### Table 4. Samples of correctly recognized patterns. org is rotational angle from the standard pattern. is an angle estimated by the angle estimator.

"... In PAGE 9: ...see Fig. 4 for examples) and one thousands test patterns. The set of test patterns includes patterns which are generated by rotating standard patterns in ETL1 database by use of a computer. Examples of correctly recognized patterns is shown in Table4 . The value in col- umn org in Table 4 is an actual rotational difference between a pattern in the database and the rotated ones.... In PAGE 9: ... Examples of correctly recognized patterns is shown in Table 4. The value in col- umn org in Table4 is an actual rotational difference between a pattern in the database and the rotated ones. The difference of angles between columns is due to the resolution in orientation of the hybrid-neocognitron.... ..."

### 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 1: Actual Estimated Facial Pose Angle for a plaster bust.

1999

"... In PAGE 7: ... To compare the orientation estimates with ground truth we have used a sequence of images of the model-head in which the horizontal rotation is known. Table1 shows the estimated rotation angles for each of the images of a plaster bust. The main conclusion BMVC99 408... ..."

Cited by 5

### Table 4. Parameters to Estimate the Bond Angle Bending Force Constants in GAFF.

"... In PAGE 9: ...9ZiCjZkH20849rij eq H11001 rjk eqH20850H110021H20849H9258ijk eqH20850H110022expH20849H110022DH20850 (5) D H11005 H20849rij eq H11002 rjk eqH208502 H20849rij eq H11001 rjk eqH208502 (6) Here, Zi and Zk are empirical parameters for the first and the third atoms in a angle; Cj is empirical parameter for the second atom in a angle, rij eq and rjk eq are the equilibrium bond lengths, and H9258ijk eq is the equilibrium bond angle. Table4 lists the parameters of C and Z derived using 252 bond angle parameters in AMBER force fields. With this model, we have calculated bond angle force constants for 252 bond angles in the Amber protein force field.... ..."

### Table 1: Correlation between actual joint angle and joint angle estimate used for feedback during three-second forward simulation for crouch-to-erect restoration. Joint Angles:

