Recent content by yasith

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    Help with applying the least squares method for solving simultaneous equations

    Hi everyone given the system of equations A1Cx + B1Cy + C1Cz = D1 A2Cx + B2Cy + C2Cz = D2 A3Cx + B3Cy + C3Cz = D3 I need to solve for Cx, Cy, Cz All other variables are known and constants. However all other variables (A,b,c,d) come from experimentally measured data and thus I cannot...
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    How Can You Calculate the Center of Rotation in 3D Space?

    Dear all, I have a problem that I need to solve. (I have made posts previously about this as well). Quite simply now I have an object that rotates in 3D space (No translation). I have coordinates of 3 points before and after rotation. Using this data how can I calculate its centre of...
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    How to Calculate the Axis of Rotation in 3D Space?

    thank you tinyboss for your response. I can get track as many points as I need to solve this problem. So the solution to this problem can be achieved by tracking 2 points at 2 time instances? if so can someone be kind enough to show me the working for this solution. also is there...
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    How to Calculate the Axis of Rotation in 3D Space?

    this is a diagram to the problem I have a perfect 3D volume rendered model of the wrist in 3D motion which I take measurements from I have managed to map all the points of interest to a 3D coordinate system. Therefore my input is p = [x,y,z]. The problem is to calculate instant...
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    How to Calculate the Axis of Rotation in 3D Space?

    thanks D H for your input. The problem I have at hand is to map the motion of a bone. There is no translation component to this problem. It is pure rotation. I am mapping landmarks on the bone at each 1 second interval. therefore between each time point I want to map the instant axis...
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    How to Calculate the Axis of Rotation in 3D Space?

    thank you for the reply, yes the pivot point is not known i can get 3 landmark points. if this is the case how can I approach this problem?
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    How to Calculate the Axis of Rotation in 3D Space?

    hey guys, I have a problem I need to solve for my masters thesis. I have an object that rotates in 3D space. There is no translation. Given that I have coordinates of one landmark at 2 instances of time I need to calculate axis of rotation and angle of rotation. is this sufficient...
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    Stuck on a 3D coordinate geometry problem

    i think we are nearly there solving the problem. angle axis method and dot product is going to give the answer. Do you have a link for the working on this? I need to get my head around this concept. more I think about this problem I feel it may be very simple. Can you suggest a link to the...
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    Stuck on a 3D coordinate geometry problem

    I have been looking into the concept of inverse kinematics to apply to this model as you suggested and I can see a few problems. the anatomical area that I am interested in studying is the carpal bones (small bones at the end of the wrist) which has a multitude of small ligaments attached to...
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    Stuck on a 3D coordinate geometry problem

    to quite simply put there will only be 2 bones involved. One of them will be used to build the reference dimension axis and the other will be the mobile object which we need to describe.
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    Stuck on a 3D coordinate geometry problem

    thank you so much for your help chiro. using my diagram and understanding of my problem can you show me the working for your quoted description?
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    Stuck on a 3D coordinate geometry problem

    mediafire.com/?m62f9do2jgzg6o4 is a link to a diagram of my problem. please add www. at the front sorry I can't link the image directly yet as I have not reached 10 posts on this forum to attach an image. point a,b,c are my constant points which I am using to define a set of axis object of...
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    Stuck on a 3D coordinate geometry problem

    Thank you for the reply Chiro that is very helpful indeed. The problem I am faced is defining the rotation component of an object given the coordinates of original and end position. For my particular problem I have a perfect 3D rendered model of a small bone which I have put though its...
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    Stuck on a 3D coordinate geometry problem

    Dear all, I am a medical doctor stuck with a mathematics problem. I have taken a project to map the 3D movement of a particular bone and describe its motion. My maths knowledge is a bit lacking. However using logic I felt that I would need to track 3 constant markers on the particular bone...
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