ISG 
 VIS 
    
 
 
 Glättung

 Results
 Contact

auf deutsch
 
Lehrstuhl für Visualisierung / Projekte / LiverSurgeryTrainer / Mesh Smoothing

Mesh Smoothing for Clinical Applications
 


Results

...

Tabelle 1: Laplace-Filterung des Leber-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.102 / 0.050 0.095 / 0.049 0.077 / 0.052 0.065 / 0.062 0.059 / 0.087 0.057 / 0.131
H 0.434 0.807 1.819 2.474 3.004 3.445
V 99.9% 99.8% 99.6% 99.4% 99.1% 98.9%
T 0.33s 0.29s 0.30s 0.28s 0.29s 0.29s
10 Km/d 0.096 / 0.050 0.085 / 0.050 0.061 / 0.048 0.052 / 0.051 0.048 / 0.054 0.046 / 0.057
H 0.796 1.371 2.699 3.599 4.295 4.903
V 99.9% 99.7% 99.2% 98.8% 98.3% 97.9%
T 0.53s 0.52s 0.52s 0.53s 0.51s 0.52s
20 Km/d 0.086 / 0.050 0.071 / 0.050 0.050 / 0.052 0.046 / 0.057 0.044 / 0.059 0.043 / 0.061
H 1.359 2.088 3.938 5.139 6.201 7.213
V 99.7% 99.5% 98.5% 97.7% 96.8% 96.0%
T 0.91s 0.97s 0.87s 0.88s 0.86s 0.90s
50 Km/d 0.066 / 0.048 0.053 / 0.050 0.044 / 0.060 0.043 / 0.062 0.043 / 0.065 0.043 / 0.067
H 2.372 3.562 6.442 8.766 10.733 12.466
V 99.3% 98.8% 96.6% 94.7% 92.3% 91.0%
T 2.03s 2.05s 2.05s 2.03s 2.02s 2.02s


Tabelle 2: Laplace-Filterung des Halsschlagader-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.428 / 0.135 0.432 / 0.145 0.425 / 0.143 0.423 / 0.147 0.420 / 0.148 0.420 / 0.154
H 0.334 0.533 0.864 1.174 1.500 1.796
V 107.4% 107.1% 105.9% 105.1% 104.3% 103.6%
T 0.03s 0.03s 0.02s 0.03s 0.02s 0.02s
10 Km/d 0.432 / 0.144 0.427 / 0.141 0.421 / 0.148 0.418 / 0.151 0.416 / 0.151 0.415 / 0.152
H 0.530 0.686 1.315 1.865 2.174 2.338
V 107.1% 106.5% 104.7% 103.4% 102.2% 101.2%
T 0.06s 0.05s 0.05s 0.05s 0.06s 0.05s
20 Km/d 0.429 / 0.141 0.423 / 0.144 0.417 / 0.151 0.415 / 0.152 0.413 / 0.149 0.415 / 0.151
H 0.684 1.002 2.019 2.367 2.815 3.368
V 106.5% 105.5% 102.8% 100.8% 99.1% 97.5%
T 0.09s 0.09s 0.08s 0.09s 0.09s 0.09s
50 Km/d 0.422 / 0.146 0.419 / 0.152 0.414 / 0.149 0.419 / 0.155 0.421 / 0.154 0.424 / 0.157
H 1.148 1.830 2.961 3.525 4.179 4.506
V 105.1% 103.4% 98.7% 95.3% 92.5% 90.1%
T 0.23s 0.22s 0.23s 0.24s 0.22s 0.22s


Tabelle 3: Laplace-Filterung Kopfwendermuskel-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.351 / 0.146 0.339 / 0.156 0.305 / 0.187 0.289 / 0.207 0.273 / 0.211 0.262 / 0.211
H 0.619 0.992 2.395 3.547 4.208 4.792
V 98.9% 97.8% 94.3% 91.3% 88.8% 86.5%
T 0.09s 0.06s 0.06s 0.08s 0.08s 0.09s
10 Km/d 0.340 / 0.156 0.320 / 0.171 0.282 / 0.208 0.258 / 0.208 - -
H 0.990 1.680 3.870 5.007
V 97.8% 96.0% 90.1% 85.6%
T 0.13s 0.12s 0.11s 0.12s
20 Km/d 0.321 / 0.171 0.297 / 0.196 - - - -
H 1.670 2.913
V 96.0% 92.8%
T 0.22s 0.22s
50 Km/d 0.291 / 0.204 0.262 / 0.211 - - - -
H 3.401 4.970
V 91.4% 85.7%
T 0.61s 0.60s


Tabelle 4: Laplace-Filterung mit HC-Modifikation des Leber-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.106 / 0.051 0.010 / 0.051 0.094 / 0.051 0.087 / 0.051 0.082 / 0.052 0.078 / 0.050
H 0.239 0.441 0.976 1.324 1.645 1.890
V 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
T 0.47s 0.55s 0.55s 0.47s 0.51s 0.55s
10 Km/d 0.103 / 0.050 0.098 / 0.050 0.085 / 0.051 0.077 / 0.050 0.071 / 0.048 0.067 / 0.048
H 0.434 0.737 1.456 1.938 2.243 2.45
V 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
T 0.89s 0.89s 0.90s 0.89s 0.88s 0.91s
20 Km/d 0.098 / 0.050 0.091 / 0.050 0.074 / 0.050 0.066 / 0.048 0.062 / 0.048 0.059 / 0.048
H 0.729 1.099 2.079 2.498 2.713 2.856
V 100.0% 100.0% 100.0% 100.0% 100.0% 99.9%
T 1.69s 1.62s 1.68s 1.69s 1.65s 1.61s
50 Km/d 0.088 / 0.051 0.077 / 0.050 0.061 / 0.049 0.055 / 0.049 0.052 / 0.051 0.051 / 0.053
H 1.265 1.897 2.732 3.059 3.203 3.263
V 100.0% 100.0% 100.0% 99.9% 99.9% 99.9%
T 3.93s 3.94s 3.93s 3.94s 3.91s 3.91s


