Narrow Results

The purpose of this article is to prove a degeneracy theorem for meromorphic mappings of ℂ^m into ℂPⁿ with (2n + 2) moving targets.

In this paper, we show some Second Main Theorems for zero-order meromorphic mappings intersecting slowly moving targets in ${\mathbb{P}}^m(ℂ)$ by considering their $p$-Casorati determinant. Our results are $p$-difference analogues of Cartan’s Second Main Theorem for moving targets. As an application, we give an unicity theorem for meromorphic mappings of ${ℂ}^m$ into ${\mathbb{P}}^m(ℂ)$ under the growth condition “order $=0$”.

To detect multiple small moving targets in very cluttered background, we propose a simple parallel trajectory search algorithm. The basic idea is that the smoothness of motion and the continuity in appearances of moving targets distinguish them from background clutter and noise. The proposed method is based on the exhaustive search mechanism which guarantees global optimum but suffers from huge computation burden. We overcome this shortage by parallelizing it and achieve real-time performance on the task of detecting moving targets in satellite image sequences.