How to compute 3D volume using Linearlization ?!

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Hello Everybody;
I want your help for solving a question for volume computation of a cone. Given a set of short axis images, we need to estimate the volume of this cone concerning about the slice thickness; inter-slice gap. assume that the shape is as you see in the attached image. I have to calculate the following:
- distance between the planes containing the contours
- the area of each contour
- the radius of a circle whose area = area of smallest contour
- the volume of each frustum
- the volume of the half sphere
- the total volume
Hint 1: to draw the contours(attached at a mat file) , use the following matlab code:
if true
% code
load('Contours.mat');
figure,hold on,
for i=1:8,
S=DataSet{i};
plot3(S(:,1),S(:,2),S(:,3));
end
Your help is highly appreciated...
  6 个评论
Mariam Sheha
Mariam Sheha 2016-3-25
Thanks for your answer Ced,
i know how to compute a BW image centroid, area and also orientation. but in the case of these contours i don't know how to deal?!
let's be more specific...
how can i make 3D orientation, compute the center and radius of each of these contours?, then compute area?!
Ced
Ced 2016-3-25
What do you mean by BW image centroid? Not a vision person, sorry, so this might be a trivial question.
But you have the coordinates of the contours (saved in the mat file), so just do the same with them as you would with the BW image I guess.

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