Tabelle 5: Laplace-Filterung mit HC-Modifikation des Halsschlagader-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.428 / 0.135 0.432 / 0.145 0.425 / 0.143 0.423 / 0.147 0.420 / 0.148 0.420 / 0.154
H 0.334 0.533 0.864 1.174 1.500 1.796
V 107.4% 107.1% 105.9% 105.1% 104.3% 103.6%
T 0.03s 0.03s 0.02s 0.03s 0.02s 0.02s
10 Km/d 0.432 / 0.144 0.427 / 0.141 0.421 / 0.148 0.418 / 0.151 0.416 / 0.151 0.415 / 0.152
H 0.530 0.686 1.315 1.865 2.174 2.338
V 107.1% 106.5% 104.7% 103.4% 102.2% 101.2%
T 0.06s 0.05s 0.05s 0.05s 0.06s 0.05s
20 Km/d 0.429 / 0.141 0.423 / 0.144 0.417 / 0.151 0.415 / 0.152 0.413 / 0.149 0.415 / 0.151
H 0.684 1.002 2.019 2.367 2.815 3.368
V 106.5% 105.5% 102.8% 100.8% 99.1% 97.5%
T 0.09s 0.09s 0.08s 0.09s 0.09s 0.09s
50 Km/d 0.422 / 0.146 0.419 / 0.152 0.414 / 0.149 0.419 / 0.155 0.421 / 0.154 0.424 / 0.157
H 1.148 1.830 2.961 3.525 4.179 4.506
V 105.1% 103.4% 98.7% 95.3% 92.5% 90.1%
T 0.23s 0.22s 0.23s 0.24s 0.22s 0.22s


Tabelle 6: Laplace-Filterung mit HC-Modifikation des Kopfwendermuskel-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.360 / 0.142 0.355 / 0.146 0.339 / 0.160 0.328 / 0.172 0.319 / 0.178 0.312 / 0.182
H 0.308 0.548 1.122 1.503 1.772 1.980
V 99.8% 99.7% 99.2% 98.8% 98.5% 98.2%
T 0.18s 0.17s 0.20s 0.14s 0.14s 0.27s
10 Km/d 0.355 / 0.146 0.347 / 0.154 0.324 / 0.175 0.310 / 0.184 0.302 / 0.192 0.296 / 0.197
H 0.543 0.884 1.626 2.037 2.332 2.853
V 99.7% 99.4% 98.7% 98.1% 97.6% 97.2%
T 0.28s 0.33s 0.25s 0.23s 0.38s 0.37s
20 Km/d 0.347 / 0.154 0.334 / 0.164 0.306 / 0.188 0.294 / 0.199 0.282 / 0.201 0.274 / 0.203
H 0.879 1.302 2.181 3.043 3.797 4.340
V 99.4% 99.0% 97.8% 97.0% 96.4% 95.9%
T 0.48s 0.50s 0.47s 0.47s 0.80s 0.59s
50 Km/d 0.329 / 0.170 0.310 / 0.183 0.280 / 0.201 0.267 / 0.206 0.254 / 0.200 0.248 / 0.198
H 1.467 2.015 3.911 4.913 5.366 5.574
V 98.8% 98.1% 96.3% 95.2% 95.9% 93.8%
T 1.16s 1.12s 1.12s 1.09s 1.37s 1.23s


Tabelle 7: Laplace-Filterung mit Umbrella-Nachbarschaft 2. Ordnung und HC-Modifikation des Leber-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.099/0.049 0.092/0.049 0.072/0.049 0.062/0.048 0.057/0.048 0.054/0.048
H 0.483 0.898 2.112 2.763 3.050 3.127
V 100.0% 100.0% 100.0% 99.9% 99.9% 99.9%
T 21.88s 22.76s 26.05s 25.78s 22.48s 22.03s
10 Km/d 0.092/0.049 0.081/0.050 0.060/0.047 0.053/0.049 0.050/0.051 0.049/0.052
H 0.886 1.552 2.844 3.116 3.281 3.340
V 100.0% 100.0% 99.9% 99.9% 99.9% 99.9%
T 43.83s 47.5s 51.57s 50.69s 46.97s 44.24s
20 Km/d 0.048/0.053 0.068/0.048 0.052/0.049 0.048/0.053 0.047/0.055 0.045/0.057
H 3.343 2.365 3.186 3.343 3.504 3.885
V 99.9% 100.0% 99.9% 99.9% 99.8% 99.8%
T 97.16s 96.48s 98.57s 99.38s 97.91s 95.24s
50 Km/d 0.064/0.047 0.054/0.049 0.046/0.055 0.045/0.058 0.044/0.059 0.043/0.060
H 2.591 3.054 3.590 4.397 4.971 5.428
V 99.9% 99.9% 99.9% 99.8% 99.7% 99.6%
T 221.83s 221.84s 222.08s 227.22s 228.20s 224.14s


