Table 1.
Number of 3D Points and Outliers in the Results of Boundary Inheritance Codec, , GCI with Boundary Estimation, HOC, GCI, and
| Total Number of 3D Points | Number of Outliers | Percentage of Outliers (%) |
---|
Boundary Inheritance Codec | 240,678 | 214 | 0.089 |
| 227,057 | 361 | 0.159 |
GCI with boundary estimation | 263,580 | 938 | 0.356 |
HOC | 245,264 | 2233 | 0.910 |
GCI | 283,085 | 11,146 | 3.937 |
| 296,036 | 20,941 | 7.074 |
Table 2.
Errors of Reconstructed 3D Data of the Calibration Block’s Face at Distances of 0.7, 1, and 1.5 m Using HOC, HOC with Boundary Estimation, , , GCI, GCI with Boundary Estimation, and Boundary Inheritance Codec
| Number of Patterns (Except Two Reference Patterns) | At 70 cm | At 1 m | At 1.5 m |
---|
| Std of Error (mm) | Error Max (mm) | No. of Points | Std of Error (mm) | Error Max (mm) | No. of Points | Std of Error (mm) | Error Max (mm) | No. of Points |
---|
HOC | 16 | 0.524 | 5.019 | 34,779 | 0.903 | 5.594 | 24,431 | 1.669 | 7.003 | 11,655 |
HOC with boundary estimation | 16 | 0.185 | 2.873 | 35,323 | 0.370 | 4.059 | 24,705 | 1.278 | 5.262 | 11,702 |
| 11 | 0.205 | 1.315 | 35,127 | 0.321 | 1.914 | 24,831 | 0.764 | 4.444 | 11,758 |
| 13 | 0.187 | 1.699 | 35,203 | 0.280 | 2.282 | 24,963 | 0.756 | 7.462 | 11,646 |
GCI | 16 | 0.178 | 1.151 | 35,343 | 0.312 | 2.231 | 24,963 | 0.838 | 10.698 | 11,770 |
GCI with boundary estimation | 16 | 0.150 | 1.089 | 35,213 | 0.219 | 2.240 | 24,853 | 0.640 | 7.217 | 11,608 |
Boundary Inheritance Codec | 16 | 0.107 | 1.060 | 31,722 | 0.152 | 1.358 | 23,611 | 0.495 | 1.746 | 10,229 |
Table 3.
Three-Dimensional Measurement of the Staircase at Distance of 0.7 m Using HOC, HOC with Boundary Estimation, , , GCI, GCI with Boundary Estimation, and Boundary Inheritance Codec
| True Distance from Base-Plane (mm) |
---|
| First Stair | Second Stair | Third Stair | Fourth Stair |
---|
| 1.0 | 3.0 | 7.0 | 15.0 |
---|
| Estimated Mean Distance from Base-Plane and Error Compared with True Distance of Each Stair (mm) |
---|
| Dist. | Std. | Err. | Dist. | Std. | Err. | Dist. | Std. | Err. | Dist. | Std. | Err. |
---|
HOC | 0.999 | 0.122 | 0.001 | 2.967 | 0.143 | 0.033 | 6.807 | 0.209 | 0.193 | 14.654 | 0.133 | 0.346 |
HOC with boundary estimation | 0.999 | 0.120 | 0.001 | 2.968 | 0.140 | 0.032 | 6.815 | 0.206 | 0.185 | 14.679 | 0.127 | 0.321 |
| 1.005 | 0.071 | 0.005 | 2.966 | 0.074 | 0.034 | 6.820 | 0.083 | 0.180 | 14.641 | 0.077 | 0.359 |
| 0.978 | 0.069 | 0.022 | 2.912 | 0.064 | 0.088 | 6.773 | 0.073 | 0.227 | 14.555 | 0.080 | 0.445 |
GCI | 0.979 | 0.052 | 0.021 | 2.920 | 0.056 | 0.080 | 6.817 | 0.075 | 0.183 | 14.626 | 0.062 | 0.374 |
GCI with boundary estimation | 0.990 | 0.052 | 0.010 | 2.930 | 0.056 | 0.070 | 6.835 | 0.072 | 0.165 | 14.649 | 0.064 | 0.351 |
Boundary Inheritance Codec | 0.999 | 0.055 | 0.001 | 2.985 | 0.058 | 0.015 | 6.872 | 0.067 | 0.128 | 14.673 | 0.061 | 0.327 |
Table 4.
