**PURPOSE**- Rotates a volume by the three Eulerian angles. The orientation of the rotation is the one that could be seen directly in the slices.

**WARNING**- This program gives slightly incorrect results, is very slow
and may use incorrect interpolation scheme. Use "RT 3D" instead!
It is kept since it can rotate some huge volumes which
"RT 3D" can not.

**SEE ALSO****RT 3D**[RoTate - volume, fast, tri-quadratic interpolation] **RT 3A**[RoTate - volume, arbitrary center, quadratic interpolation] **RT**[RoTate - image or volume, use average as background, bilinear interpolation] **RT 90**[RoTate - image or volume, by 90, 180, or 270 degrees] **RT B**[RoTate - image or volume, supply Background, bilinear interpolation] **RT C**[RoTate - image, around arbitrary center, bilinear interpolation] **RT M**[RoTate - image or volume, use minimum as background, bilinear interpolation] **RT SQ**[Rotate and Shift - image, Quadratic interpolation ||]

**USAGE**- .OPERATION: RT 3

- .INPUT1 FILE: PIC001

[Enter the name of the file to be rotated.].OUTPUT FILE: ROT001

[Enter the name of the file where the rotated volume is to be kept.].ALPHA, BETA: 10.5,13.7

[Enter the rotation angles alpha (around Z) and beta (around the new Y after the first rotation by alpha).].GAMMA: 45.8

[Enter the third rotation angle (around the new new z)].[PIC001 will then be rotated first by 10.5 degrees around Z, afterwords by 13.7 degrees around the new Y axes, and finally by 45.8 degrees around the resulting Z axis. The rotated volume will be placed in ROT001.]

.SHIFT IN X-Y: 10.2,6.1

[Enter the shift of the rotational center with respect to the center of the volume.].SHIFT IN Z: 10.7

[Enter shift in Z of the rotational center.].CHANGE OF DEFAULT MEAN VALUE? (Y/N):

[Enter 'N' if you want the mean density inside the volume to by placed in the borders generated by the rotation. Enter 'Y' otherwise.] - If 'Y' was specified before the program will ask:
- .VALUE OUTSIDE:3.5

[Enter the background value to be specified at the corners.]

**SUBROUTINES**- ROT32

**CALLER**- UTIL3

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