{"id":7398,"date":"2023-04-12T10:16:20","date_gmt":"2023-04-12T14:16:20","guid":{"rendered":"https:\/\/blogs.mathworks.com\/steve\/?p=7398"},"modified":"2023-04-12T10:16:20","modified_gmt":"2023-04-12T14:16:20","slug":"quantitative-video-analysis-measuring-a-container-filling-with-liquid","status":"publish","type":"post","link":"https:\/\/blogs.mathworks.com\/steve\/2023\/04\/12\/quantitative-video-analysis-measuring-a-container-filling-with-liquid\/","title":{"rendered":"Quantitative Video Analysis: Measuring a Container Filling with Liquid"},"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 style=' font-style: italic;'>Today's post is by guest blogger Isaac Bruss. Isaac has been a course developer for MathWorks since 2019. His PhD is in computational physics from UMass Amherst. Isaac has helped launch and support several courses on Coursera, on topics such as robotics, machine learning, and computer vision. Isaac's post is based on a lesson from the <\/span><a href = \"https:\/\/www.coursera.org\/specializations\/image-processing?utm_source=mathworks&amp;utm_campaign=blogpost-steveonimageprocessing-april2023-imageprocessing\"><span>Image Processing for Engineering and Science Specialization on Coursera<\/span><\/a><span>.<\/span><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Introduction<\/span><\/h2><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>In this post, I\u2019ll analyze a video of a container filling with liquid. Now, that might not sound like the most exciting thing in the world, but imagine, for example, you're a quality control engineer responsible for ensuring that the rate of filling bottles is consistent. You need to determine if this rate is constant or varies over time. To answer this question, you\u2019d need to process each individual frame from the video file. But where would you start?<\/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>Well, in this case, I started out with the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/images\/ref\/videoviewer-app.html\"><span>Video Viewer App<\/span><\/a><span> to become more familiar with the video. This app allows you to see the video's size, frame rate, and total number of frames along the bottom bar. By using this app, you can quickly get a sense of what I\u2019m working with by playing the video and navigating between frames.<\/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\/VideoAnalysisBlogPost_01.gif\" width = \"382\" height = \"398\" alt = \"movie-player.gif\" style = \"vertical-align: baseline; width: 382px; height: 398px;\"><\/img><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Creating the Segmentation Function<\/span><\/h2><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>With the goal of measuring the liquid within the container, I needed a segmentation function that can separate the liquid from the background. To ensure I develop a robust algorithm, I export a few representative frames to create and test a segmentation function.<\/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><\/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\/VideoAnalysisBlogPost_02.gif\" width = \"382\" height = \"398\" alt = \"export-frames.gif\" style = \"vertical-align: baseline; width: 382px; height: 398px;\"><\/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><\/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 <\/span><a href = \"https:\/\/www.mathworks.com\/help\/images\/image-segmentation-using-the-color-thesholder-app.html\"><span>Color Thresholder App<\/span><\/a><span> is a powerful tool for interactively segmenting images based on color. This app is particularly useful for images that have distinct color differences between the object of interest and the background. In this case, I used the region selection tool to highlight pixels of interest within the L*a*b* color space. This allowed me to isolate the dark liquid from both the purple background and white foam at the top. <\/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\/VideoAnalysisBlogPost_03.gif\" width = \"680\" height = \"493\" alt = \"color-thresholder.gif\" style = \"vertical-align: baseline; width: 680px; height: 493px;\"><\/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><\/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>Once I'm satisfied with my thresholding results, I export this segmentation function from the app as a \u201c.m\u201d file named \u201cliquidMask\u201d.