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Sophia Truthspeaker
THE INTERNET. Goodfellas.
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Posted - 2009.02.14 17:07:00 -
[1]
Concerning triangulation. I understand traingulation as having to known points, and knwoing the angle at which the third point is. Then you know the position of the third point. Pretty easy. The fun part is, it doesn't matter if you are in a 2d, 3d or 86d environment. A triangle will always be on a plane. If a chair has three legs, all three legs will touch the ground. There is no case in which one leg of the chair doesn't reach the floor unlike a chair with four legs.
That being said, it isn't triangulation used with scanning. It measures (like gps) the distances between points. If you got one probe and you know how far away your other point is, it is in a ball around the prob. If you got two probes, you get a circle, because a circle is the intersection between two balls. Three probes, two points, because the intersection of three balls are on two points. That is the reason why you need 4 probes.
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Sophia Truthspeaker
THE INTERNET. Goodfellas.
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Posted - 2009.02.14 18:17:00 -
[2]
Originally by: Hugh Ruka omg ... fail
triangulation only works on a 2d plane ... your eyes are refocusing rapidly on different points on the object, and yous brain is just fooling around with the results. that's why you can perceive 3d space on a 2d surface when you are presented the right picture. if this worked as you say, stereograms would never work for humans ...
Yep, triangulation only works on a plane... pity that you can draw a plane through any three points you care to set... which means it works in 3d because it works in 2d ^^
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Sophia Truthspeaker
THE INTERNET. Goodfellas.
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Posted - 2009.02.14 19:00:00 -
[3]
Originally by: Hugh Ruka it works in 2d but that does not mean it works in 3d for exact location. a plane is still not a point in space, it's a plane. and a plane contains an infinite number of points ... needle in haystack is freaking easy compare to that ...
Its pretty easy... imagine a table. On that table three marbles. You know the location of two marbles, and you know the direction you have to take to get from either one of the marbles to the third. Triangulation says you now know the location of the third marble.
To make it 3d, simply lift the table on one side. If the marbles down fall to the floor (because they are sticky or whatever) they will still form a triangle on the table. Let the side of the table fall down, but the marbles will hold their place, and now you got a triangle in 3d, showing you triangulation still works in 3d...
BTW, how do you think surveyors cartographed the land? ^^
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Sophia Truthspeaker
THE INTERNET. Goodfellas.
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Posted - 2009.02.14 22:24:00 -
[4]
Originally by: Hugh Ruka
triangulation on earth works only on land. since the height is given by the height of the surface, you only need to work 2 dimensions (a plane bent to form a sphere basicaly).
however it would not work underwater or in the air, as it would give an infinitely long line of possible locations :-)
You missed the fun part... it doesn't matter where the three points are, they ALWAYS are on a plane. That the plane isn't necessarily what we call horizontal doesn't matter. Draw a triangle on a piece of paper and start waving the paper around. No matter how oyu hold the piece of paper, you will always be able to get from two points to the third.
The eve system works diffrently, it measure distances, instead of directions. And even on piece of paper and a plane you will get two possible points, if you check distances between points.
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Sophia Truthspeaker
THE INTERNET. Goodfellas.
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Posted - 2009.02.14 22:54:00 -
[5]
Originally by: Hugh Ruka
looking forward to your Apocrypha scanning guide :-)
Agreed!
Thanks Hoshi, for the first scanning guide. Wouldn't try it on sisi without you helping me understand the privious incarnations.
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