Sorting Contours using Python and OpenCV

Sorting contours left-to-right using Python and OpenCV.

Alright, so at this point you have been exposed to contours pretty heavily on the PyImageSearch blog.

We used contours to build a kick-ass mobile document scanner.

Contours enabled us detect barcodes in images.

And we even leveraged the power of contours to find the distance from a camera to object or marker.

But there still remains a sticking question that we have not addressed: how in the world do we sort contours from left-to-right, top-to-bottom, etc.

Oddly enough OpenCV does not provide a built-in function or method to perform the actual sorting of contours.

But no worries.

In the rest of this blog you’ll be sorting contours using Python and OpenCV like a pro.

Read on to find out more…

Looking for the source code to this post?
Jump right to the downloads section.

OpenCV and Python versions:
In order to run this example, you’ll need Python 2.7 and OpenCV 2.4.X.

Sorting Contours using Python and OpenCV

By the end of this blog article you’ll be able to:

  1. Sort contours according to their size/area, along with a template to follow to sort contours by any other arbitrary criteria.

  2. Sort contoured regions from left-to-right, right-to-left, top-to-bottom, and bottom-to-top using only a single function.

So let’s go ahead and get started. Open up your favorite code editor, name it and let’s get started:

We’ll start off by importing our necessary packages: NumPy for numerical processing, argparse  to parse our command line arguments, and cv2  for our OpenCV bindings.

Instead of starting off by parsing arguments, loading images, and taking care of other normal procedures, let’s skip these steps for the time being and jump immediately in to defining our sort_contours  function which will enable us to sort our contours.

The actual sort_contours  function is defined on Line 7 and takes two arguments. The first is cnts , the list of contours that the we want to sort, and the second is the sorting method , which indicates the direction in which we are going to sort our contours (i.e. left-to-right, top-to-bottom, etc.).

From there we’ll initialize two important variables on Lines 9 and 10. These variables simply indicate the sorting order (ascending or descending) and the index of the bounding box we are going to use to perform the sort (more on that later). We’ll initialize these variables to sort in ascending order and along to the x-axis location of the bounding box of the contour.

If we are sorting right-to-left or bottom-to-top, we’ll need to sort in descending order, according to the location of the contour in the image (Lines 13 and 14).

Similarly, on Lines 18 and 19 we check to see if we are sorting from top-to-bottom or bottom-to-top. If this is the case, then we need to sort according to the y-axis value rather than the x-axis (since we are now sorting vertically rather than horizontally).

The actual sorting of the contours happens on Lines 23-25.

We first compute the bounding boxes of each contour, which is simply the starting (x, y)-coordinates of the bounding box followed by the width and height (hence the term “bounding box”). (Line 23)

The boundingBoxes  enable us to sort the actual contours, which we do on Line 24 and 25 using some Python magic that sorts two lists together. Using this code we are able to sort both the contours and bounding boxes according to the criteria that we provided.

Finally, we return the (now sorted) list of bounding boxes and contours to the calling function on Line 28.

While we’re at it, let’s go ahead and define another helper function, draw_contour :

This function simply computes the center (x, y)-coordinate of the supplied contour c  on Lines 33-35 and then uses the center coordinates to draw the contour ID, i , on Lines 38 and 39.

Finally, the passed in image  is returned to the calling function on Line 42.

Again, this is simply a helper function that we’ll leverage to draw contour ID numbers on our actual image so we can visualize the results of our work.

Now that the helper functions are done, let’s put the driver code in place to take our actual image, detect contours, and sort them:

Lines 45-48 aren’t very interesting — they simply parse our command line arguments, --image  which is the path to where our image resides on disk, and --method  which is a text representation of the direction in which we want to sort our contours.

From there we load our image off disk on Line 51 and allocate memory for the edge map on Line 52.

Constructing the actual edge map happens on Lines 55-60, where we loop over each Blue, Green, and Red channel of the image (Line 55), blur each channel slightly to remove high frequency noise (Line 58), perform edge detection, (Line 59), and update the accumulated edge map on Line 60.

We display the accumulated edge map on line 63 which looks like this:

Figure 1: (Left) Our original image. (Right) The edge map of the Lego bricks.

Figure 1: (Left) Our original image. (Right) The edge map of the Lego bricks.

As you can see, we have detected the actual edge outlines of the Lego bricks in the image.