<\/span><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Check the Segmentation Function<\/span><\/h2><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 custom function was <\/span><span>developed using only the few frames I exported from the video. But to be confident in the results, I need to ensure that it accurately isolates the dark liquid in all the frames. To do this, I first create a <\/span><a href = \"https:\/\/www.mathworks.com\/help\/matlab\/ref\/videoreader.html\"><span>video reader object<\/span><\/a><span>.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 4px 4px 0px 0px; padding: 6px 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 >v = VideoReader(<\/span><span style=\"color: rgb(167, 9, 245);\">\"liquidVideo.mp4\"<\/span><span >)\t<\/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 embeddedOutputsVariableStringElement\" uid=\"41190BA0\" prevent-scroll=\"true\" data-testid=\"output_0\" style=\"width: 1145px; white-space: pre; font-style: normal; color: rgb(33, 33, 33); font-size: 12px;\"><div class=\"textElement eoOutputContent\" data-previous-available-width=\"1115\" data-previous-scroll-height=\"256\" data-hashorizontaloverflow=\"false\" style=\"max-height: 267px; white-space: pre; font-style: normal; color: rgb(33, 33, 33); font-size: 12px;\"><div style=\"white-space: pre; font-style: normal; color: rgb(33, 33, 33); font-size: 12px;\"><span class=\"variableNameElement\" style=\"white-space: pre; font-style: normal; color: rgb(33, 33, 33); font-size: 12px;\">v = <\/span><\/div><div style=\"white-space: pre; font-style: normal; color: rgb(33, 33, 33); font-size: 12px;\">  VideoReader with properties:\r\n\r\n   General Properties:\r\n            Name: 'liquidVideo.mp4'\r\n            Path: 'C:\\MATLAB Drive\\Play\\Blog Posts\\video analysis'\r\n        Duration: 24\r\n     CurrentTime: 0.1000\r\n       NumFrames: &lt;Calculating...&gt; learn more\r\n\r\n   Video Properties:\r\n           Width: 120\r\n          Height: 216\r\n       FrameRate: 10\r\n    BitsPerPixel: 24\r\n     VideoFormat: 'RGB24'\r\n\r\n<\/div><\/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: left; '><span>Then I loop through the frames using the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/matlab\/ref\/videoreader.hasframe.html\"><span>hasFrame<\/span><\/a><span> function. Inside the loop, each frame is passed into the custom liquidMask function, and the resulting mask is displayed side-by-side using the <\/span><a href = \"https:\/\/www.mathworks.com\/help\/images\/ref\/montage.html\"><span>montage<\/span><\/a><span> function.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); 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 style=\"color: rgb(14, 0, 255);\">while <\/span><span >hasFrame(v) <\/span><span style=\"color: rgb(0, 128, 19);\">% Loop through all frames<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    img = readFrame(v); <\/span><span style=\"color: rgb(0, 128, 19);\">% Read a frame<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    bw = liquidMask(img); <\/span><span style=\"color: rgb(0, 128, 19);\">% Apply the custom segmentation function<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    montage({img,bw},<\/span><span style=\"color: rgb(167, 9, 245);\">'BorderSize'<\/span><span >,[20,20],<\/span><span style=\"color: rgb(167, 9, 245);\">'BackgroundColor'<\/span><span >,[0.5,0.5,0.5]);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    drawnow<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px 0px 4px 4px; 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 style=\"color: rgb(14, 0, 255);\">end<\/span><\/span><\/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: left; '><img class = \"imageNode\" src = \"https:\/\/blogs.mathworks.com\/steve\/files\/VideoAnalysisBlogPost_04.gif\" width = \"458\" height = \"420\" alt = \"mask-generation.gif\" style = \"vertical-align: baseline; width: 458px; height: 420px;\"><\/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><\/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 resulting segmented video frames look great! Further morphological operations to better segment the region of interest are possible, but to get a quick example up and running they aren\u2019t needed. <\/span><\/div><h2  style = 'margin: 20px 10px 5px 4px; padding: 0px; line-height: 20px; min-height: 0px; white-space: pre-wrap; color: rgb(33, 33, 33); font-family: Helvetica, Arial, sans-serif; font-style: normal; font-size: 20px; font-weight: 700; text-align: left; '><span>Analyzing Liquid Percentage<\/span><\/h2><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>Now I can move on to the final part: calculating the percentage of the container that is filled with water at each frame.