Recent content by TravelGirl

  1. T

    Definition of a line between two points on a sphere

    I am starting to feel really dum, but appreciate your help very much. Because by using constants, you get just one coordinate out of the parametric equation. So I must have understand your answer incorrectly. How do I determine the perpendicular direction in the plane of A B and the...
  2. T

    Definition of a line between two points on a sphere

    Yes, this should be something like: x=x0 +r*sin(theta)*cos(rho) y=y0 +r*sin(theta)*sin(rho) z=z0 +r*cos(theta) But this is just a general circle, how do I make one which goes through my two points? And describes the line between my two points and not the whole circle.
  3. T

    Definition of a line between two points on a sphere

    I am sorry that I made you confused. But I need to plot a line between these two points. So I need some sort of parametric equations: x= y= z= I know that the great circle distance formula can give me the length between these two points, measured along the surface. Can you maybe...
  4. T

    Definition of a line between two points on a sphere

    Yes, I do know the great circle equation. But this gives me only the length of the line between these two points. What equation/parameters do I use when I want to plot the line between these points? (sorry if I don;t understand it)
  5. T

    Construct a rotation matrix out of another rotation matrix

    Maybe I explained my problem incorrectly, I am sorry for that. Based on the rotations around point A, I received landmarks of the object I rotated and also got a rotation and translation matrix. Though, actually I should rotate around B, and correct the positions of my landmarks for this...
  6. T

    Definition of a line between two points on a sphere

    Thanks Tim for your welcoming words. I do have the Cartesian coordinates of the two points on a sphere. Only I do not want to define a circle, but a line between these two points alon the surface of the sphere. How do I do this?
  7. T

    Definition of a line between two points on a sphere

    I have two points on a sphere (x1,y1,z1) and (x2,y2,z2). Now I want to plot a straight line over the surface of the sphere between these point. The radius and the center of the sphere are also known. What should be the equation of this line?
  8. T

    Construct a rotation matrix out of another rotation matrix

    The following is my problem: I have a rotation and rotation matrix, based on rotations around coordinate A(x1,y1,z1). But actually, the rotation found place around coordinate B(x2,y2,z2). How can I adjust my rotation and translation matrix, so that it is adjusted for the rotations around...
  9. T

    Coordinate on sphere(vector calculus)

    I have a sphere, with center x0,y0,z0 and a radius r. Furthermore I have a point 1 outside the sphere x1,y1,z1. But now I want to calculate the coordinates of Point 2, which is on the surface of the sphere, and the CenterP2P1 is 90 degrees there. With these two points known points (Center...
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