Now, let’s see if we can (1) find the contours of these Lego bricks, and then (2) sort them:

Quite obviously, the first step here is to find the actual contours in our accumulated edge map image on Line 67-69. We are looking for the external contours of the Lego bricks, which simply corresponds to their outlines.

Based on these contours, we are now going to sort them according to their size by using a combination of the Python sorted  function and the cv2.contourArea  method — this allows us to sort our contours according to their area (i.e. size) from largest to smallest (Line 70).

We take these sorted contours (in terms of size, not location), loop over them on Line 74 and draw each individual contour on Line 76 using our draw_contour  helper function.

This image is then displayed to our screen on Line 78.

However, as you’ll notice, our contours have been sorted only according to their size — no attention has been paid to their actual location in the image.

We address this problem on Line 81 where we make a call to our custom sort_contours  function. This method accepts our list of contours along with sorting direction method (provided via command line argument) and sorts them, returning a tuple of sorted bounding boxes and contours, respectively.

Finally, we take these sorted contours, loop over them, draw each individual one, and finally display the output image to our screen (Lines 84-89).


Let’s put our hard work to the test.

Open up a terminal, navigate to your source code and execute the following command:

Your output should look like this:

Sorting our Lego bricks from top-to-bottom.

Figure 2: Sorting our Lego bricks from top-to-bottom.

On the left we have our original unsorted contours. Clearly, we can see that the contours are very much out of order — the first contour is appearing at the very bottom and the second contour at the very top!

However, by applying our sorted_contours  function we were able to sort our Lego bricks from top-to-bottom.

Let’s take a look at another example.

Sorting our contours from bottom-to-top.

Figure 3: Sorting our contours from bottom-to-top.

And here we have sorted on contours from bottom-to-top.

Of course, we can also sort contours horizontally as well:

Figure 4: Sorting our contours from left-to-right.

Figure 4: Sorting our contours from left-to-right.

Again, in the top image our contours are not in order. But in the bottom image we are able to successfully sort our contours without an issue.

One last example:

Sorting our contours from right-to-left.

Figure 5: Sorting our contours from right-to-left.

As you can see, there’s nothing to it — we’re simply leveraging the bounding box of each object in the image to sort the contours by direction using Python and OpenCV.

In the future all you need is our trusty sorted_contours  function and you’ll always be able to sort contours in terms of direction without a problem.


In this blog article we learned how to sort contours from left-to-right, right-to-left, top-to-bottom, and bottom-to-top.

Realistically, we only needed to leverage two key functions.

The first critical function was the cv2.boundingRect  method which computes the bounding box region of the contour. And based on these bounding boxes, we leveraged some Python magic and used our second critical function, sorted , to actually “sort” these bounding boxes in the direction we want.

And that’s all there is to it!

If you would like to play with the examples included in this post, just enter your email address in the form below and I’ll email you the code instantly.


If you would like to download the code and images used in this post, please enter your email address in the form below. Not only will you get a .zip of the code, I’ll also send you a FREE 17-page Resource Guide on Computer Vision, OpenCV, and Deep Learning. Inside you'll find my hand-picked tutorials, books, courses, and libraries to help you master CV and DL! Sound good? If so, enter your email address and I’ll send you the code immediately!

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72 Responses to Sorting Contours using Python and OpenCV

  1. Chris April 20, 2015 at 7:13 pm #

    Hey! Can you do an article on sorting of points in a grid? I have a point grid on a wall and I make a picture of that wall and now I have the set of points, after a perspective transform and lens distortions, but no assignment of points to grid locations.

    • Adrian Rosebrock April 21, 2015 at 6:32 am #

      Hi Chris, thanks for the comment. I’m not sure I fully understand your comment, but are you trying to (1) find the corners of the grid and (2) sort them according to some criterion? Finding the corners of the grid should be very simple — the Harris or GFTT corner detector will easily make quick work of that. But I’m not sure what you mean by sorting the actual locations?

    • mather November 29, 2016 at 11:51 am #

      Hi, do you have a realtime implementation of this using a camera?

  2. Ryan April 21, 2015 at 4:06 pm #

    Hi Adrian, interesting post. I like the idea of being able to sort the contours. However, I had 2 questions: 1) it’s a little difficult to tell which criteria is being used to do the actual sorting. From lines 23-24, it looks like it is the boundingBoxes starting points. Is that correct? 2) While it depends on the application, it’d seem better to sort the contours based upon their centroid or the first moment. In this case, all contours are roughly the same size so it may not matter much. Your thoughts?

