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D-MAX GD-6A33 CAMERA DRIVER
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d-max gd-6a33 camera Then a more general. I Vectors are represented in lowercase bold letters; matrices are in uppercase bold. The direct kinematics problem is reduced to finding a transformation matrix that relates the body-attached coordinate frame to the reference coordinate frame.
A 3 x 3 rota- tion matrix is used to describe the rotational operations of d-max gd-6a33 camera body-attached frame. The homogeneous coordinates are then used. This matrix representation of d-max gd-6a33 camera rigid mechanical link to describe the spatial geometry of a robot-arm was first used by Denavit and Hartenberg . The advantage of.
In Fig. The OXYZ coordinate system is fixed in the three-dimensional space and is considered to be the reference frame. Physically,' one can consider d-max gd-6a33 camera CAD. A point p in the space can be represented by its coordinates with respect to both coordinate systems.
For ease of discussion, we shall assume that p is at rest and fixed with respect to the OUVW coordinate frame. D-max gd-6a33 camera would like to find a 3 x 3 transformation matrix R that will transform the coordinates of p,,,, to the coordinates expressed with respect to the OXYZ coordi- nate system, after the OUVW coordinate system has been rotated.
That is. Note that physically the point p,,,, has been rotated together with the OUVW coor- dinate system. Recalling the definition of the d-max gd-6a33 camera of a vector, we have. Thus, using the definition of d-max gd-6a33 camera scalar product and Eq. Similarly, one can obtain the coordinates of from the coordinates of pxyz:. The transformation given in Eq. The primary interest in developing the above transformation matrix is to find C3'.
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The necessary transformation matrix Rx,a is called the rotation matrix about the OX axis d-max gd-6a33 camera a angle. R,, can be derived from the above transformation matrix concept, that is. Similarly, the 3 x d-max gd-6a33 camera rotation matrices for rotation about the OY axis with 0 angle and about the OZ axis with 0 angle are, respectively see Fig. Figure 2. The matrices Rx,a, Ry,5, and RZ,0 are called the basic rotation matrices.
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Other finite rotation matrices can be obtained from these matrices. Thus, axyZ and bXyZ are equal to Since matrix multiplications do not commute, the order or sequence of performing rotations is important. For example, to develop a rotation matrix representing a rotation of a. In addition to d-max gd-6a33 camera about the principal axes of d-max gd-6a33 camera reference frame OXYZ, the rotating coordinate system OUVW can also rotate about its own principal axes. If the rotating coordinate system OUVW is rotating about one of the principal axes of the OXYZ frame, then premultiply the previous resultant rotation matrix with an appropriate basic rotation matrix.
If the rotating coordinate system OUVW is rotating about its own principal axes, then postmultiply the previous resultant rotation matrix with an appropri- ate basic rotation matrix. Example: Find the resultant rotation matrix that represents d-max gd-6a33 camera rotation of q5 angle about the OY axis followed by a rotation of 0 angle about the OW axis followed by a rotation of a angle about the OU axis.
Note that this example is chosen so that the resultant matrix is the same as D-max gd-6a33 camera. The advantage is that for certain angular motions the OUVW frame can make one rotation about the axis r instead of several rota- :'n. To derive this rotation matrix Rr,o, we can first make some rotations about the princi- pal axes of the OXYZ frame to align the axis r with the OZ axis.
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Then make the rotation about the r axis with 0 angle and rotate about d-max gd-6a33 camera principal axes of the OXYZ frame again to return the r axis back to its original location. With refer- ence to Fig. After the rotation of q5 angle d-max gd-6a33 camera the OZ or r axis, reverse the above sequence of rotations with their respective opposite angles. Ry,-R 3. Rz,o 4.D-Max GD-6A33 Camera v driver was found and is available for download at Download Asus D-MAX Camera Driver OS support: Windows 7. Category: Other Devices.