Unique phase retrieval with a bandlimited image and its Fourier transformed constraints
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作者
Xiao, Kang; Kong, Xinyi; Wang, Zhongyang
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刊物名称
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
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年、卷、文献号
2023, 40, 1520-8532
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关键词
Xiao, Kang; Kong, Xinyi; Wang, Zhongyang
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摘要
Phase retrieval is a long-standing issue in imaging science; however, it always faces the problems of uniqueness and algorithm stagnation. Current methods to solve such problems rely heavily on support from prior informa-tion of the imaged object. In this paper, we propose an imaging method that leverages a bandlimited image and its Fourier transformed constraints for unique phase retrieval. This method can remove both trivial and nontrivial ambiguities by using the inherent constraints of the imaging system itself-without relying on prior information of the object. Furthermore, the proposed method has also been shown to succeed in special cases, including sym-metric and pure phase objects. Improvement of convergence achieved by our approach is supported by numerical simulations. (c) 2023 Optica Publishing Group