<\/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>To get started, I need to rewind the video to the beginning using the CurrentTime property of the VideoReader.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 4px; padding: 6px 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 >v.CurrentTime = 0;\t<\/span><\/span><\/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: left; '><span>Next, I initialize two variables to store values for each frame: the percentage of the container filled, and the time stamp.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); 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 >nFrames = v.NumFrames;<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >percents = zeros(nFrames,1);<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px 0px 4px 4px; 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 >times = zeros(nFrames,1);\t<\/span><\/span><\/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: left; '><span>Now I\u2019m ready to use a for-loop to read through the video, segment each image, and calculate the percentage of the container filled at each frame. The percentage calculation is done by counting the number of pixels that are filled with liquid and dividing it by the total number of pixels.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); 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 style=\"color: rgb(14, 0, 255);\">for <\/span><span >i = 1:nFrames <\/span><span style=\"color: rgb(0, 128, 19);\">% Loop through all frames<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    img = readFrame(v); <\/span><span style=\"color: rgb(0, 128, 19);\">% Read a frame<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    bw = liquidMask(img); <\/span><span style=\"color: rgb(0, 128, 19);\">% Create the binary mask using the custom function<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    <\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    liquidPart = nnz(bw); <\/span><span style=\"color: rgb(0, 128, 19);\">% Calculate the number of liquid (true) pixels<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    perc = liquidPart\/numel(bw); <\/span><span style=\"color: rgb(0, 128, 19);\">% Calculate percentage filled with liquid<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    <\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    time = v.CurrentTime; <\/span><span style=\"color: rgb(0, 128, 19);\">% Mark the current time<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    <\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    percents(i) = perc; <\/span><span style=\"color: rgb(0, 128, 19);\">% Save the fill-percentage value<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >    times(i) = time; <\/span><span style=\"color: rgb(0, 128, 19);\">% Save the time stamp<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); border-radius: 0px 0px 4px 4px; 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 style=\"color: rgb(14, 0, 255);\">end<\/span><\/span><\/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: left; '><span>Now that the data has been gathered, I plot the percentage of the container filled versus time to see how quickly the liquid fills the container.<\/span><\/div><div style=\"background-color: #F5F5F5; margin: 10px 0 10px 0;\"><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 1px solid rgb(217, 217, 217); 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 >figure<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >plot(times,percents*100)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >title(<\/span><span style=\"color: rgb(167, 9, 245);\">'Percentage of Container Filled with Liquid vs Time'<\/span><span >)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); 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 >xlabel(<\/span><span style=\"color: rgb(167, 9, 245);\">'Time (seconds)'<\/span><span >)<\/span><\/span><\/div><\/div><div class=\"inlineWrapper outputs\"><div  style = 'border-left: 1px solid rgb(217, 217, 217); border-right: 1px solid rgb(217, 217, 217); border-top: 0px none rgb(33, 33, 33); border-bottom: 1px solid rgb(217, 217, 217); 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 >ylabel(<\/span><span style=\"color: rgb(167, 9, 245);\">'Percentage Filled'<\/span><span >)<\/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=\"E4F05D4F\" 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\/VideoAnalysisBlogPost_05.png\" style=\"width: 560px; 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: