### Table 1 Estimated rotation angles between adjacent images. views rotation angle error views rotation angle error

"... In PAGE 10: ... The initial and final configurations of the image of the rotation axis and the horizon are shown in Fig. 6, and the estimated rotation angles between adjacent images and their errors are shown in Table1 . It can be seen from Table 1 that the errors in the rotation angles ranged from 0.... ..."

### Table 1 Estimation results of rotation angle

2005

"... In PAGE 5: ...4. Experimental result Estimation results of rotating angle are presented in Table1 . A watermarking method based on [4] is used on Lena image with the size of 512!512.... ..."

### Table 4. The rotation angles in hyperbolic co- ordinates

"... In PAGE 5: ... In [2], it was recommended that every 4th, 13th, (3k+1)th iteration should be repeated to complete the angle representation. Table4 shows the incomplete relationship of the angles i. Just as in the case for circular coordinate systems, a correlation between representation of d and the input angle can be obtained (see Fig.... ..."

### Table 1: Slopes and rotation angles for example 1.

### Table 2: Calculated rotation angles for example 2

### Table 3.1: Rotation angles of the planes

### Table 1: Rotation angles after registration process

### TABLE I OPTIMAL ROTATION ANGLES OF POPULAR CONSTELLATIONS

### Table 2: evaluation of rotation angle Data index estimated rotation angle difference

"... In PAGE 6: ...3 Results of Entire Model Acquisition To evaluate the accuracy of the estimated rotation angle and the voxel voting method, we scanned a simple-shaped ob- ject with several certain rotation angles. Table2 and Fig.10... In PAGE 7: ...89 093 are correctly converted to the object coordinate and the en- tire model is successfully created. Table2 also tells us that angle differences between 90 degrees and 134 degrees are larger then those of other degrees; we consider that quanti- zation errors of LED caused this tendency. Table 2: evaluation of rotation angle Data index estimated rotation angle difference... ..."

### Table 1 Estimated Rotation Angles, Residual Rotation Angles, and Residual Surface Matching Distance

"... In PAGE 7: ....0460.34 mm (training set) and 2.9860.40 mm (test set; Table1 ). The residual rotation angles between template and reoriented pilot scans according to the geometric transformation derived by the algorithm are shown in Ta- ble 1.... In PAGE 7: ... As an example of the quality of our algorithm, Fig. 2a shows MR images from one of the three volunteers with severely tilted head orientation (see also Table1 and Fig. 4, subject 3 of training set).... ..."