Effect of Tracker Radius on Accuracy and Speed

The beads used for these tests are generated algorithmically. They are a mixture of dark-on-gray discs of radius 3 and dark-on-gray Gaussian spots of standard deviation 3. The tracker radius for the disc varies. The background intensity in each image is 75% of maximum brightness and the darkest spot on the disc or the Gaussian is 25%. There is noise with a mean of 2000 and a variance of 1e7 added in these images. The disc samples are averaged over a uniform grid that has 100 times the resolution in X and Y of the final image. The Gaussians are averaged over a uniform grid that has 10 times the resolution in X and Y. This should make it possible to precisely localize the spots to 1/100th of a pixel (if there were no image noise). For all trials, the Video Spot Tracker precision setting is 0.001 and sample_spacing is 0.4.

Test 1: Disc spots

Radius
Bead Type
Motion
Mean Radial Error
Mean X Error
Mean Y Error
Max Radial Error
X Bias
Y Bias
Estimates/Sec
True Log
VST Log
Images
7
Disc
Circular
0.0486907
0.0344031
0.0280201
0.115622
0.00951916
0.00296153
46.9673
Log
VST Log
Images
9
Disc
Circular
0.0494894
0.0346144
0.0290377
0.116782
0.00923431
0.00258722
45.3433
Log
VST Log
Images
11
Disc
Circular
0.050164
0.0355769
0.0286389
0.124937
0.00964936
0.00192797
47.305
Log
VST Log
Images
13
Disc
Circular
0.0499521
0.0350477
0.0293512
0.109133
0.00969821
0.0035963
35.2955
Log
VST Log
Images
15
Disc
Circular
0.0510675
0.0360346
0.02948
0.111003
0.0103492
0.00270109
28.6239
Log
VST Log
Images
17
Disc
Circular
0.050311
0.0345164
0.0303385
0.115678
0.0101702
0.00279072
23.3485
Log
VST Log
Images


Example images follow:

disc_3_sym_circle.0000.bmp

Test 2: Gaussian spots

Radius
Bead Type
Motion
Mean Radial Error
Mean X Error
Mean Y Error
Max Radial Error
X Bias
Y Bias
Estimates/Sec
True Log
VST Log
Images
7
Gaussian
Circular
0.097123
0.0626051
0.0612745
0.274349
0.00247977
0.0175368
49.9561
Log
VST Log
Images
9
Gaussian
Circular
0.103187
0.0655755
0.0661421
0.271476
0.00090105
0.0153313
58.7816
Log
VST Log
Images
11
Gaussian
Circular
0.101721
0.0676506
0.0634217
0.279892
0.00128347
0.013248
51.2662
Log
VST Log
Images
13
Gaussian
Circular
0.10535
0.0670564
0.0671937
0.266307
4.6475e-005
0.0168287
39.7679
Log
VST Log
Images
15
Gaussian
Circular
0.109105
0.0709823
0.0684932
0.290063
0.00281347
0.0167067
30.6581
Log
VST Log
Images
17
Gaussian
Circular
0.11093
0.0711371
0.0717132
0.275523
0.00402596
0.0176751
24.7892
Log
VST Log
Images


Example images follow:

gaussian_10_sym_circle.0_0.0000.bmp