    • Adrian Rosebrock April 21, 2015 at 4:14 pm #

      Hey Ryan, thanks for the comment. To answer your questions:

      1. Correct, the we are sorting on either the x or y coordinate of the starting location of the bounding box.

      2. As you suggested, it all depends on your application. In most cases when I am using bounding boxes, such as automatic license plate recognition or handwriting recognition, sorting from left-to-right based on the starting x-coordinate is more than sufficient. In other cases, this may not be case. But I think that’s the beauty of the approach suggested — you can sort however you want by modifying the lambda function.

      • Austin May 21, 2018 at 6:48 am #

        Hey adrian, am working on handwritten recognition. my problem is words are printing randomly.I have to sort the contours but I couldn’t able to come up with correct method. Can you help me with this?

      • Austin May 22, 2018 at 12:32 am #

        Hi adrian,Nice article. Am beginner to python and I’m facing some issues with sorting contours for handwritten recognition. how to avoid random printing of words? How to code starting from x-coordinate.Please help.

        • Adrian Rosebrock May 22, 2018 at 5:53 am #

          Hey Austin, I’m not sure what you mean by “random printing of words”. Are you using the code from this blog post or something different?

          • Austin May 22, 2018 at 2:09 pm #

            Hi, thanks for replying.Can you please go through this link once.
            If you run it. Words were printing in random manner.
            If you see ocr/

            Where contours are created. I couldn’t get how to sort the contours.

          • Adrian Rosebrock May 23, 2018 at 7:17 am #

            Sorry, I’m happy to help point you in the right direction but I get asked many times per day to run source code or look at source code. As you know, reviewing another person’s code is a very time consuming and tedious task — it’s not something I can do. I hope you understand.

          • Austin May 23, 2018 at 8:48 am #

            Hi, thanks for replying me back and thank you very much for the support. Yes, I understood.Sorry for asking you to go through the links.
            The code which I mentioned is handwritten recognition where it will scan the image and finds all the words and print it. But it is printing randomly, I tried sorting out using your method but still the words are random. Hope you understand the method. I just want that to print in sequence.I thought for better understanding you will go for code. My mistake. As you mentioned for handwritten recognition, sorting from left-to-right based on the starting x-coordinate is more than sufficient. I just want to know this clearly. Can we sort it using bounding boxes because sorting contours haven’t worked properly.
            and in code it contains a expession like this, index= [hierarchy][index][0] Is this for contours indexes?

          • Adrian Rosebrock May 24, 2018 at 6:40 am #

            You can certainly sort by bounding box as well. You would use the cv2.boundingRect function to compute the bounding box of the contour and then sort on the top-left x-coordinate for each bounding box. I wish you the best of luck on the project Austin and hope it goes well 🙂

          • Austin May 25, 2018 at 4:46 am #

            Thank you so much, Adrian.

  3. Zain ul abdeen April 25, 2015 at 12:13 pm #

    Hey nice post! I am trying to do similar type of thing in android Java and any help would be appreciated. Please take a look at my question on given link. Thanks

    • Adrian Rosebrock May 1, 2015 at 7:09 pm #

      Hey Zain, I’m not much of a Java coder, but you should be able to port the code I provided to Java — the same concepts apply.

    • Abhi July 10, 2017 at 4:01 am #

      hello Zain,
      I have been trying to develop same OMR scanner App for Android but i am stuck on contour sort part, can you please help me out.

      I have follwed Adrians method for until sorting and it works just well.

  4. Saul Bernal May 7, 2015 at 7:54 pm #

    HI adrian. can i try sort with a different shaped in the image? like circles?

    • Adrian Rosebrock May 7, 2015 at 8:13 pm #

      Hi Saul, yes, you could sort the contours using circles in the same manner as suggested by this post. A circle can still have a bounding box associated with it.

  5. jongwon May 19, 2015 at 7:56 pm #

    Thank you, This is what I try to figure out!!! Really Helpful

    • Adrian Rosebrock May 20, 2015 at 6:42 am #

      No problem, happy to help! 🙂

  6. friend August 31, 2015 at 8:06 pm #

    I had problem with line 66, this help me:

    (change “(cnts, _)” on line 66 to “( _,cnts, hierarchy)”)

    thanks for the article and good luck..

