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angel_30
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This is the follow-up question from here: Minimum requirements to uniquely represent a 3D object in space

Assume I have 3 original points in a 3D object (in 3D space) as A1=<xa,ya,za>, A2=<xa,ya,za>, and A3=<xa,ya,za> (assume we have all the requirements mentioned in our previous question). The 3D object is moved and rotated in the 3D space, and the new destination points become B1=<xb,yb,zb>, B2=<xb,yb,zb>, and B3=<xb,yb,zb>.

What is the formula for the transformation matrix and following that, the degree of rotation in each axis? Basically, I need a matrix that if applied to all points of the origin object, I get the displaced object.

This is the follow-up question from here: Minimum requirements to uniquely represent a 3D object in space

Assume I have 3 original points in a 3D object (in 3D space) as A1=<xa,ya,za>, A2=<xa,ya,za>, and A3=<xa,ya,za> (assume we have all the requirements mentioned in our previous question). The 3D object is moved and rotated in the 3D space, and the new destination points become B1=<xb,yb,zb>, B2=<xb,yb,zb>, and B3=<xb,yb,zb>.

What is the formula for the transformation matrix and following that, the degree of rotation in each axis? Basically, I need a matrix that if applied to all points of the origin object, I get the displaced object.

This is the follow-up question from here: Minimum requirements to uniquely represent a 3D object in space

Assume I have 3 original points in a 3D object (in 3D space) as A1=<xa,ya,za>, A2=<xa,ya,za>, and A3=<xa,ya,za> (assume we have all the requirements mentioned in our previous question). The 3D object is moved and rotated in the 3D space, and the new destination points become B1=<xb,yb,zb>, B2=<xb,yb,zb>, and B3=<xb,yb,zb>.

What is the formula for the transformation matrix? Basically, I need a matrix that if applied to all points of the origin object, I get the displaced object.

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angel_30
angel_30
  • 229
  • 1
  • 9

This is the follow-up question atfrom here: Minimum requirements to uniquely represent a 3D object in space

Assume I have 3 original points in a 3D object (in 3D space) as A1=<xa,ya,za>, A2=<xa,ya,za>, and A3=<xa,ya,za> (assume we have all the requirements mentioned in our previous question). The 3D object is moved and rotated in the 3D space, and the new destination points become B1=<xb,yb,zb>, B2=<xb,yb,zb>, and B3=<xb,yb,zb>.

What is the formula for the transformation matrix and following that, the degree of rotation in each axis? Basically, I need a matrix that if applied to all points of the origin object, I get the displaced object.

This is the follow-up question at here: Minimum requirements to uniquely represent a 3D object in space

Assume I have 3 original points in a 3D object (in 3D space) as A1=<xa,ya,za>, A2=<xa,ya,za>, and A3=<xa,ya,za> (assume we have all the requirements mentioned in our previous question). The 3D object is moved and rotated in the 3D space, and the new destination points become B1=<xb,yb,zb>, B2=<xb,yb,zb>, and B3=<xb,yb,zb>.

What is the formula for the transformation matrix and following that, the degree of rotation in each axis? Basically, I need a matrix that if applied to all points of the origin object, I get the displaced object.

This is the follow-up question from here: Minimum requirements to uniquely represent a 3D object in space

Assume I have 3 original points in a 3D object (in 3D space) as A1=<xa,ya,za>, A2=<xa,ya,za>, and A3=<xa,ya,za> (assume we have all the requirements mentioned in our previous question). The 3D object is moved and rotated in the 3D space, and the new destination points become B1=<xb,yb,zb>, B2=<xb,yb,zb>, and B3=<xb,yb,zb>.

What is the formula for the transformation matrix and following that, the degree of rotation in each axis? Basically, I need a matrix that if applied to all points of the origin object, I get the displaced object.

Source Link
angel_30
angel_30
  • 229
  • 1
  • 9

Rotation matrix for a 3D object in space

This is the follow-up question at here: Minimum requirements to uniquely represent a 3D object in space

Assume I have 3 original points in a 3D object (in 3D space) as A1=<xa,ya,za>, A2=<xa,ya,za>, and A3=<xa,ya,za> (assume we have all the requirements mentioned in our previous question). The 3D object is moved and rotated in the 3D space, and the new destination points become B1=<xb,yb,zb>, B2=<xb,yb,zb>, and B3=<xb,yb,zb>.

What is the formula for the transformation matrix and following that, the degree of rotation in each axis? Basically, I need a matrix that if applied to all points of the origin object, I get the displaced object.