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February 09, 2012, 06:47:55 AM
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+  Robotforum | Support for Robotprogrammer and Users
|-+  General Category - Industrial Robot Forum
| |-+  Robot Geometry, Linear Algebra, Forward and Inverse Kinematics
| | |-+  Locate center point
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Author Topic: Locate center point  (Read 1099 times)
Lerak
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« on: January 28, 2010, 06:44:29 PM »

I want to know how can i use three points coordinate data around a ball (by touching like CMM) to find the center point of that ball (basically X,Y,Z) ?

 
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Fabian Munoz
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« Reply #1 on: January 28, 2010, 08:39:05 PM »

Lerak

Three points are not enough to determine a sphere, even if they are not colinear (lying on the same line).  You need four points, not coplanar (lying in the same plane) to uniquely determine a sphere.

Can you teach 4 points ?


Let me guess, after find the spehere ,you want to find the center of the sphere and make it a external TCP

It's going to take few lines of code in the robot to resolve the matrix but is not imposible


http://2000clicks.com/MathHelp/GeometryConicSectionSphereEquationGivenFourPoints.aspx

somar
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Lerak
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« Reply #2 on: January 29, 2010, 04:30:46 AM »

I have three spheres to build a Uframe, so i think of finding the center point of each sphere (without orientation of a plan linked each sphere).

That's why i was thinking of three points, but yes i could teach 4 !

Thanks for the link !

 
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