33, 33, 33); padding: 10px 0px 6px 17px; background: rgb(255, 255, 255) none repeat scroll 0% 0% \/ auto padding-box border-box; font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace; font-size: 14px; overflow-x: hidden; line-height: 17.234px; '><div class=\"inlineElement eoOutputWrapper embeddedOutputsFigure\" uid=\"6CC62090\" prevent-scroll=\"true\" data-testid=\"output_8\" style=\"width: 1145px;\"><div class=\"figureElement eoOutputContent\"><img decoding=\"async\" class=\"figureImage figureContainingNode\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/finding_channels_10.png\" style=\"width: 504px; padding-bottom: 0px;\"><\/div><div class=\"outputLayer selectedOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer activeOutputDecorationLayer doNotExport\"><\/div><div class=\"outputLayer scrollableOutputDecorationLayer doNotExport\"><\/div><\/div><\/div><\/div><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>Note, however, that our result isn't quite perfect. There are partially cropped-off grains along the top border that have been identified as channels. Normally, I would recommend using <\/span><span style=' font-family: monospace;'>imclearborder<\/span><span> as a preprocessing step, but in this case, <\/span><span style=' font-family: monospace;'>imclearborder<\/span><span> eliminates too many of the desired channels.<\/span><\/div><div  style = 'margin: 2px 10px 9px 4px; padding: 0px; line-height: 21px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 14px; font-weight: 400; text-align: left; '><span>I am open to suggestions about how to refine this method. 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