Tabelle 8: Laplace-Filterung mit Umbrella-Nachbarschaft 2. Ordnung und HC-Modifikation des Halsschlagader-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.423/0.143 0.414/0.140 0.407/0.141 0.411/0.146 0.416/0.152 0.417/0.152
H 0.635 0.988 2.011 3.179 3.438 3.905
V 98.6% 97.4% 93.7% 90.9% 88.6% 86.7%
T 1.27s 1.27s 1.27s 1.27s 1.26s 1.25s
10 Km/d 0.416/0.143 0.410/0.144 0.414/0.150 0.420/0.156 - -
H 0.975 1.542 3.329 4.000
V 97.4% 95.4% 89.8% 85.9%
T 2.55s 2.52s 2.50s 2.50s
20 Km/d 0.411/0.146 0.409/0.145 - - - -
H 1.526 2.546
V 95.4% 92.3%
T 5.06s 5.01s
50 Km/d 0.410/0.146 0.419/0.154 - - - -
H 3.068 3.971
V 91.0% 86.0%
T 12.69s 13.20s


Tabelle 9: Laplace-Filterung mit Umbrella-Nachbarschaft 2. Ordnung und HC-Modifikation des Kopfwendermuskel-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.347/0.148 0.333/0.159 0.297/0.188 0.280/0.200 0.267/0.200 0.259/0.202
H 0.629 1.152 2.462 3.576 4.364 4.902
V 99.3% 98.8% 97.2% 96.1% 95.3% 94.6%
T 6.48s 6.67s 6.90s 6.43s 6.51s 6.63s
10 Km/d 0.333/0.159 0.311/0.176 0.274/0.199 0.256/0.201 0.247/0.196 0.242/0.195
H 1.138 1.766 3.876 4.926 5.410 5.619
V 98.8% 97.9% 95.7% 94.4% 93.4% 92.7%
T 13.25s 12.80s 13.70s 12.55s 12.75s 12.67s
20 Km/d 0.312/0.176 0.290/0.196 0.249/0.195 0.240/0.193 0.241/0.200 0.241/0.202
H 1.748 2.947 5.135 5.627 5.728 5.972
V 97.9% 96.7% 93.9% 92.4% 91.2% 90.2%
T 25.67s 25.87s 26.01s 25.10s 25.61s 25.55s
50 Km/d 0.286/0.204 0.261/0.206 0.242/0.200 0.242/0.205 0.239/0.204 0.240/0.210
H 3.390 4.797 5.727 6.997 7.622 8.666
V 96.2% 94.4% 91.0% 88.9% 87.2% 85.8%
T 65.70s 65.59s 68.91s 70.29s 69.25s 67.83s


Tabelle 10: Lowpass-Filterung des Leber-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.109 / 0.051 0.111 / 0.051 0.105 / 0.051 0.095 / 0.051 0.085 / 0.051 0.077 / 0.050
H 0.009 0.123 0.364 0.921 1.457 1.963
V 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
T 0.50s 0.52s 0.51s 0.52s 0.50s 0.52s
10 Km/d 0.109 / 0.051 0.113 / 0.052 0.101 / 0.509 0.087 / 0.051 0.075 / 0.050 0.067 / 0.048
H 0.017 0.250 0.595 1.363 2.052 2.492
V 100.0% 100.0% 100.0% 100.0% 100.0% 100.0%
T 0.93s 0.95s 0.93s 0.92s 0.94s 0.95s
20 Km/d 0.109 / 0.051 0.117 / 0.052 0.096 / 0.051 0.077 / 0.050 0.065 / 0.048 0.058 / 0.047
H 0.034 0.513 0.877 1.952 2.554 2.914
V 100.0% 100.1% 100.1% 100.1% 100.1% 100.0%
T 1.78s 1.79s 1.79s 1.79s 1.79s 1.79s
50 Km/d 0.110 / 0.051 0.130 / 0.055 0.087 / 0.052 0.065 / 0.047 0.056 / 0.050 0.051 / 0.053
H 0.085 1.392 1.465 2.576 3.124 3.282
V 100.0% 100.0% 100.2% 100.2% 100.1% 100.1%
T 4.39s 4.33s 4.34s 4.32s 4.34s 4.36s


Tabelle 11: Lowpass-Filterung des Halsschlagader-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.436 / 0.141 0.438 / 0.139 0.432 / 0.141 0.425 / 0.141 0.422 / 0.148 0.419 / 0.153
H 0.015 0.189 0.408 0.811 1.291 1.876
V 107.8% 108.6% 107.8% 106.6% 105.5% 104.0%
T 0.03s 0.04s 0.03s 0.04s 0.03s 0.03s
10 Km/d 0.437 / 0.141 0.439 / 0.136 0.429 / 0.142 0.421 / 0.147 0.415 / 0.149 0.413 / 0.151
H 0.029 0.383 0.549 1.209 1.977 2.347
V 107.9% 109.9% 108.3% 106.4% 104.3% 102.3%
T 0.06s 0.05s 0.05s 0.05s 0.05s 0.06s
20 Km/d 0.437 / 0.141 0.446 / 0.133 0.426 / 0.143 0.417 / 0.154 0.413 / 0.154 0.412 / 0.150
H 0.059 0.786 0.801 1.874 2.383 3.344
V 108.1% 112.2% 109.3% 106.1% 102.9% 99.5%
T 0.12s 0.12s 0.11s 0.11s 0.11s 0.11s
50 Km/d 0.437 / 0.141 0.474 / 0.128 0.419 / 0.147 0.408 / 0.152 0.410 / 0.151 0.417 / 0.158
H 0.146 2.126 1.303 2.381 3.465 4.464
V 108.7% 119.8% 112.5% 106.2% 100.3% 94.6%
T 0.25s 0.24s 0.25s 0.25s 0.23s 0.23s


