\input zb-basic \input zb-ioport \iteman{io-port 02033236} \itemau{Minami, Motoi; Hirose, Akira} \itemti{Phase singular points reduction by a layered complex-valued neural network in combination with constructive Fourier synthesis.} \itemso{Kaynak, Okyay (ed.) et al., Artificial neural networks and neural information processing --- ICANN/ICONIP 2003. Joint international conference ICANN/ICONIP 2003, Istanbul, Turkey, 26--29, 2003. Proceedings. Berlin: Springer (ISBN 3-540-40408-2/pbk). Lect. Notes Comput. Sci. 2714, 943-950 (2003).} \itemab Summary: We propose a novel layered complex-valued neural network to reduce singular points (SP's) in phase images to obtain Digital Elevation Maps (DEM's) through phase unwrapping. First we prepare a SP-free distorted image for a wrapped image data by constructive Fourier synthesis. We patch fractions of the SP-free image at the SP locations of the raw image and, then, feed it to estimation layer of the network as the initial image. The estimation layer interacts with raw-image layer with a complex-valued neurodynamics to yield a better estimation in which the SP number is reduced. The proposal reduces the calculation cost of unwrapping process and also increases the accuracy of the output DEM. \itemrv{~} \itemcc{} \itemut{} \itemli{http://link.springer.de/link/service/series/0558/bibs/2714/27140943.htm} \end