    • Adrian Rosebrock September 1, 2015 at 5:39 am #

      Indeed, OpenCV 3 has changed the return signature of the cv2.findContours function from OpenCV 2.4. I discuss this a bit more in this blog post.

  7. Fabs October 28, 2015 at 9:45 am #

    Hey Adrian,
    I want to use part of your script in a programm to sort contours in a video stream. However it crashs all the time when I remove the contours out of the camera screen with:
    “ValueError: need more than 0 values to unpack” refering to line 24 of your code. How can I tell the programm to wait untill there is at least one contour, or to just don’t “unpack” untill one contour appears.

    • Adrian Rosebrock November 3, 2015 at 10:39 am #

      All you need is a simple if statement:

      • Marbin February 1, 2019 at 5:51 am #

        where will you put that if statement ? and what do you mean by the do more processing here?

        • Adrian Rosebrock February 1, 2019 at 6:34 am #

          You would put that statement directory after the cv2.findContours call. Any code you want to fall under that “if” statement, presumably more contour processing, would be placed there.

  8. abhishek December 6, 2015 at 12:05 pm #

    i have several grid based images which has start point (small green colored region located anywhere within image) and stop point (small red region). i want to find shortest path between start point and end point. what should I do

    • Adrian Rosebrock December 7, 2015 at 6:59 am #

      The first step is to find the two points. Methods like edge detection and thresholding can help you accomplish this. From there, you simply compute the Euclidean distance, which is by definition, the shortest path between two points.

  9. Akash July 29, 2016 at 10:00 am #

    this is for contours either in a single column or a single row…what if the contours are present both in columns and rows. Then how to sort it left to right as well as top to bottom??

    • Adrian Rosebrock July 31, 2016 at 10:41 am #

      Great question — I’ll be sure to address this in a future blog post.

      • abdulvahid July 8, 2017 at 8:24 am #

        Adrian, can’t find the post you mentioned here, did you publish it already?

        • Adrian Rosebrock July 11, 2017 at 6:43 am #

          I have not published the tutorial already, I have many other items in my queue right now, but I will try to cover it in the future. Unfortunately, I cannot say when that might be.

  10. gogo456 August 31, 2016 at 5:40 pm #

    this was a great one but i have one qustion
    i dad detected more than one object and i want to sort the Coordinates of this objects in array instead of printing out them like ( push-pop) -sorting method

    do you have eny idea

    • Adrian Rosebrock September 1, 2016 at 11:02 am #

      Can you elaborate more on what you mean? I’m not sure what sorting method you are trying to apply.

  11. Steven September 7, 2016 at 11:20 pm #

    Is it possible to sort contours by both left-to-right and top-to-bottom at the same time?

    • Adrian Rosebrock September 8, 2016 at 1:16 pm #

      Not easily, but yes. If you know the number of items there are in a row, you first from top-to-bottom. Extract the rows, then sort the rows left-to-right. I’ll be demonstrating how to do this in an upcoming blog post.

  12. Jarno January 17, 2017 at 6:21 am #

    You can also make the method shorter.

    reverse = method == “right-to-left” or method == “bottom-to-top”
    i = method == “top-to-bottom” or method == “bottom-to-top”

    instead of initializing and two if’s

    • Adrian Rosebrock January 17, 2017 at 8:41 am #

      Good point, thanks for sharing Jarno.

  13. Kenton June 9, 2017 at 12:34 pm #

    Hey Adrian,

    I think in the section

    “Constructing the actual edge map happens on Lines 54-59, where we loop over each Blue, Green, and Red channel of the image (Line 54), blur each channel slightly to remove high frequency noise (Line 57), perform edge detection, (Line 59), and update the accumulated edge map on Line 60.”

    It should be line 58 instead of 59 and 59 instead of 60. Just a tiny nitpick :o)

    • Adrian Rosebrock June 9, 2017 at 1:33 pm #

      Thank you for pointing this out Kenton, the blog post has been updated 🙂

  14. Ar September 14, 2017 at 7:04 am #

    Hi Adrian,

    I’m having a big problem iterating over contours. I Find Contours and then, when I try to used sorted_contours method you provide us, the error is: TypeError: iteration over non-sequence.

    Do you know what could be happening?

