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Complex Bin range for RGB Histogram

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    Complex Bin range for RGB Histogram

    I am attempting to create a Histogram with 8-bins. Each bin calculates the frequency of the RGB values given the following ranges:

    bin1 0>=128,0>=128,0>=128
    bin2 0>=128,0>=128,128>=256
    bin3 0>=128,128?=256,0>=128
    bin4 0>=128,128>=256,128>=256
    bin5 128>=256,0>=128,0>=128
    bin6 128>=256,0>=128,128>=256
    bin7 128>=256,128>=256,0>=128
    bin8 128>=256,128>=256,128>=256

    My RGB values are:

    123 23 34
    23 43 223
    12 34 56
    231 32 112
    123 12 42
    23 233 44
    223 34 23
    33 26 29

    The Histogram should show that bin1 Frequency is 4, bin 2 & bin 3 = 1, and bin5 = 2.

    I know how to create a histogram and how to define a standard range for bins; however, how do I implement the ranges for bins1-8 listed above? Eventually I also want to implement 64-bins and 512-bins.

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    Re: Complex Bin range for RGB Histogram

    Is there a formula that will let me enter the ranges for each bin?

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    Re: Complex Bin range for RGB Histogram

    In other words, bin1 checks to see if column 1 is between 0 and 128, column 2 is between 0 and 128, and column 3 is between 0 and 128
    bin 2 checks to see if column 1 is between 0 and 128, column 2 is between 0 and 128, and column 3 is between 128 and 256.
    etc....
    I am pretty sure this can be done, I am just not very familiar with Excel and the syntax eludes me.

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    Re: Complex Bin range for RGB Histogram

    I think the way I would do it would be to assign each RGB bin a 3 digit number. Maybe bin 1 is assigned 000, bin3 is 010, bin 8 is 111.
    For each data point, compute the equivalent 3 digit number. Something like 100*int(column1/128)+10*int(column2/128)+1*int(column3/128), should yield the correct 3 digit number based on the numbering scheme given. From there, you can use the usual histogram creating tools (FREQUENCY() function followed by a column chart).

    I'm sure there are other approaches that would work equally well. This one made sense to me.
    Last edited by MrShorty; 04-30-2015 at 03:32 PM.
    Quote Originally Posted by shg
    Mathematics is the native language of the natural world. Just trying to become literate.

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    Re: Complex Bin range for RGB Histogram

    I understand the logic behind your explanation, but I do not know how to assign three values in one cell. 000 auto converts to simply 0. I am assuming I would just write 0 0 0 each in an adjoining cell? Also, where do I define the equation you gave as an example, or any equation for that matter?

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    Re: Complex Bin range for RGB Histogram

    One way:

    Row\Col
    A
    B
    C
    D
    E
    1
    R
    G
    B
    Bin
    2
    123
    23
    34
    0
    D2: =SUMPRODUCT({4,2,1}, INT(A2:C2/128))
    3
    23
    43
    223
    1
    4
    12
    34
    56
    0
    5
    231
    32
    112
    4
    6
    123
    12
    42
    0
    7
    23
    233
    44
    2
    8
    223
    34
    23
    4
    9
    33
    26
    29
    0
    10
    255
    255
    255
    7
    Entia non sunt multiplicanda sine necessitate

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    Re: Complex Bin range for RGB Histogram

    Here is a photo of what I have. I just used some values for the bins to get the program working; however, I want the 8-bin parameters I defined above to
    be used over the entire data set. This is just a small sample. I am actually using a csv file with 6000+ RGB values extracted from images.

    Capture.PNG

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    Re: Complex Bin range for RGB Histogram

    Picture aren't of much use.

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    Re: Complex Bin range for RGB Histogram

    Don't know why it's not showing up. How can I upload my Excel page?

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    Re: Complex Bin range for RGB Histogram

    Hopefully this works
    Attached Files Attached Files

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    Re: Complex Bin range for RGB Histogram

    Using the formula from the prior post,

    Row\Col
    A
    B
    C
    D
    E
    F
    G
    H
    1
    R
    G
    B
    Bin
    Bin
    Count
    2
    123
    23
    34
    0
    0
    4
    G2:G9: {=FREQUENCY(D2:D9, $F$2:$F$9)}
    3
    23
    43
    223
    1
    1
    1
    4
    12
    34
    56
    0
    2
    1
    5
    231
    32
    112
    4
    3
    0
    6
    123
    12
    42
    0
    4
    2
    7
    23
    233
    44
    2
    5
    0
    8
    223
    34
    23
    4
    6
    0
    9
    33
    26
    29
    0
    7
    0

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    Re: Complex Bin range for RGB Histogram

    Am I supposed to use the formula in column H2 with the Histogram function?