Tabelle 12: Lowpass-Filterung des Kopfwendermuskel-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.366 / 0.139 0.369 / 0.136 0.359 / 0.145 0.342 / 0.159 0.325 / 0.174 0.311 / 0.184
H 0.019 0.195 0.473 1.070 1.611 2.059
V 100.0% 100.4% 100.1% 99.5% 99.0% 98.4%
T 0.17s 0.16s 0.15s 0.13s 0.16s 0.14s
10 Km/d 0.367 / 0.139 0.374 / 0.135 0.354 / 0.151 0.328 / 0.172 0.308 / 0.186 0.296 / 0.199
H 0.039 0.393 0.745 1.539 2.136 2.984
V 100.1% 100.8% 100.2% 99.3% 99.3% 97.6%
T 0.29s 0.25s 0.28s 0.25s 0.27s 0.28s
20 Km/d 0.368 / 0.139 0.386 / 0.132 0.344 / 0.158 0.304 / 0.197 0.292 / 0.199 0.274 / 0.202
H 0.079 0.803 1.073 2.049 3.255 4.465
V 100.1% 101.7% 100.5% 99.1% 97.8% 96.7%
T 0.50s 0.50s 0.48s 0.48s 0.48s 0.50s
50 Km/d 0.370 / 0.138 0.426 / 0.124 0.330 / 0.172 0.291 / 0.200 0.266 / 0.205 0.249 / 0.198
H 0.196 2.141 1.645 3.463 5.058 5.606
V 100.3% 104.8% 101.6% 99.1% 97.2% 95.7%
T 1.17s 1.16s 1.17s 1.17s 1.16s 1.16s


Tabelle 13: Lowpass-Filterung mit Umbrella-Umgebung 2. Ordnung des Leber-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.109/0.051 0.111/0.051 0.093/0.049 0.073/0.049 0.059/0.047 0.053/0.048
H 0.014 0.197 0.257 2.085 2.934 3.197
V 100.0% 100.1% 100.1% 100.0% 100.0% 100.0%
T 22.61s 22.57s 22.45s 23.03s 22.53s 22.03s
10 Km/d 0.108/0.051 0.114/0.052 0.0833/0.049 0.061/0.046 0.052/0.049 0.048/0.053
H 0.027 0.399 1.429 2.806 3.122 3.355
V 100.0% 100.1% 100.1% 100.1% 100.0% 100.0%
T 44.57s 46.00s 45.25s 45.61s 43.78s 45.59s
20 Km/d 0.109/0.051 0.119/0.053 0.071/0.049 0.053/0.048 0.048/0.053 0.046/0.056
H 0.054 0.822 2.208 3.175 3.363 3.804
V 100.0% 100.3% 100.2% 100.2% 100.1% 100.0%
T 90.48s 90.27s 89.34s 89.87s 90.73s 91.64s
50 Km/d 0.108/0.051 0.135/0.055 0.059/0.048 0.047/0.053 0.045/0.058 0.044/0.059
H 0.136 2.253 2.965 3.353 4.144 5.187
V 100.1% 100.7% 100.6% 100.4% 100.3% 100.2%
T 221.85s 220.73s 223.05s 226.34s 227.59s 220.95s


Tabelle 14: Lowpass-Filterung mit Umbrella-Umgebung 2. Ordnung des Halsschlagader-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.436/0.141 0.437/0.137 0.415/0.142 0.407/0.144 0.412/0.149 0.418/0.155
H 0.022 0.335 0.916 1.963 3.312 4.000
V 100.2% 102.3% 99.3% 95.4% 91.3% 87.1%
T 1.18s 1.18s 1.18s 1.18s 1.18s 1.19s
10 Km/d 0.435/0.141 0.438/0.132 0.408/0.143 0.408/0.145 0.417/0.156 -
H 0.043 0.680 1.415 3.244 4.141
V 99.2% 100.3% 104.7% 93.0% 86.9%
T 2.37s 2.36s 2.36s 2.34s 2.37s
20 Km/d 0.435/0.141 0.443/0.127 0.040/0.144 0.414/0.157 - -
H 0.086 1.404 2.001 4.010
V 100.7% 109.7% 99.5% 89.9%
T 4.73s 4.62s 4.81s 4.64s
50 Km/d 0.433/0.141 - 0.396/0.148