left; '><span>Look at that! The fill rate is not consistent. From the plot, I see that the flow slowed down around 8 seconds, increased at 15 seconds, and slowed again at 20 seconds. <\/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>This post is based on a lesson from the <\/span><a href = \"https:\/\/www.coursera.org\/specializations\/image-processing?utm_source=mathworks&amp;utm_campaign=blogpost-steveonimageprocessing-april2023-imageprocessing\"><span>Image Processing for Engineering and Science Specialization on Coursera<\/span><\/a><span>. There you\u2019ll be able to complete many projects like this one, from segmenting cracks in images of concrete to counting cars in a video of traffic.<\/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>___<\/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 style=' font-style: italic;'>Thanks, Isaac!<\/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><\/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><\/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><\/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; '><\/div>\r\n<script type=\"text\/javascript\">var css = '.variableValue { width: 100% !important; } .embeddedOutputsMatrixElement,.eoOutputWrapper .matrixElement {    min-height: 18px;    box-sizing: border-box;} .embeddedOutputsMatrixElement .matrixElement,.eoOutputWrapper  .matrixElement,.rtcDataTipElement .matrixElement {    position: relative;} .matrixElement .variableValue,.rtcDataTipElement .matrixElement .variableValue {    white-space: pre;    display: inline-block;    vertical-align: top;    overflow: hidden;} .embeddedOutputsMatrixElement.inlineElement {} .embeddedOutputsMatrixElement.inlineElement .topHeaderWrapper {    display: none;} .embeddedOutputsMatrixElement.inlineElement .veTable .body {    padding-top: 0 !important;    max-height: 100px;} .inlineElement .matrixElement {    max-height: 300px;} .embeddedOutputsMatrixElement.rightPaneElement {} .rightPaneElement .matrixElement,.rtcDataTipElement .matrixElement {    overflow: hidden;    padding-left: 9px;} .rightPaneElement .matrixElement {    margin-bottom: -1px;} .embeddedOutputsMatrixElement .matrixElement .valueContainer,.eoOutputWrapper .matrixElement .valueContainer,.rtcDataTipElement .matrixElement .valueContainer {    white-space: nowrap;    margin-bottom: 3px;} .embeddedOutputsMatrixElement .matrixElement .valueContainer .horizontalEllipsis.hide,.embeddedOutputsMatrixElement .matrixElement .verticalEllipsis.hide,.eoOutputWrapper .matrixElement .valueContainer .horizontalEllipsis.hide,.eoOutputWrapper .matrixElement .verticalEllipsis.hide,.rtcDataTipElement .matrixElement .valueContainer .horizontalEllipsis.hide,.rtcDataTipElement .matrixElement .verticalEllipsis.hide {    display: none;} .embeddedOutputsVariableMatrixElement .matrixElement .valueContainer.hideEllipses .verticalEllipsis, .embeddedOutputsVariableMatrixElement .matrixElement .valueContainer.hideEllipses .horizontalEllipsis {    display:none;} .embeddedOutputsMatrixElement .matrixElement .valueContainer .horizontalEllipsis,.eoOutputWrapper .matrixElement .valueContainer .horizontalEllipsis {    margin-bottom: -3px;} .eoOutputWrapper .embeddedOutputsVariableMatrixElement .matrixElement .valueContainer {    cursor: default !important;} .embeddedOutputsVariableElement {    white-space: pre-wrap;    word-wrap: break-word;    min-height: 18px;    max-height: 250px;    overflow: auto;} .variableElement {} .embeddedOutputsVariableElement.inlineElement {} .inlineElement .variableElement {} .embeddedOutputsVariableElement.rightPaneElement {    min-height: 16px;} .rightPaneElement .variableElement {    padding-top: 2px;    padding-left: 9px;} .variableNameElement {    margin-bottom: 3px;    display: inline-block;} \/* * Ellipses as base64 for HTML export. *\/.matrixElement .horizontalEllipsis,.rtcDataTipElement .matrixElement .horizontalEllipsis {    display: inline-block;    margin-top: 3px;    \/* base64 encoded version of images-liveeditor\/HEllipsis.png *\/    width: 30px;    height: 12px;    background-repeat: no-repeat;    background-image: url(\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAAJCAYAAADO1CeCAAAAJUlEQVR42mP4\/\/8\/A70xw0i29BUDFPxnAEtTW37wWDqakIa4pQDvOOG89lHX2gAAAABJRU5ErkJggg==\");} .matrixElement .verticalEllipsis,.textElement .verticalEllipsis,.rtcDataTipElement .matrixElement .verticalEllipsis,.rtcDataTipElement .textElement .verticalEllipsis {    margin-left: 35px;    \/* base64 encoded version of images-liveeditor\/VEllipsis.png *\/    width: 12px;    height: 