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    Re: Complex Bin range for RGB Histogram

    No; that's what the FREQUENCY function does. See Help.

    Select G2:G9, paste the formula in the formula bar (minus the curly braces), press and hold the Ctrl and Shift keys, then press Enter.

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    Re: Complex Bin range for RGB Histogram

    Ahh that's right, the control shift thing. I forgot about that.

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    Re: Complex Bin range for RGB Histogram

    Alright, I'm about fed up with this. I've implemented the formula like you suggested, but a Histogram will not let me choose the bin ranges with non-numeric values. I think I'm just going to write a Java program to develop the Histogram from the text files.

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    Re: Complex Bin range for RGB Histogram

    Why would you want non-numeric bins?

    And why do you want to use Histogram instead of FREQUENCY?
    Last edited by shg; 05-01-2015 at 11:51 AM.

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    Re: Complex Bin range for RGB Histogram

    Your post does not comply with Rule 8 of our Forum RULES. Do not crosspost your question on multiple forums without including links here to the other threads on other forums.

    Cross-posting is when you post the same question in other forums on the web. The last thing you want to do is waste people's time working on an issue you have already resolved elsewhere. We prefer that you not cross-post at all, but if you do (and it's unlikely to go unnoticed), you MUST provide a link (copy the url from the address bar in your browser) to the cross-post.

    Expect cross-posted questions without a link to be closed and a message will be posted by the moderator explaining why. We are here to help so help us to help you!

    Read this to understand why we ask you to do this, and then please edit your first post to include links to any and all cross-posts in any other forums (not just this site).

    http://www.mrexcel.com/forum/excel-q...-function.html
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    Re: Complex Bin range for RGB Histogram

    I almost have this solved. However, the formula is not quite right. Take a look at the picture. Any suggestions?
    Attached Images Attached Images

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    Re: Complex Bin range for RGB Histogram

    This is a duplicate message. Sorry about that.
    Attached Images Attached Images

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    Re: Complex Bin range for RGB Histogram

    I would never have imagined that visiting multiple forums in an effort to solicit advice is against some sort of code of conduct. Why wouldn't I post my question in more than one forum? It's quite logical to ask for assistance from multiple venues, as it increases the chances that someone willing and knowledgeable would answer my question. This question has not been solved, so I'm not quite sure how this would affect anyone on this site. In fact, I never even received a single response on MrExcel, except for your "this is a cross-post comment." And if this is solved, I will certainly mark it as such and be sure to acknowledge the people who have helped me. I think you may have jumped the gun on this one, but they are your rules, so I will abide by them.

    Cross-post link:

    http://www.mrexcel.com/forum/excel-q...-function.html

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    Re: Complex Bin range for RGB Histogram

    Excerpt from the link:
    ...If you post on several boards, you have several groups of people working on the same issue, without necessarily knowing what the others are doing.

    Ask yourself this: How would you feel if you worked on an answer for an hour, only to find out that fifteen minutes after you started, someone already had a solution they accepted? I'd be willing to bet you'd be a little upset that you'd wasted your time. ...

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    Re: Complex Bin range for RGB Histogram

    I completely understand, but I did not receive a single reply from the other site, and I felt I was not making headway in this forum. Look at it this way: had I received a solution from either site I would have posted it on the respective forum. That is proper forum etiquette. I understand why you would want to see if someone in another forum is actively helping, and what advice they have already given. Point taken. My horse is dead..and beaten.
    Last edited by ibcoding; 05-01-2015 at 02:03 AM.

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    Re: Complex Bin range for RGB Histogram

    Quote Originally Posted by ibcoding View Post
    Here is a photo of what I have.
    Again, pictures aren't of much use.