    Thanks in advance Adrian!

    • Adrian Rosebrock September 14, 2017 at 1:16 pm #

      Can you check the output of cv2.findContours and ensure you are actually detecting any contours? It sounds like zero contours may be returned by cv2.findContours.

  15. Max January 4, 2018 at 4:01 am #

    Hey Adrian,

    I just wanted to add (maybe as hint for someone else) that the sorted contours aren’t in the same order as our contour hierarchy anymore. Which means, we can’t just access a contour hierarchy simply by its index we got from our newly sorted contour list.
    I mean, you didn’t intent to sort the hierarchies here, but I just wanted to mention it. That should be something the user should be aware of.

    Thanks for this blog post!

  16. yash February 9, 2018 at 4:41 am #

    tried to run left to right sorting…but it is running twice…in my case 69 contours are their and it again starts labelling from 1st contour and counts from 70….plzz help

    • Adrian Rosebrock February 12, 2018 at 6:40 pm #

      It sounds like the cv2.findContours function is returning two sets of contours for some reason. Did you use the “Downloads” section of this blog post to download the source code to this post before running the script? Additionally, which versions of OpenCV and Python are you using?

  17. Hemi February 12, 2018 at 4:17 pm #

    I do not understand. Are the legos being sorted by their size? I thought by sort, it would mean to rearrange the object in the image?

    • Adrian Rosebrock February 12, 2018 at 6:07 pm #

      They are actually being sorted by their location in the image (top-to-bottom, left-to-right). Did you want to sort them by size instead? If so, use the cv2.contourArea as the key to the sorting function.

  18. Hamed May 25, 2018 at 8:50 pm #

    Thank’s Adrian.
    I have a question. In line 54-59 you split channel of image and the use canny edge detection and then bitwise-or accumedged with edge. why you do this work ? what is the benefit of this work? what is a problem with simple canny edge detection?

    • Adrian Rosebrock May 28, 2018 at 9:54 am #

      There are times when computing the edges on only the grayscale images is not accurate enough. Typically this could be due to the weighted combination of channels during the grayscale conversion or it could be the case that one channel has significantly more edge information than others. In those cases you may want to compute the edge map for each channel individually. I would encourage you to instead compute the edge map on the grayscale version and see what happens.

  19. farhad jafari July 21, 2018 at 8:50 am #

    hi adrian, Thanks for sharing the knowledge,
    What is the zip function mean?
    i don’t find it on the opencv.
    is it for python ?
    and in the end
    how implement it in the c++ ?

    • Adrian Rosebrock July 21, 2018 at 9:09 am #

      The “zip” function isn’t an OpenCV function, it’s a built-in Python function. Given two lists with the same number of elements, the zip function allows you to “zip” them together in a for loop. I would suggest referring to this example for more information.

      • farhad jafari July 21, 2018 at 10:15 am #

        thanks adrian, do you have a solution for implement sorting in c++?

        • Adrian Rosebrock July 25, 2018 at 8:34 am #

          I do not (PyImageSearch is primarily a Python blog). You can use the same techniques in C++ though, the general algorithm will be the same, you’ll just call slightly different functions depending on which C++ libraries you are using.

  20. Lisias July 27, 2018 at 1:04 pm #

    Great post, and thanks for all content.
    Regarding contours sorting, how can I sort by perimeter?
    I used cv2.arcLength instead of cv2.contourArea as key but it didn´t work. It seems can not replace easy like that. How do you suggest to accomplish perimeter sorting as I want the biggest contours?

    Thank you

    • Adrian Rosebrock July 31, 2018 at 11:59 am #

      Something like the following should work:

      cnts = sorted(cnts, key=cv2.arcLength, reverse=True)

      • Lisias August 2, 2018 at 1:19 pm #

        I see, but not..:
        The result for this is:
        cnts = sorted(cnts, key=cv2.arcLength, reverse=True)
        TypeError: arcLength() missing required argument ‘closed’ (pos 2)

        If I try:
        cnts = sorted(cnts, key= cv2.arcLength(cnts, False), reverse=True), I get:
        TypeError: curve is not a numpy array, neither a scalar

        So I am firstly sorting area then checking some perimeter inside loop:

        for (i, c) in enumerate(cnts):

        peri = cv2.arcLength(c, False)
        if peri < XXX:

        But I think is not good, much better if initially sorted by perimeter as area is not important to me. Area is not related to perimeter mostly so is almost random.
        I there is another way I would appreciate.