-

- -
H 0.216 3.177
V 101.7% 102.2%
T 11.59s 11.94s


Tabelle 15: Lowpass-Filterung mit Umbrella-Umgebung 2. Ordnung des Kopfwendermuskel-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.366/0.139 0.371/0.136 0.336/0.158 0.297/0.186 0.273/0.199 0.258/0.202
H 0.038 0.375 1.092 2.379 3.976 5.093
V 100.1% 101.0% 99.6% 97.9% 96.3% 94.9%
T 6.23s 6.16s 6.32s 6.06s 6.03s 6.14s
10 Km/d 0.366/0.139 0.377/0.134 0.316/0.171 0.275/0.196 0.249/0.194 0.242/0.195
H 0.077 0.759 1.671 3.780 5.197 5.669
V 100.1% 102.0% 99.5% 97.0% 95.0% 93.4%
T 11.79s 12.02s 11.98s 11.97s 11.91s 11.72s
20 Km/d 0.366/0.139 0.391/0.131 0.295/0.187 0.255/0.200 0.242/0.197 0.239/0.200
H 0.154 1.557 2.563 5.071 5.693 6.103
V 100.3% 104.1% 99.6% 96.3% 93.8% 91.7%
T 23.91s 24.05 23.83s 23.83s 23.69s 24.07s
50 Km/d 0.367/0.141 0.437/0.126 0.268/0.195 0.242/0.198 0.239/0.202 0.239/0.207
H 0.381 4.076 4.437 5.719 6.900 8.541
V 100.7% 111.5% 101.0% 96.2% 92.6% 89.3%
T 61.01s 60.27s 59.58s 60.27s 60.53s 61.36s


Tabelle 16: Laplace-Filterung des Gefäßbaum-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.397/0.183 0.412/0.198 - - - -
H 0.666 1.255
V 94.7% 90.1%
T 0.15s 0.18s
10 Km/d 0.412/0.197 - - - - -
H 1.239
V 90.2%
T 0.41s
20 Km/d - - - - - -
H
V
T
50 Km/d - - - - - -
H
V
T


Tabelle 17: Laplace-Filterung mit HC-Modifikation des Gefäßbaum-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.386/0.175 0.389/0.179 0.404/0.198 0.408/0.208 0.408/0.212 0.407/0.215
H 0.328 0.612 1.489 2.206 2.819 3.342
V 98.7% 97.5% 93.6% 90.6% 88.3% 86.3%
T 0.56s 0.33s 0.34s 0.34s 0.34s 0.31s
10 Km/d 0.389/0.179 0.399/0.191 0.409/0.211 0.407/0.215 - -
H 0.604 1.053 2.471 3.439
V 97.5% 95.4% 89.5% 85.6%
T 0.67s 0.66s 0.67s 0.61s
20 Km/d 0.398/0.182 0.409/0.206 - - - -
H 1.502 1.812
V 94.5% 92.1%
T 1.16s 1.14s
50 Km/d 0.409/0.208 0.408/0.216 - - - -
H 2.132 3.361
V 90.8% 88.8%
T 2.72s 2.55s


Tabelle 18: Laplace-Filterung mit Umbrella-Umgebung 2. Ordnung und HC-Modifikation des Gefäßbaum-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.396/0.185 0.409/0.202

-

- - -
H 0.963 1.779
V 95.1% 91.2%
T 15.54s 15.80s
10 Km/d 0.409/0.201 0.412/0.223 - - - -
H 1.749 2.951
V 91.3% 85.4%
T 31.88s 30.46s
20 Km/d 0.419/0.219 - - - - -
H 2.912
V 85.5%
T 65.62s
50 Km/d

-

- - - - -
H
V
T


Tabelle 19: Lowpass-Filterung des Gefäßbaum-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.381/0.170 0.378/0.169 0.386/0.177 0.401/0.196 0.406/0.209 0.404/0.214
H 0.015 0.187 0.492 3.573 2.464 3.582
V 100.1% 101.9% 99.1% 94.9% 90.5% 86.4
T 0.33s 0.32s 0.34s 0.32s 0.32s 0.32s
10 Km/d 0.381/0.170 0.383/0.181 0.391/0.185 0.405/0.208 0.40/0.218 -
H 0.029 0.378 0.864 2.321 3.728
V 100.3% 103.9 98.5 91.9% 85.9
T 0.64s 0.64s 0.66s 0.61s 0.63s
20 Km/d 0.380/0.170 0.374/0.172 0.396/0.195 0.402/0.214 - -
H 0.059 0.781 1.459 1.411
V 100.5% 108.1% 97.7% 88.1%
T 1.18s 1.14s 1.17s 1.17s
50 Km/d 0.379/0.169 0.338/0.133 0.391/0.205 - - -
H 0.148 2.146 2.697
V 101.4% 123.5% 97.6%
T 2.74s 2.72s 2.76s


Tabelle 20: Lowpass-Filterung mit Umbrella-Umgebung 2. Ordnung des Gefäßbaum-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.381/0.171 0.375/0.166 0.404/0.199 - - -
H 0.032 0.349 1.704
V 100.2% 103.6% 93.8%
T 14.48s 13.89s 14.37s
10 Km/d 0.381/0.171 0.379/0.179 0.411/0.216 - - -
H 0.064 0.709 2.851
V 100.3% 107.4% 89.9%
T 28.76s 28.27s 28.68s
20 Km/d 0.381/0.171 0.366/0.172 0.401/0.222 - - -
H 0.127 1.458 3.718
V 100.7% 115.9% 85.5%
T 56.01s 55.23s 56.62s
50 Km/d 0.379/0.171 0.325/0.135 - - - -
H 0.312 3.977
V 101.6% 149.0%
T 138.7s 137.44s


