Effect of Kernel type on Accuracy and Speed

The beads used for these tests are generated algorithmically. They are a mixture of dark-on-gray discs of radius 10 and dark-on-gray Gaussian spots of standard deviation 10. The tracker radius for the disc is set to 10 pixels. The kernel radius for the cone and symmetric kernels is set to 12 pixels. 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 no noise 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. For all trials, the Video Spot Tracker precision setting is 0.001 and sample_spacing is 0.1.

Test 1: Disc Spot

Kernel 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
disc	Circular	0.0108479	0.00683553	0.0069961	0.0224911	0.00425225	-0.0043627	1.77155	Log	VST Log	Images
cone	Circular	0.00569604	0.00214913	0.00504627	0.0113754	0.00172943	-0.00504627	2.07763	Log	VST Log	Images
symmetric	Circular	0.00759119	0.00482338	0.00467292	0.0138749	0.00454523	-0.00433013	3.23313	Log	VST Log	Images

Example images follow:

disc_disc_circle.0_0.0000.bmp

disc_cone_circle.0_0.0000.bmp

disc_symmetric_circle.0_0.0000.bmp

Test 2: Gaussian Spot

Kernel 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
disc	Circular	0.0234802	0.0153683	0.0146781	0.05491	-0.00260813	-0.000969108	1.71138	Log	VST Log	Images
cone	Circular	0.0105064	0.00979033	0.00277706	0.0174521	-0.00976963	0.000406192	2.08404	Log	VST Log	Images
symmetric	Circular	0.00368373	0.00215055	0.00257557	0.00820792	0.000647067	-4.14e-005	3.21466	Log	VST Log	Images

Example images follow:

gaussian_disc_circle.0_0.0000.bmp

gaussian_cone_circle.0_0.0000.bmp

gaussian_symmetric_circle.0_0.0000.bmp