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    Re: Complex Bin range for RGB Histogram

    Alright, here is the formula: =FREQUENCY((1*INT((A2:C9)/128)+1),(D2:F9)/128) This converts all the data into 1's and 2's, i.e. 1,1,1;1,1,2;1,2,1....and so on. The bins are also calculated as such. It properly categorizes the 4 RGB values that fall in the range of 0>=128, but it does not add a counter to the other categories. The proper Histogram output for frequencies is 4 1 1 0 2 0 0 0, for bin1 to bin8.

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    Re: Complex Bin range for RGB Histogram

    Bins must be a 1D array, and I can't tell what you're trying to calculate, and I'm not going to enter data manually from a picture to try to figure it out.

    You might have better luck if you would actually try the suggestions that have been made, or explain why they are not appropriate and you're going off in your own direction. This is not a complex problem.

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    Re: Complex Bin range for RGB Histogram

    I tried the suggestions but they do not work. Ok, let me explain it like this and maybe it will make sense. I want to create a histogram from a text file with over 6000 RGB values.

    123,23,34
    203, 34, 199
    etc....

    I want to use 8-bin Histograms, 64-bin histograms, and 512-bin Histograms. I have solved this using 8 bin columns, with a frequency formula for each bin. It properly computes the number of frequency a RGB pixel falls into the respective bin parameters, .i.e. bin1 = 0>=128,0>=128,0>=128. But imagine how much work this will be if I have to do 64 and 512 bins. I don't want to type that in that many times. So I was hoping to create a formula that I can simply change the bin value to compute the additional bins. All this program should do is tell me how many times a RGB value belongings to a particular bin based on the values of each pixel.

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    Re: Complex Bin range for RGB Histogram

    How about SUMPRODUCT:



    Untitled.png
    Attached Files Attached Files
    Quang PT

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    Re: Complex Bin range for RGB Histogram

    That's it actually. I didn't think to use SUMPRODUCT. So I'll just have to input the RGB bin values manually, which is better than 512 formulas. 512 inputs here I come!. Thank you.
    Last edited by ibcoding; 05-01-2015 at 01:59 PM.

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    Re: Complex Bin range for RGB Histogram

    Quote Originally Posted by ibcoding View Post
    So I'll just have to input the RGB bin values manually. 512 inputs here I come!.
    Formula can do it automatically, I think. What is the logic? Can you give more sample bins, i.e from bin 9 to 16?

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    Re: Complex Bin range for RGB Histogram

    Well it changes for 64 bins and 512.

    64 bins:

    bin1 = 64, 64, 64
    ...
    bin64 = 192>=256, 192>=320, 192>=256

    or

    2^6, 2^6, 2^6

    and (3*2^6<=red<4*2^6) && (3*2^6<= green<5*2^6) && (3*2^6<=blue<4*2^6)

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    Re: Complex Bin range for RGB Histogram

    I tried the suggestions but they do not work.
    When I tested mine, it seemed to work. I expect that shg tested his and it worked, too. I think what we need to do is figure out why you are having trouble implementing our suggestions.

    I suspect that this:
    will not let me choose the bin ranges with non-numeric values.
    might be part of it. When I tested mine, I made sure that the assigned bin values would be numeric to avoid any troubles with text strings and numbers stored as text strings. Remember that, to a computer, the number 0 is the same as 00 is the same as 000. As long as your algorithm maintains this equality, it should not matter that Excel shows 0 when you enter 000. If you want to display all three digits, including leading 0's, use a number format code like "000".

    If you are going to want to use smaller divisors (64 or 32), I would suggest you decide at the start what your smallest division will be, then build from there.

    Here's my test spreadsheet. See if it helps understand how this might work.
    Attached Files Attached Files

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    Re: Complex Bin range for RGB Histogram

    After reading additional discussion. You shouldn't need to manually input the RGB bins. You just need to apply the same logic/formulas to the bin cutoff values as was used for the real RGB points.

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    Re: Complex Bin range for RGB Histogram

    Where is the data in column 7 coming from?

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    Re: Complex Bin range for RGB Histogram

    Rows 13:20 are the data that you posted in post #1. Rows 21 on are some random numbers I generated (see the RANDBETWEEN() function in R21C1:R41C3). The FREQUENCY() function in column 6 is limited to the data you posted from post 1 and shows that it creates the result you expected. The FREQUENCY() function in column 7 shows the expanded results for your data plus the random data I generated.

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    Re: Complex Bin range for RGB Histogram

    Ok, I get how this works.

