Asymptotically optimal progressive censoring plans based on Fisher information

2011 ◽  
Vol 141 (5) ◽  
pp. 1968-1980 ◽  
Author(s):  
E. Cramer ◽  
M. Ensenbach
2008 ◽  
Vol 53 (2) ◽  
pp. 366-380 ◽  
Author(s):  
N. Balakrishnan ◽  
Marco Burkschat ◽  
Erhard Cramer ◽  
Glenn Hofmann

2020 ◽  
Vol 416 ◽  
pp. 109449 ◽  
Author(s):  
Wuchen Li ◽  
Jianfeng Lu ◽  
Li Wang

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 498
Author(s):  
Chen Zhang ◽  
Kevin Welsher

In this work, we present a 3D single-particle tracking system that can apply tailored sampling patterns to selectively extract photons that yield the most information for particle localization. We demonstrate that off-center sampling at locations predicted by Fisher information utilizes photons most efficiently. When performing localization in a single dimension, optimized off-center sampling patterns gave doubled precision compared to uniform sampling. A ~20% increase in precision compared to uniform sampling can be achieved when a similar off-center pattern is used in 3D localization. Here, we systematically investigated the photon efficiency of different emission patterns in a diffraction-limited system and achieved higher precision than uniform sampling. The ability to maximize information from the limited number of photons demonstrated here is critical for particle tracking applications in biological samples, where photons may be limited.


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