30px;    background-repeat: no-repeat;    background-image: url(\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAZCAYAAAAIcL+IAAAALklEQVR42mP4\/\/8\/AzGYgWyFMECMwv8QddRS+P\/\/KyimlmcGUOFoOI6GI\/UVAgDnd8Dd4+NCwgAAAABJRU5ErkJggg==\");} \/* Styling that is common to warnings and errors is in diagnosticOutput.css *\/.embeddedOutputsErrorElement {    min-height: 18px;    max-height: 250px;    overflow: auto;} .embeddedOutputsErrorElement.inlineElement {} .embeddedOutputsErrorElement.rightPaneElement {} \/* Styling that is common to warnings and errors is in diagnosticOutput.css *\/.embeddedOutputsWarningElement{    min-height: 18px;    max-height: 250px;    overflow: auto;} .embeddedOutputsWarningElement.inlineElement {} .embeddedOutputsWarningElement.rightPaneElement {} \/* Copyright 2015-2019 The MathWorks, Inc. *\/\/* In this file, styles are not scoped to rtcContainer since they could be in the Dojo Tooltip *\/.diagnosticMessage-wrapper {    font-family: Menlo, Monaco, Consolas, \"Courier New\", monospace;    font-size: 12px;} .diagnosticMessage-wrapper.diagnosticMessage-warningType {    color: rgb(255,100,0);} .diagnosticMessage-wrapper.diagnosticMessage-warningType a {    color: rgb(255,100,0);    text-decoration: underline;} .diagnosticMessage-wrapper.diagnosticMessage-errorType {    color: rgb(230,0,0);} .diagnosticMessage-wrapper.diagnosticMessage-errorType a {    color: rgb(230,0,0);    text-decoration: underline;} .diagnosticMessage-wrapper .diagnosticMessage-messagePart,.diagnosticMessage-wrapper .diagnosticMessage-causePart {    white-space: pre-wrap;} .diagnosticMessage-wrapper .diagnosticMessage-stackPart {    white-space: pre;} .embeddedOutputsTextElement,.embeddedOutputsVariableStringElement {    white-space: pre;    word-wrap:  initial;    min-height: 18px;    max-height: 250px;    overflow: auto;} .textElement,.rtcDataTipElement .textElement {    padding-top: 3px;} .embeddedOutputsTextElement.inlineElement,.embeddedOutputsVariableStringElement.inlineElement {} .inlineElement .textElement {} .embeddedOutputsTextElement.rightPaneElement,.embeddedOutputsVariableStringElement.rightPaneElement {    min-height: 16px;} .rightPaneElement .textElement {    padding-top: 2px;    padding-left: 9px;} .embeddedOutputsVariableTableElement .ClientViewDiv  table tr {  height: 22px;  white-space: nowrap;} .embeddedOutputsVariableTableElement .ClientViewDiv  table tr td,.embeddedOutputsVariableTableElement .ClientViewDiv  table tr th {  background-color:white;  text-overflow: ellipsis;  font-family: Arial, sans-serif;  font-size: 12px;  overflow : hidden;} .embeddedOutputsVariableTableElement .ClientViewDiv  table tr span {  text-overflow: ellipsis;  padding: 3px;} .embeddedOutputsVariableTableElement .ClientViewDiv  table tr th {    color: rgba(0,0,0,0.5);  padding: 3px;  font-size: 9px;}'; var head = document.head || document.getElementsByTagName('head')[0], style = document.createElement('style'); head.appendChild(style); style.type = 'text\/css'; if (style.styleSheet){ style.styleSheet.cssText = css; } else { style.appendChild(document.createTextNode(css)); }<\/script>","protected":false},"excerpt":{"rendered":"<div class=\"overview-image\"><img decoding=\"async\"  class=\"img-responsive\" src=\"https:\/\/blogs.mathworks.com\/steve\/files\/VideoAnalysisBlogPost_05.png\" onError=\"this.style.display ='none';\" \/><\/div><p>\r\nToday's post is by guest blogger Isaac Bruss. Isaac has been a course developer for MathWorks since 2019. His PhD is in computational physics from UMass Amherst. Isaac has helped launch and support... <a class=\"read-more\" href=\"https:\/\/blogs.mathworks.com\/steve\/2023\/04\/12\/quantitative-video-analysis-measuring-a-container-filling-with-liquid\/\">read more >><\/a><\/p>","protected":false},"author":42,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/posts\/7398"}],"collection":[{"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/users\/42"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/comments?post=7398"}],"version-history":[{"count":4,"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/posts\/7398\/revisions"}],"predecessor-version":[{"id":7410,"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/posts\/7398\/revisions\/7410"}],"wp:attachment":[{"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/media?parent=7398"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/categories?post=7398"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.mathworks.com\/steve\/wp-json\/wp\/v2\/tags?post=7398"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}