Moving dim point target detection with three-dimensional wide-to-exact search directional filtering
Section snippets
Introduction and motivation
A crucial problem in spaceborne and IR (infrared) surveillance system today is the detection and recognition of weak moving targets at low signal-to-noise/clutter ratios. Algorithms are currently available to reduce background clutter and to enhance target detectability. There are two basic target detection approaches: detect-before-track (DBT) and track-before-detect (TBD) methods. The former can have a reasonable performance only for high signal-to-noise/clutter ratio (SNCR). But for low
Clutter suppression
Let a sequence of two-dimensional (2D) images be taken at uniform time intervals by IR sensors whose field of view is fixed with respect to background, and the background is relatively holding still. Stacking the image sequence yields a 3D image sequence that can be described in spatial-temporal coordinates (x, y, t). Here, (x, y) are the spatial coordinates, while t is the time coordinates.
In order to make the 3DWESDF work well, clutter suppression is necessary. The usual ways are local mean
3D directional (matched) filter theory
A directional filter designed to give enhancement to signals, with straight line features in a certain direction embedded in whitening noise (i.e. Gaussian noise or quasi-Gaussian noise).
When a moving target crosses the field-of-view, it leaves a trace (or a signature) in the 3D image. The trace is manifested by a change of magnitude or gray in the pixels around the target trajectory. The change in magnitude is roughly proportional to the time spent by the target on the specific pixel. The
3D wide-to-exact search directional filter (3DWESDF)
In order to realize real-time processing, we develop 3DWESDF to decrease the computational requirements greatly and increase the target energy accumulation ability further. Let us consider the 3DDF operation in the spatial-temporal domain, using inverse Fourier transform to formula (11), the 3D impulse response expressed aswhere is the spatial-temporal domain expression of
Experimental results
We use ISCR increasing and the range of intensity value (RIV) of the image to evaluate the background suppression ability. Fig. 7 depicts the performance comparison of TDLMS and 3DSTAPF algorithm. We list the ISCRs of original image sequence and TDLMS result and 3DSTAPF result in Table 1, including their RIVs. The original image sequence is a real infrared (IR) image sequence, and the target trace in it is synthetic. The velocity of the target is 1 p/f in its magnitude and 30° in its direction.
Conclusion
In this letter, we have presented an improved algorithm 3DWESDF and a useful background algorithm 3DSTAPF. We evaluated the performance of the 3DWESDF and 3DSTAPF methods as applied to IR image sequences under real world conditions. We also illustrate the performance comparisons of the proposed 3DWESDF algorithm and 3DDF on real IR image data. With our algorithms, we can improve the ISCR from 0.2317 to 13.7651 step by step. And we can decrease the computing time from 24 min and 54 s to 2 min and 4
Acknowledgements
This work was supported by the National Natural Science Foundation of PR China (No. 60135020) and the National emphatic pre-research project of PR China (No. 113020402).
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