Recent content by yasith

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    Undergrad Least squares method for overdetermined linear system with measured data

    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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    Undergrad 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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    Graduate 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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    Graduate 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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    Graduate 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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    Graduate 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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    Graduate 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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    Undergrad Decomposing bone motion into translation and rotation from marker coordinates

    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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    Undergrad Decomposing bone motion into translation and rotation from marker coordinates

    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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    Undergrad Decomposing bone motion into translation and rotation from marker coordinates

    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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    Undergrad Decomposing bone motion into translation and rotation from marker coordinates

    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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    Undergrad Decomposing bone motion into translation and rotation from marker coordinates

    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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    Undergrad Decomposing bone motion into translation and rotation from marker coordinates

    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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    Undergrad Decomposing bone motion into translation and rotation from marker coordinates

    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...