Solving for Transformation Matrix
in [Matlab]
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From: Vince on 19 Jan 2010 13:59 Is there a quick way in matlab to solve for a 4x4transformation matrix? I have an array of three '3-element' vectors, denoting a x,y,z coordinate of a particle (so basically each element of the array is a 3x3 matrix that defines the position and orientation of a particle, or in other words Local coordinate system) Each element represents the particle at a certain time, starting at 0 to n. I'm trying to solver for the transformation matrix that is necessary to change from position/orientation at t=0 to t=1 ....t=n-1 to t=n t(1)=T * t(0) I'm wondering if there's a quick and easy way to solver for T (since many iterations are needed).
From: Matt J on 19 Jan 2010 14:15 "Vince" <fefnirator(a)gmail.com> wrote in message <hj4vds$skm$1(a)fred.mathworks.com>... > Is there a quick way in matlab to solve for a 4x4transformation matrix? > I have an array of three '3-element' vectors, denoting a x,y,z coordinate of a particle (so basically each element of the array is a 3x3 matrix that defines the position and orientation of a particle, or in other words Local coordinate system) > Each element represents the particle at a certain time, starting at 0 to n. > I'm trying to solver for the transformation matrix that is necessary to change from position/orientation at t=0 to t=1 ....t=n-1 to t=n > > t(1)=T * t(0) > > I'm wondering if there's a quick and easy way to solver for T (since many iterations are needed). This might help: http://www.mathworks.com/matlabcentral/fileexchange/26186-absolute-orientation-horns-method
From: Vince on 20 Jan 2010 12:00
Matt, Thank you very much, just what I needed "Matt J " <mattjacREMOVE(a)THISieee.spam> wrote in message <hj50c8$3v$1(a)fred.mathworks.com>... > "Vince" <fefnirator(a)gmail.com> wrote in message <hj4vds$skm$1(a)fred.mathworks.com>... > > Is there a quick way in matlab to solve for a 4x4transformation matrix? > > I have an array of three '3-element' vectors, denoting a x,y,z coordinate of a particle (so basically each element of the array is a 3x3 matrix that defines the position and orientation of a particle, or in other words Local coordinate system) > > Each element represents the particle at a certain time, starting at 0 to n. > > I'm trying to solver for the transformation matrix that is necessary to change from position/orientation at t=0 to t=1 ....t=n-1 to t=n > > > > t(1)=T * t(0) > > > > I'm wondering if there's a quick and easy way to solver for T (since many iterations are needed). > > This might help: > > http://www.mathworks.com/matlabcentral/fileexchange/26186-absolute-orientation-horns-method |