        • Adrian Rosebrock August 7, 2018 at 7:45 am #

          Another option would be to use lambda functions:

          cnts = sorted(cnts, key=lambda c: cv2.arcLength(c, False), reverse=True)

          I didn’t test the code but you can use Python lambda functions to accomplish the task. Make sure you read up on them.

  21. Lisias August 8, 2018 at 8:50 pm #

    Good suggestion, will explore it. Thanks!

  22. Nishith November 14, 2018 at 6:50 am #

    Can I use the same algorithm for sorting different size of bottles? In my application bottle may be horizontal or vertical with top round facing up side? Basically, I want to move my robotic arm to pickup that bottle

    • Adrian Rosebrock November 15, 2018 at 12:04 pm #

      Yes, provided you can detect the contours of each bottle you can use this method.

      • WDC January 3, 2019 at 4:13 am #

        Hello, I am a student, I am learning Python 2.7 + Opencv3, read your post is very beneficial to me. But now I encounter a problem, because your version is based on opencv2, so I use 3 to make programming unsuccessful, and in my other program, if the circumference and area of each contour have been obtained, now I want to count the number of contours, and want to rank the numbers from small to large in the center position, how to write? I checked a lot on the internet, some said through the “for loop” and also said “count function” and “sort function”, but I still failed to debug. Other minor problems, such as the maximum and minimum area, I use Max and min functions, but they don’t work out. Well, it’s really a headache. If you have time, please help me.can you give me your mailbox? I want to send you the questions and source code I met.

        • Adrian Rosebrock January 5, 2019 at 8:53 am #

          The source code in this post is compatible with OpenCV 2.4, OpenCV 3, and OpenCV 4 so I’m not sure what you mean by the programming being unsuccessful. I would suggest you compute the area of the contour via cv2.contourArea. From there you can sort them from largest to smallest.

          I would also suggest you read through Practical Python and OpenCV so you can learn the fundamentals of computer vision and the image processing. The book will undoubtedly help you so please do take a look.

  23. Yonten Jamtsho February 15, 2019 at 9:28 am #

    When I run to the program, I get the following errors:

    ValueError: not enough values to unpack (expected 2, got 0) in (cnts, boundingBoxes) = zip(*sorted(zip(cnts, boundingBoxes), key = lambda b:b[1][i], reverse=False)). The program works well for some image but for some, I am getting above mentioned error. Can you advise me on that?

    • Adrian Rosebrock February 20, 2019 at 12:53 pm #

      You first need to check and see if at least one contour was detected before trying to apply the sort_contours function:

  24. Hemu March 24, 2019 at 2:00 pm #

    Hey Adrian
    I am feeling embarrassed asking this but I am not getting what is sorting of contours??? By following examples also I am not getting what we are doing. So plzz help me

    • Adrian Rosebrock March 27, 2019 at 9:01 am #

      Here we are sorting contours based on their (x, y)-coordinates, either top-to-bottom or left-to-right.

  25. fatin May 16, 2019 at 12:01 am #

    Hey adrian. thanks for the code. i have error regarding the imutils. grab_contour. my imutils vesion is updated to 0.5.2. can you help me or tell me other ways rather than use the imutils.grab_contour? thank!

  26. Joe June 12, 2019 at 11:05 pm #

    I’ve followed your tutorial but after I plotting my accumEdged it dosen’t look like yours. Why?
    For mine they are not clear and connected like yours

    • Adrian Rosebrock June 13, 2019 at 9:35 am #

      Are you using the example images in this post? Or your own custom images?

  27. Raghav August 26, 2019 at 7:29 am #

    Hey Adrian,

    You’ve explained about 3 objects to get sorted.

    Assume that my image is an irregular single object having 5 points. How will I sort from left-right(followed by top-bottom) ?

  28. sahar tabrizi October 25, 2019 at 1:44 am #

    Hi Adrian,

    Thanks for the code. Can you please also help to indexing these kind of points?
    my data is different set of points distributed in x,y direction; each set includes 6 points that are distributed in x direction ( these points have similar y coordinate but different x coordinates); totally, there are 8 lines of these sets, each set located in different y coordinate. I would like to index them according to increasing y an x coordinates. could you please help me in this regard. thanks.

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