Three-Dimensional Measurement of the Staircase at Distance of 1 m Using HOC, HOC with Boundary Estimation, , , GCI, GCI with Boundary Estimation, and Boundary Inheritance Codec
| True Distance from Base-Plane (mm) |
---|
| First Stair | Second Stair | Third Stair | Fourth Stair |
---|
| 1.0 | 3.0 | 7.0 | 15.0 |
---|
| Estimated Mean Distance from Base-Plane and Error Compared with True Distance of Each Stair (mm) |
---|
| Dist. | Std. | Err. | Dist. | Std. | Err. | Dist. | Std. | Err. | Dist. | Std. | Err. |
---|
HOC | 1.188 | 0.270 | 0.188 | 3.298 | 0.319 | 0.298 | 7.689 | 0.462 | 0.689 | 15.982 | 0.328 | 0.982 |
HOC with boundary estimation | 1.151 | 0.240 | 0.151 | 3.207 | 0.308 | 0.207 | 7.638 | 0.404 | 0.638 | 15.975 | 0.329 | 0.975 |
| 1.134 | 0.107 | 0.134 | 3.324 | 0.111 | 0.324 | 7.657 | 0.134 | 0.657 | 16.191 | 0.138 | 1.191 |
| 1.012 | 0.094 | 0.012 | 3.220 | 0.108 | 0.220 | 7.304 | 0.148 | 0.304 | 15.609 | 0.105 | 0.609 |
GCI | 1.025 | 0.071 | 0.025 | 3.235 | 0.281 | 0.235 | 7.494 | 0.302 | 0.494 | 15.776 | 0.111 | 0.776 |
GCI with boundary estimation | 1.021 | 0.066 | 0.021 | 3.216 | 0.199 | 0.216 | 7.304 | 0.281 | 0.304 | 15.568 | 0.099 | 0.568 |
Boundary Inheritance Codec | 1.009 | 0.064 | 0.009 | 3.205 | 0.085 | 0.205 | 7.264 | 0.101 | 0.264 | 15.416 | 0.094 | 0.416 |
Table 5.
Three-Dimensional Measurement of the Staircase at Distance of 1.5 m Using HOC, HOC with Boundary Estimation, , , GCI, GCI with Boundary Estimation, and Boundary Inheritance Codec
| True Distance from Base-Plane (mm) |
---|
| First Stair | Second Stair | Third Stair | Fourth Stair |
---|
| 1.0 | 3.0 | 7.0 | 15.0 |
---|
| Estimated Mean Distance from Base-Plane and Error Compared with True Distance of Each Stair (mm) |
---|
| Dist. | Std. | Err. | Dist. | Std. | Err. | Dist. | Std. | Err. | Dist. | Std. | Err. |
---|
HOC | 1.267 | 0.397 | 0.267 | 3.763 | 0.389 | 0.763 | 8.451 | 0.623 | 1.451 | 17.583 | 0.440 | 2.583 |
HOC with boundary estimation | 1.245 | 0.393 | 0.245 | 3.668 | 0.384 | 0.668 | 8.388 | 0.530 | 1.388 | 17.128 | 0.441 | 2.128 |
| 1.234 | 0.264 | 0.234 | 3.599 | 0.270 | 0.599 | 8.206 | 0.325 | 1.206 | 17.272 | 0.338 | 2.272 |
| 0.837 | 0.259 | 0.163 | 2.779 | 0.267 | 0.221 | 7.556 | 0.388 | 0.556 | 15.673 | 0.298 | 0.673 |
GCI | 0.617 | 0.171 | 0.384 | 2.543 | 0.207 | 0.458 | 6.408 | 0.460 | 0.592 | 15.590 | 0.290 | 0.590 |
GCI with boundary estimation | 1.103 | 0.148 | 0.103 | 3.304 | 0.175 | 0.304 | 7.499 | 0.316 | 0.499 | 15.550 | 0.288 | 0.550 |
Boundary Inheritance Codec | 1.096 | 0.108 | 0.096 | 3.209 | 0.108 | 0.209 | 7.341 | 0.268 | 0.341 | 15.433 | 0.282 | 0.433 |
Table 6.
Errors of Reconstructed 3D Data of a NonTextured Flat Surface Captured by Projector–Camera System Using a Pico Projector (Optoma PK301) with Different Methods
| Standard Deviation of Error (mm) | Error Max (mm) | Number of Points |
---|
Boundary Inheritance Codec (without Section 3.B.2) | 0.162 | 1.411 | 113,013 |
Fully Boundary Inheritance Codec | 0.174 | 1.485 | 113,013 |
GCI with boundary estimation | 0.175 | 1.536 | 113,013 |
Table 7.
Errors of Reconstructed 3D Data of a NonTexture Flat Surface Captured by a Projector–Camera System Using a Canon DLP Projector (LDP-3260K) with Different Methods
| Standard Deviation of Error (mm) | Error Max (mm) | Number of Points |
---|
Boundary Inheritance Codec (without Section 3.B.2) | 0.066 | 0.586 | 66,304 |
Fully Boundary Inheritance Codec | 0.065 | 0.602 | 66,304 |
GCI with boundary estimation | 0.065 | 0.600 | 66,304 |