How to calculate the area of single leaf along with its height
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Malini
le 11 Juil 2023
Commenté : Image Analyst
le 17 Août 2023
How to calculae the area of single leaf with its height? Since the leaf is rounded and not flat, how to estimate the area of other sides of the leaf?![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1431488/image.jpeg)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1431488/image.jpeg)
2 commentaires
Diwakar Diwakar
le 11 Juil 2023
It's challanging task. still you can make an approximation by assuming the leaf's shape resembles a hemisphere or a portion of a sphere.
Example code:
% Leaf height (in centimeters)
height = 10;
% Radius of the rounded leaf (assuming a hemisphere or a portion of a sphere)
radius = height / 2;
% Calculate the approximate area of the rounded leaf
area = 2 * pi * radius^2;
disp(['The estimated area of the leaf is: ', num2str(area), ' cm^2']);
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Image Analyst
le 12 Juil 2023
First of all you need to segment the plant, which is easy enough. Then get the skeleton of the leaf with bwskel. Then you need to get the radius at each location along the leaf's skeleton with a distance transform bwdist . Then square it and multiply by pi and sum it up for all points along the skeleton.
A demo for a similar (but not identical) is attached.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1432933/image.png)
7 commentaires
Image Analyst
le 17 Août 2023
To get the area of each leaf, you need to make sure they're separated and then threshold to get a mask (binary image). Then you simply do
props = regionprops(mask, 'Area');
allAreas = [props.Area]
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Vishnu
le 12 Juil 2023
I understand that you want to get an approximation for the area of a rounded leaf, now since the leaf is rounded the only way to get the approx area is to divide the entire height of the leaf into multiple smaller unit which can be cyllindrical(This is assumption for the approximation). We can then procced to integrate this cyllindrical shell element across the height of the entire leaf with an integral function to get the area of the leaf.
Here is the working code for this approach:
function leafArea = estimateLeafArea(radius, height)
% Define the function representing the leaf shell
leafShell = @(x) sqrt(radius^2 - (radius/height)^2 * x.^2);
% Define the integration limits
lowerLimit = -height/2;
upperLimit = height/2;
% Perform the integration using the integral function
leafArea = integral(leafShell, lowerLimit, upperLimit);
end
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