# how to convert Pixel to cm

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Edited: Image Analyst on 31 Jul 2021
Hi all
Hope you are keeping good and enjoying a lot. i contoured some region of a image using imfreehand. i want to caculate the volume of every pixel inside the contour. but the information i have get in pixels[X and Y coordinate values are in pixel] and Z coordinate is thickness of the image which is in cm. i need to convert the pixel to cm to get the volume of the each pixel. is there any formula or any suggestions???
but for the whole image i have voxel size information as below. voxel size [Y=0.09cm, Y=0.09cm, Z=0.18cm].will this helpful.
any help is appreciated in advance.
Image Analyst on 31 Jul 2021
@Oscar Garcia (expand comments to wee Walter's above mine), what is your definition of volume? You mean the true spatial volume like units of cubic cm? You can't get that from a single 2-D image, not even a range/topographic image unless you make some assumptions as to where the "back" of the object is and what shape it has. Or maybe you mean the integrated gray value in some region of interest -- kind of like the intensity was a surface and you want the volume below the surface. I suggest you start your own question and attach your images and indicate what region in the image you want the "volume" of. In the meantime, see attached spatial calibration demo.

Walter Roberson on 17 Sep 2013
Multiply number of pixels by 0.09cm to get length in cm. Number of total pixels times (0.09)^2 to get the area in cm^2. Multiply that by 0.18 to get volume in cm^3
Dear Dr. i am sending you my 2 pushbuttons program.which will tell how i created that workbook. 1 pushbutton is to contoure and other is to creat Excel sheet. please guide me about this. is this right or wrong way? and how can we calculate the volume of single pixel? as you know single pixel is a voxel because if its its coordinates are (x,y, thickness). if i say i want Volume of each Voxel inside the contoure region then it will better. hoping for early response;
if true
function Contourpushbutton_Callback(hObject, eventdata, handles)
% imfreehand
h=imfreehand(gca,'closed',0);
% waitfor(h);
pos = getPosition(h);
% sz = size(handles.listbox1);
handles.output = hObject;
index = get(handles.listbox1,'value');
sz = size(handles.I{index});
guidata(hObject, handles); %use this line to save the handles structure during callbacks
end
if true
% --- Executes on button press in ExcelPushbutton.
function ExcelPushbutton_Callback(hObject, eventdata, handles)
[X, Y] = find(handles.maskedImage ~= 0);
data=[Y,X];
Z = repmat(0.18,[length(X),1]);
A=times(X,Y);
volume=times(A,Z);
[FileName,PathName] = uiputfile('*.xls','Save data to spreadsheet');
Data=[X,Y,Z,volume];
xlswrite([PathName '/' FileName],Data);
end