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    Re: Complex Bin range for RGB Histogram

    Ok, I am just not familiar with Excel. This is my first time using this darn application. How do I alter the calculations to take in massive amounts of RGB data. I know how to replace the rows starting at R13C2 (Ctrl+Shift+DownArrow) which selects everything from that point down.

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    Re: Complex Bin range for RGB Histogram

    The new data starts at row 20, I get that, but the intermediate calculations stop at row 41

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    Re: Complex Bin range for RGB Histogram

    Quote Originally Posted by ibcoding View Post
    Ok, I am just not familiar with Excel. This is my first time using this darn application. How do I alter the calculations to take in massive amounts of RGB data. I know how to replace the rows starting at R13C2 (Ctrl+Shift+DownArrow) which selects everything from that point down.
    Does this also mean that this is your first attempt at any spreadsheet application? One of the first things I learned when I first started learning spreadsheets (since almost all spreadsheet applications are the same in this regard) is how to create formulas so that they can easily and efficiently be copied. I would suggest you start with something like this: https://support.office.com/en-us/art...3-c311f47ca173 and/or any other "introduction to spreadsheets" tutorial you can find on the internet. The key concepts you need to understand are those related to relative and absolute referencing and how to write formulas that are easy to copy. For example, the formulas I used in the "intermediate calculations" section should just copy+paste down as far as you need them to go. IMO, a big part of what makes spreadsheets useful is this ability to create a formula once, then copy it wherever it is needed. Learning how this part of spreadsheet programming works is an important first lesson to understand.

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    Re: Complex Bin range for RGB Histogram

    Yes, this is my first time using a spreadsheet. So if I take a R21:C2,C3,C4 and past data that extends down into row 60001, I can simply highlight all thecells below R13:C6-8 (using the formula you have) and then CTRL+Shift+ENTER to apply it to the new data?

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    Re: Complex Bin range for RGB Histogram

    ctrl+shift+enter is the keystroke for entering array formulas, which is not really the same as copy and paste. When I wrote the formula for the intermediate calculations, I created/entered the formula in R13C5. Then I copied R13C5 to the clipboard (ctrl+c), then selected the desired destination range, then pasted the formula in the destination range (ctrl+v). Copy and paste commands are also available in the Clipboard group of the Home tab on the ribbon, and by right clicking on a cell or range to bring up the context menu.

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    Re: Complex Bin range for RGB Histogram

    Ok, I just experimented with it. If I copy the formulas for a single cell at a time, I can replicate the data beyond row 41; however, if I try to highlight a few thousand rows, errors occur. This is more than likely an issue with how I am copying and pasting the formula for those cells, since I was using the ctrl+shift+enter. I'll try it again, and it should work.

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    Re: Complex Bin range for RGB Histogram

    The problem is that I can't seem to make the formula repeat without manually copying and pasting it into each cell.......NEVERMIND.. Ctrl+Enter
    Last edited by ibcoding; 05-01-2015 at 05:02 PM.

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    Re: Complex Bin range for RGB Histogram

    Row\Col
    B
    C
    D
    E
    F
    G
    H
    2
    nBins
    8
    << change this
    3
    4
    R
    G
    B
    Bin
    Count
    5
    58
    229
    2
    0
    55
    6
    242
    231
    244
    1
    60
    7
    63
    141
    236
    2
    68
    8
    178
    109
    212
    3
    68
    9
    38
    67
    230
    4
    71
    10
    29
    165
    45
    5
    66
    11
    124
    75
    47
    6
    65
    12
    228
    136
    43
    7
    59
    13
    166
    224
    139
    8
    #N/A
    14
    155
    219
    211
    9
    #N/A
    15
    60
    246
    16
    10
    #N/A
    16
    134
    30
    72
    11
    #N/A
    17
    14
    44
    184
    12
    #N/A
    18
    217
    159
    122
    13
    #N/A


    See attached. All you need to do is paste your actual data starting in B5.
    Attached Files Attached Files

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    Re: Complex Bin range for RGB Histogram

    Holy crap, that's very good. Both you and MrShorty have been fantastic. I just managed to make this work for the one he provided, but it may be easier to use this, since all I have to do is change the number of bins. Very cool.

  45. #45
    Forum Expert shg's Avatar
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    Re: Complex Bin range for RGB Histogram

    You're welcome.

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