### Table 2: Results di erentiated for the estimated and measured uncertainties in chromaticity polar angles using (49).

### Table 2. Confusion matrix for the Edwards trajectory with noise gure = 65 dB, using estimated orientation angles.

### Table 4- 7 Statistics of Misalignment Angles

in UCGE Reports

"... In PAGE 12: ... xii LIST OF TABLES Table4 -1 IMU Specifications of Simulation Data Set .... In PAGE 12: ...able 4-1 IMU Specifications of Simulation Data Set ..................................................... 56 Table4 -2 GPS Simulation Data Assumptions.... In PAGE 12: ...able 4-2 GPS Simulation Data Assumptions.................................................................. 57 Table4 - 3 Statistics of Position and Velocity Difference of C3NAVG2TM VS Reference Trajectory Using Simulated Data.... In PAGE 12: ...rajectory Using Simulated Data.............................................................................. 63 Table4 - 4 Statistics of Position and Velocity Error Using a Kalman Filter.... In PAGE 12: ...able 4- 4 Statistics of Position and Velocity Error Using a Kalman Filter..................... 66 Table4 - 5 Misalignment Angle of Kalman Filter Using Simulation Data.... In PAGE 12: ...able 4- 5 Misalignment Angle of Kalman Filter Using Simulation Data....................... 68 Table4 - 6 Statistics of Position and Velocity Estimation Errors .... In PAGE 73: ..., 2001). Table4 -1 IMU Specifications of Simulation Data Set Accelerometer Parameters Gyroscope Parameters Scale factor accuracy (ppm) 300 Scale factor accuracy (ppm) 150 Scale factor linearity (ppm) 500 Scale factor linearity (ppm) 150 Bias (milli-g) 1 Bias (deg/hr) 1 Non-orthogonality (ppm) 100 Non-orthogonality (ppm) 100 Velocity random walk (m/s/ hr ) 0.0198 Angular random walk (deg / hr ) 0.... In PAGE 74: ... Table4 -2 GPS Simulation Data Assumptions Troposphere Model Collins Phase III Ionosphere Model Extended Klobuchar Pseudorange Noise 1 m Doppler Noise 1 cm/s Multi Path Errors Not Applied Data Rate 1 Hz In Table 4-2, only the troposphere and the ionosphere errors were applied by the GPS/INS simulator. The pseudorange and Doppler noises were added by the author.... In PAGE 74: ... Table 4-2 GPS Simulation Data Assumptions Troposphere Model Collins Phase III Ionosphere Model Extended Klobuchar Pseudorange Noise 1 m Doppler Noise 1 cm/s Multi Path Errors Not Applied Data Rate 1 Hz In Table4 -2, only the troposphere and the ionosphere errors were applied by the GPS/INS simulator. The pseudorange and Doppler noises were added by the author.... In PAGE 75: ... From the IMU specifications showed in Table4 -1, it is clear that the IMU is a medium accuracy unit, so it satisfies the requirements of this research. 4.... In PAGE 79: ... The DGPS results from C3NAVG2TM were assessed through a comparison with the reference trajectory. The statistics of the position and velocity differences between C3NAVG2TM and the reference trajectory are shown in Table4... In PAGE 80: ... These discussions show that, during this simulated test run, the DGPS position and velocity solutions from the C3NAVG2TM have consistent accuracy so it can be used as position and velocity updates in the GPS/INS system. Comparing Table4 -3 with Table 5-3, which is a statistics of the position and velocity assessment of C3NAVG2TM results while using a field data, the accuracy of the simulation data results are marginally better than that of the field data. The reasons are: 1) there are no multipath errors in simulation data.... In PAGE 80: ... 2) The satellite availability and geometry in the simulated data is better than that of the field test. Table4 - 3 Statistics of Position and Velocity Difference of C3NAVG2TM VS Reference Trajectory Using Simulated Data Component Mean RMS Latitude (m) 0.00 0.... In PAGE 82: ...4 cm/s. Comparing Table4... In PAGE 83: ... This is expected and shows that the GPS updates have effectively limited the IMU navigation solution errors. According to the sensor errors given in Table4 -1, the accumulated position error of INS-only will reach a maximum value of 400 km in 6 hours. Another advantage of GPS/INS integration is that it can provide attitude information, which is usually not available for the off-shelf GPS receivers.... In PAGE 83: ... INS-only attitude information will be degraded due to sensor errors, initial misalignment and system noise. Using Kalman filtering with some attitude correction method suitable for medium to low accuracy IMU unit (Salychev, 2000), the misalignment angles can be limited to within a reasonable range, which is shown in Table4 -5. Table 4-5 shows that the horizontal misalignment angle is about 1 arc-minute.... In PAGE 83: ... Figure 4-12 gives a plot of the horizontal misalignment angles. Table4 - 4 Statistics of Position and Velocity Error Using a Kalman Filter The maximum horizontal misalignment angle is not greater than 2 arc-minutes, and the maximum azimuth misalignment is about 2 degrees. The horizontal accuracy is much better than the azimuth accuracy.... In PAGE 83: ... Since the horizontal accuracy is basically determined by the accuracy of the accelerometers. According to Table4 -1, the bias of the accelerometer is only about 1 mGal. This guaranteed the horizontal accuracy, while the azimuth accuracy is constrained by the initial azimuth alignment results.... In PAGE 85: ... Table4 - 5 Misalignment Angle of Kalman Filter Using Simulation Data Mean RMS Roll (arcmin.) -0.... In PAGE 90: ... Table4 - 6 Statistics of Position and Velocity Estimation Errors Figure 4-18 shows the horizontal misalignment angle, and Table 4-5 gives the statistics. Comparing Figures 4-18 with 4-14, it is clear that the estimation accuracy of the horizontal misalignment angle increased greatly.... In PAGE 90: ... Table 4- 6 Statistics of Position and Velocity Estimation Errors Figure 4-18 shows the horizontal misalignment angle, and Table4 -5 gives the statistics. Comparing Figures 4-18 with 4-14, it is clear that the estimation accuracy of the horizontal misalignment angle increased greatly.... ..."

### Table 3 RADIAL DIFFERENCES(m) FOR SHORT-ARC ESTIMATES

1993

"... In PAGE 14: ... Using this rnethc)d, shorter data arcs from all three solutions were compared at four epochs to the full combined solution. The radial differences and la uncertainties of the shorter data arcs, along with the 10 uncertainty of the combined solution, the Sun-spacecraft separation angle, and the epoch are shown in Table3 . In Table 3 there are three epochs on the approach to conjunction, and one afterward.... ..."

Cited by 1

### 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.... ..."