The phase problem: Analysis of local extrema and image reconstruction algorithms

Autor:	S. D. Pol’skikh
Rok vydání:	2008
Předmět:	Mathematical optimization Radiation Phase (waves) Estimator Phase problem Condensed Matter Physics Electronic Optical and Magnetic Materials Image (mathematics) Maxima and minima Amplitude Position (vector) Electrical and Electronic Engineering Algorithm Global optimization Mathematics
Zdroj:	Journal of Communications Technology and Electronics. 53:208-221
ISSN:	1555-6557 1064-2269
Popis:	Solution of the phase problem (reconstruction of the spectrum phase from the measured values of the spectrum amplitude) is considered from positions of global optimization. Local extrema (stagnation states of iterative procedures) are analyzed. It is shown that local image estimators are characterized by reconstruction of the low-frequency information, which is associated with the object position. An image-reconstruction strategy based on successive (iterative) refinement of the object position, which is the domain of attraction of the global extremum, is proposed. The results of numerical investigation of the proposed strategy are presented for the case of reconstruction of the image of a satellite model.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8556ffe157b01833b9b057911e59661a https://doi.org/10.1134/s1064226908020137 Zobrazit plný text záznamu Full text from SpringerLink