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area_pix(picture_fi​lename)

version 1.1.0.0 (1.14 KB) by juhisteri
Calculates the relation of areas of two domains by counting pixels.

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Updated 23 Mar 2017

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Calculates the relation of areas of two domains by counting pixels.

An application: given a domain E and a disc D with area 1, you obtain the
area of E.

Give a picture containing
*E with one color
*D with another color (prefer white)
*black background

Since the relative areas are calculated, area(E)/area(D) applying an
affine transformation to the picture will not change the result.


Demo1:

urlwrite('http://integraali.com/stuff/kuvioD.png','kuva.png')
area_pix('picture.png')

Demo2:

t=linspace(0,2*pi,100);
x=cos(t).^3;
y=sin(t).^3;
h=figure;
plot(x,y,'k')
hold on
axis([-10 10 -10 10])
g=ginput(1);
a=g(1)+cos(t);
b=g(2)+sin(t);
plot(a,b,'k')
axis equal
box off
axis off
%edit the picture with Paint and apply Demo1

Cite As

juhisteri (2020). area_pix(picture_filename) (https://www.mathworks.com/matlabcentral/fileexchange/62210-area_pix-picture_filename), MATLAB Central File Exchange. Retrieved .

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MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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