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Author Topic: fractal algorithm  (Read 2751 times)
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lajevardi.am
Guest
« on: March 04, 2012, 03:56:41 PM »

Hi
i want to create a device for calculate surface/area of rough objects like mountain (but in small scale)
for example i want to calculate  area of small piece of bread . but i don't know which algorithm  should i use  .
i have a device that measure the height of each points but i don't know how use them for calculate area of objects . please help me   sad
i`m confused  sad
Thank You !
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cKleinhuis
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formerly known as 'Trifox'


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« Reply #1 on: March 04, 2012, 04:15:08 PM »

huh? what is your plan ? you want to greate graphics ?
or you want to create numbers based on real-live measurement ? please elaborate a bit more, what is that hardware you describe doing ? and what is the result you want to generate ?
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fractower
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« Reply #2 on: March 04, 2012, 06:36:26 PM »

If you have your measurements in (X,Y,Z) coords and you have triangulated the surface, then the area of each triangle is easily calculated. Assume you have defined a triangle as 3 points P1, P2, and P3, The the area of the triangle is given by.

A = |(P1-P2)X(P2-P3)|/2

Where "X" is the vector cross product. You will then need to sum up all your triangles.
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DarkBeam
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« Reply #3 on: March 11, 2012, 09:24:14 AM »

The more your surface is fractal, the more the area will grow.

Example; Menger sponge has an infinite area! alien

See also http://en.wikipedia.org/wiki/How_Long_Is_the_Coast_of_Britain%3F_Statistical_Self-Similarity_and_Fractional_Dimension
« Last Edit: March 11, 2012, 09:41:05 AM by DarkBeam » Logged

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