Tabelle 21: Laplace-Filterung des Lymphknoten-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.652/0.234 0.648/0.234 0.607/0.227 0.559/0.221 0.531/0.223 0.508/0.221
H 0.106 0.191 0.419 0.538 0.622 0.685
V 99.2% 98.5% 96.0% 93.7% 91.6% 89.7%
T 0.02s 0.03s 0.02s 0.03s 0.03s 0.02s
10 Km/d 0.648/0.234 0.603/0.231 0.544/0.221 0.498/0.217 0.468/0.205

-

H 0.190 0.328 0.580 0.705 0.830
V 98.5% 97.3% 92.6% 88.8% 85.2%
T 0.05s 0.05s 0.05s 0.04s 0.05s
20 Km/d 0.630/0.231 0.580/0.222 0.483/0.210 - - -
H 0.326 0.477 0.758
V 97.3% 94.7% 87.1%
T 0.08s 0.08s 0.08s
50 Km/d 0.562/0.222 0.499/0.216 - - - -
H 0.532 0.706
V 93.7% 88.8%
T 0.21s 0.20s


Tabelle 22: Laplace-Filterung mit HC-Modifikation des Lymphknoten-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.655/0.231 0.657/0.231 0.658/0.227 0.654/0.223 0.652/0.222 0.668/0.213
H 0.024 0.479 0.131 0.187 0.241 0.282
V 100.0% 99.8% 99.6% 99.4% 99.2% 99.2%
T 0.04s 0.04s 0.03s 0.04s 0.04s 0.03s
10 Km/d 0.657/0.231 0.656/0.228 0.652/0.222 0.646/0.221 0.634/0.219 0.618/0.215
H 0.048 0.092 0.214 0.297 0.356 0.422
V 99.8% 99.8% 99.4% 98.9% 98.9% 98.5%
T 0.06s 0.07s 0.06s 0.06s 0.06s 0.06s
20 Km/d 0.656/0.228 0.657/0.226 0.639/0.220 0.612/0.215 0.588/0.216 0.572/0.219
H 0.093 0.161 0.320 0.446 0.533 0.611
V 99.8% 99.8% 99.8% 99.8% 99.8% 99.8%
T 0.13s 0.11s 0.11s 0.13s 0.13s 0.11s
50 Km/d 0.655/0.224 0.646/0.221 0.584/0.216 0.553/0.222 0.533/0.226 0.520/0.229
H 0.187 0.296 0.550 0.678 0.667 0.657
V 99.8% 99.8% 99.8% 99.8% 99.8% 96.8%
T 0.28s 0.29s 0.29s 0.28s 0.29s 0.28s


Tabelle 23: Laplace-Filterung mit Umbrella-Umgebung 2. Ordnung und HC-Modifikation des Lymphknoten-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.654/0.232 0.652/0.228 0.623/0.216 0.589/0.214 0.565/0.217 0.549/0.221
H 0.129 0.202 0.381 0.529 0.641 0.686
V 99.8% 99.4% 98.5% 98.1% 97.7% 97.3%
T 2.08s 2.03s 2.02s 2.00s 2.02s 2.27s
10 Km/d 0.651/0.228 0.641/0.222 0.578/0.215 0.541/0.220 0.518/0.224 0.501/0.224
H 0.201 0.303 0.575 0.680 0.662 0.652
V 99.4% 98.9% 97.9% 97.3% 96.6% 96.2%
T 4.22s 4.08s 4.03s 4.00s 4.00s 4.58s
20 Km/d 0.641/0.223 0.607/0.215 0.531/0.223 0.493/0.222 0.472/0.220 0.438/0.205
H 0.302 0.452 0.671 0.668 0.776 0.914
V 98.9% 98.3% 97.0% 96.2% 95.4% 93.7%
T 8.20s 8.15s 8.05s 8.13s 7.95s 8.91
50 Km/d 0.591/0.213 0.542/0.220 0.467/0.218 0.448/0.203 0.424/0.196 0.412/0.188
H 0.513 0.679 0.788 0.899 0.939 0.981
V 98.1% 97.3% 95.4% 94.1% 93.0% 92.0%
T 20.70s 20.59s 20.03s 19.98s 19.86s 21.78s


Tabelle 24: Lowpass-Filterung des Lymphknoten-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.658/0.234 0.659/0.234 0.658/0.229 0.660/0.226 0.652/0.220 0.649/0.221
H 0.003 0.039 0.033 0.113 0.021 0.148
V 100.0% 100.2% 100.2% 100.0% 99.6% 99.4%
T 0.04s 0.05s 0.04s 0.05s 0.05s 0.05s
10 Km/d 0.659/0.234 0.662/0.234 0.661/0.227 0.657/0.221 0.646/0.219 0.618/0.214
H 0.006 0.079 0.066 0.203 0.327 0.444
V 100.0% 100.6% 100.2% 99.8% 99.4% 98.7%
T 0.09s 0.08s 0.09s 0.08s 0.08s 0.08s
20 Km/d 0.659/0.234 0.661/0.231 0.664/0.222 0.649/0.218 0.613/0.214 0.575/0.219
H 0.012 0.164 0.127 0.325 0.484 0.639
V 100.2% 101.3% 100.6% 100.0% 99.2% 98.7%
T 0.17s 0.18s 0.17s 0.17s 0.17s 0.17s
50 Km/d 0.662/0.234 0.679/0.228 0.669/0.215 0.633/0.206 0.558/0.221 0.525/0.229
H 0.031 0.442 0.273 0.526 0.722 0.694
V 100.2% 103.2% 101.7% 100.4% 99.4% 98.5%
T 0.41s 0.42s 0.41s 0.42s 0.41s 0.41s


