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A novel blind-deconvolution method with an application to seismology. (English) Zbl 0924.65136
Extract from the authors’ abstract: We propose a nontrivial modification of an iterative blind-deconvolution method used for image identification. The main feature of our method, which is based on the projected Landweber method, is that the use of different constraints for the EGF and STF is allowed. The convergence of the method is very fast and the results obtained in the case of synthetic and real data are quite satisfactory. It can be applied to any deconvolution problem where a rough approximation of the point spread function is available and different constraints must be used for the impulse response function and the input of the system.
MSC:
65R10Integral transforms (numerical methods)
86A15Seismology
86A22Inverse problems in geophysics
65R30Improperly posed problems (integral equations, numerical methods)
44A35Convolution (integral transforms)