Phase retrieval (original) (raw)
Phase retrieval is the process of algorithmically finding solutions to the phase problem. Given a complex signal , of amplitude , and phase : where x is an M-dimensional spatial coordinate and k is an M-dimensional spatial frequency coordinate. Phase retrieval consists of finding the phase that satisfies a set of constraints for a measured amplitude. Important applications of phase retrieval include X-ray crystallography, transmission electron microscopy and coherent diffractive imaging, for which . Uniqueness theorems for both 1-D and 2-D cases of the phase retrieval problem, including the phaseless 1-D inverse scattering problem, were proven by Klibanov and his collaborators (see References).
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| dbo:abstract | Phase retrieval is the process of algorithmically finding solutions to the phase problem. Given a complex signal , of amplitude , and phase : where x is an M-dimensional spatial coordinate and k is an M-dimensional spatial frequency coordinate. Phase retrieval consists of finding the phase that satisfies a set of constraints for a measured amplitude. Important applications of phase retrieval include X-ray crystallography, transmission electron microscopy and coherent diffractive imaging, for which . Uniqueness theorems for both 1-D and 2-D cases of the phase retrieval problem, including the phaseless 1-D inverse scattering problem, were proven by Klibanov and his collaborators (see References). (en) Recuperação de fase diz respeito à solução para o problema da fase. Dado um sinal complexo , de amplitude , e fase : , a recuperação de fase consiste em encontrar a fase que, para uma amplitude medida, satisfaz um conjunto de restrições. O problema da recuperação de fase surge em aplicações da teoria eletromagnética em que a fase da onda é aparentemente perdida ou difícil de ser medida e somente dados de intensidade estão disponíveis. Por exemplo se é a transformada de Fourier de , uma restrição típica seria que é uma função limitada real e positiva. A mais importante aplicação da recuperação de fase é a cristalografia de raios X, vencedora de vários Prêmios Nobel. (pt) |
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| rdfs:comment | Phase retrieval is the process of algorithmically finding solutions to the phase problem. Given a complex signal , of amplitude , and phase : where x is an M-dimensional spatial coordinate and k is an M-dimensional spatial frequency coordinate. Phase retrieval consists of finding the phase that satisfies a set of constraints for a measured amplitude. Important applications of phase retrieval include X-ray crystallography, transmission electron microscopy and coherent diffractive imaging, for which . Uniqueness theorems for both 1-D and 2-D cases of the phase retrieval problem, including the phaseless 1-D inverse scattering problem, were proven by Klibanov and his collaborators (see References). (en) Recuperação de fase diz respeito à solução para o problema da fase. Dado um sinal complexo , de amplitude , e fase : , a recuperação de fase consiste em encontrar a fase que, para uma amplitude medida, satisfaz um conjunto de restrições. O problema da recuperação de fase surge em aplicações da teoria eletromagnética em que a fase da onda é aparentemente perdida ou difícil de ser medida e somente dados de intensidade estão disponíveis. Por exemplo se é a transformada de Fourier de , uma restrição típica seria que é uma função limitada real e positiva. (pt) |
| rdfs:label | Phase retrieval (en) Recuperação de fase (pt) |
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