Tabelle 25: Lowpass-Filterung mit Umbrella-Umbgebung 2. Ordnung des Lymphknoten-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.658/0.234 0.662/0.233 0.657/0.227 0.631/0.216 0.582/0.215 0.543/0.221
H 0.004 0.066 0.170 0.380 0.591 0.399
V 100.0% 100.6% 100.0% 99.2% 98.3% 97.7%
T 2.05s 2.04s 2.03s 2.06s 2.03s 2.05s
10 Km/d 0.659/0.234 0.665/0.232 0.653/0.221 0.588/0.213 0.534/0.222 0.497/0.225
H 0.008 0.135 0.275 0.575 0.696 0.682
V 100.2% 101.5% 100.2% 98.9% 97.9% 97.0%
T 4.07s 4.06s 4.04s 4.05s 4.06s 4.11s
20 Km/d 0.660/0.234 0.668/0.226 0.636/0.213 0.544/0.222 0.487/0.222 0.457/0.217
H 0.016 0.279 0.435 0.722 0.738 0.874
V 100.2% 103.0% 100.8% 99.2% 97.7% 96.4%
T 8.10s 8.12s 8.10s 8.09s 8.18s 8.12s
50 Km/d 0.660/0.232 0.704/0.223 0.589/0.215 0.489/0.216 0.441/0.209 0.410/0.188
H 0.042 0.782 0.749 0.821 0.988 1.051
V 100.6% 108.0% 103.0% 100.2% 98.1% 95.8%
T 20.36s 20.40s 20.29s 20.51s 20.45s 20.28s


Tabelle 26: Laplace-Filterung des Beckenknochen-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.171/0.105 0.170/0.110 0.174/0.140 0.170/0.148 0.167/0.149 0.163/0.148
H 1.763 3.290 6.317 8.828 10.627 11.718
V 99.8% 99.5% 98.3% 97.0% 95.8% 94.7%
T 0.48s 0.49s 0.42s 0.51s 0.48s 0.50s
10 Km/d 0.170/0.110 0.172/0.128 0.169/0.148 0.164/0.148 0.160/0.145 0.161/0.149
H 3.243 4.777 9.681 12.109 13.365 14.699
V 99.5% 98.9% 96.5% 94.2% 92.3% 90.5%
T 0.71s 0.71s 0.70s 0.71s 0.71s 0.72s
20 Km/d 0.172/0.128 0.173/0.145 0.164/0.149 0.151/0.222 0.169/0.163

-

H 4.756 7.446 12.628 15.252 17.533
V 98.9% 97.7% 93.3% 89.7% 86.8%
T 1.27s 1.28s 1.29s 1.28s 1.28s
50 Km/d 0.172/0.148 0.166/0.150 0.171/0.165 - - -
H 8.529 11.997 17.980
V 97.1% 94.3% 86.2%
T 3.04s 3.03s 3.03s


Tabelle 27: Laplace-Filterung mit HC-Modifikation des Beckenknochen-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.171/0.099 0.170/0.102 0.172/0.117 0.172/0.125 0.1725/0.134 0.171/0.137
H 1.177 2.131 3.683 4.436 4.916 5.596
V 100.0% 100.1% 100.1% 100.1% 100.1% 100.1%
T 0.72s 0.77s 0.81s 0.75s 0.87s 0.94s
10 Km/d 0.170/0.102 0.171/0.109 0.171/0.128 0.163/0.140 0.168/0.138 0.166/0.138
H 2.091 3.190 4.610 9.329 6.529 7.387
V 100.1% 100.1% 100.0% 99.7% 99.5% 99.3%
T 1.45s 1.45s 1.48s 1.36s 1.44s 1.48s
20 Km/d 0.170/0.109 0.172/0.121 0.169/0.137 0.166/0.141 0.163/0.141 0.162/0.142
H 3.189 3.980 6.100 7.775 9.219 9.642
V 100.1% 100.1% 100.0% 99.7% 99.5% 99.3%
T 2.67s 2.63s 2.70s 2.58s 2.61s 2.53s
50 Km/d 0.172/0.124 0.171/0.138 0.163/0.140 0.162/0.141 0.157/0.141 0.154/0.138
H 4.268 5.617 9.311 10.109 10.553 10.731
V 100.1% 100.0% 99.5% 99.0% 98.6% 98.3%
T 6.31s 6.25s 6.16s 6.20s 6.14s 6.37s


Tabelle 28: Laplace-Filterung mit Umbrella-Umgebung 2. Ordnung und HC-Modifikation des Beckenknochen-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.168/0.100 0.167/0.108 0.166/0.133 0.162/0.137 0.159/0.138 0.155/0.137
H 2.047 3.781 6.679 9.344 9.970 10.353
V 100.0% 100.0% 99.8% 99.8% 99.3% 99.0%
T 35.56s 38.75s 39.40s 38.01s 37.40s 36.75s
10 Km/d 0.167/0.108 0.168/0.125 0.162/0.140 0.157/0.140 0.150/0.130 0.153/0.138
H 3.717 4.973 9.558 10.352 10.751 11.152
V 100.0% 100.0% 99.4% 98.9% 98.5% 98.0%
T 71.05s 79.81s 80.03s 76.91s 79.28s 77.06s
20 Km/d 0.168/0.125 0.164/0.133 0.156/0.139 0.151/0.136 0.154/0.143 0.155/0.148
H 4.923 7.961 10.497 11.294 11.914 12.514
V 100.0% 99.7% 98.7% 97.8% 96.9% 96.1%
T 142.17s 143.22s 149.47s 150.02s 140.31s 146.40s
50 Km/d 0.164/0.137 0.158/0.139 0.154/0.144 0.161/0.154 0.162/0.157 0.166/0.163
H 9.121 10.245 12.051 13.168 14.633 15.710
V 99.6% 98.9% 96.7% 94.8% 93.2% 91.8%
T 352.79s 360.91s 371.30s 359.61s 361.59s 365.48s


