Application of polynomial cellular neural networks in diagnosis of astrometric chromaticity. (English) Zbl 1201.85005

Summary: Minimization of the chromatic error in the data reduction pipeline of the Gaia mission is presented by applying polynomial cellular neural networks (PCNN). We introduce generalized PCNN model which enables us to solve the nonlinear approximation task. The advantage of the newly proposed method is in solving large-size image processing problem of diagnosis of astrometric chromaticity in real time. Rigorous stability analysis of the PCNN is presented by using the method of Lyapunov’s finite majorizing equations. The simulation results show a linear relation between the output of the proposed PCNN model and the chromaticity values as the target data.


85A04 General questions in astronomy and astrophysics
34A33 Ordinary lattice differential equations
34D20 Stability of solutions to ordinary differential equations
68T05 Learning and adaptive systems in artificial intelligence
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
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