Tabelle 29: Lowpass-Filterung des Beckenknochen-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.172/0.102 0.172/0.099 0.171/0.100 0.171/0.115 0.172/0.128 0.171/0.137
H 0.032 0.437 1.935 3.582 4.578 5.798
V 100.0% 100.1% 100.2% 100.3% 100.3% 100.2%
T 0.85s 0.97s 0.89s 0.84s 0.87s 0.79s
10 Km/d 0.172/0.103 0.0172/0.096 0.171/0.105 0.171/0.125 0.170/0.137 0.166/0.139
H 0.064 0.888 3.059 4.388 5.969 10.823
V 100.0% 100.2% 100.4% 100.4% 100.2% 100.0%
T 1.59s 1.47s 1.65s 1.52s 1.56s 1.59s
20 Km/d 0.172/0.103 0.173/0.090 0.172/0.117 0.170/0.136 0.165/0.140 0.163/0.142
H 0.128 1.832 3.500 5.640 8.227 n/a
V 100.1% 100.4% 100.7% 100.5% 100.1% 99.7%
T 3.01s 2.70s 2.95s 2.93s 3.03s 2.92s
50 Km/d 0.173/0.102 0.176/0.076 0.172/0.128 0.167/0.140 0.160/0.143 0.156/0.138
H 0.316 5.039 4.555 8.666 10.267 n/a
V 100.1% 100.9% 101.4% 100.7% 100.0% 99.3%
T 7.10s 6.56s 7.23s 7.26s 7.06s 7.12s


Tabelle 30: Lowpass-Filterung mit Umbrella-Umgebung 2. Ordnung des Beckenknochen-Modells bei unterschiedlicher Iterationsanzahl und Glättungswichtung pro Iteration.

Messwerte

Wichtung

0.05 0.1 0.3 0.5 0.7 0.9

I
t
e
r
a
t
i
o
n
e
n

5 Km/d 0.172/0.103 1.173/0.100 0.167/0.106 0.166/0.132 0.161/0.138 0.155/0.137
H 0.049 0.807 3.620 6.538 9.693 10.495
V 100.0% 100.3% 100.4% 100.2% 99.7% 99.2%
T 35.17s 35.75s 36.00s 34.17s 32.39s 42.34s
10 Km/d 0.172/0.102 0.172/0.098 0.167/0.121 0.162/0.138 0.154/0.138 0.152/0.138
H 0.097 1.646 4.720 9.521 10.561 11.075
V 100.1% 100.6% 100.6% 100.1% 99.3% 98.4%
T 81.20s 71.38s 71.34s 80.29s 80.89s 85.63s
20 Km/d 0.172/0.103 0.173/0.089 0.164/0.131 0.156/0.139 0.152/0.137 0.156/0.147
H 0.194 3.422 7.257 10.480 11.112 12.289
V 100.1% 101.2% 101.0% 99.9% 98.5% 96.8%
T 161.36s 159.20s 165.34s 168.68s 160.70s 152.56s
50 Km/d 0.172/0.104 0.177/0.076 0.158/0.135 0.151/0.138 0.157/0.151 0.164/0.162
H 0.482 8.072 10.103 10.796 12.875 15.090
V 100.3% 103.0% 102.2% 99.6% 96.4% 93.2%
T 376.29s 371.18s 381.20s 378.90s 412.34s 368.83s

 

Original Laplace Laplace+HC Laplace 2. Ordnung+HC LowPass LowPass 2. Ordnung
V=100% V=80.8% V=99.8% V=96.2% V=100.0% V=99.2%

Abbildung 1: Glättung des Lymphknoten-Modells bei Wichtungen von 0.5 und 20 Iterationen



Original Laplace Laplace+HC Laplace 2. Ordnung+HC LowPass LowPass 2. Ordnung
V=100% V=102.2% V=102.2% V=82.7% V=104.3% V=99.3%

Abbildung 2: Glättung des Halsschlagader-Modells bei Wichtungen von 0.7 und 10 Iterationen



Original Laplace Laplace+HC
V=100% V=94.2% V=99.7%
     
Laplace 2. Ordnung+HC LowPass LowPass 2. Ordnung
V=98.9% V=100.4% V=100.1%

Abbildung 3: Glättung des Beckenknochen-Modells bei Wichtungen von 0.5 und 10 Iterationen




Contact

For further information and questions feel free to contact me.

    Dipl. Ing. Ragnar Bade
    Department of Simulation and Graphics
    Faculty of Computer Science
    University of Magdeburg
    Universitätsplatz 2
    D-39106 Magdeburg
    Germany

    Phone: (+49-391) 67 12527
    Fax:     (+49-391) 67 11164
    E-Mail: rbade@isg.cs.uni-magdeburg.de

 
 home   top