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摘要翻译：
改进的Gerchberg-Saxton算法(MGSA)是相位反演的标准方法之一。在本工作中，我们将MGSA应用于近轴域。对于给定的三个物理参数，即波长、传输距离和像素尺寸，菲涅耳变换的计算宽度是固定的。此宽度可以大于输入或输出图像的实际尺寸。因此，它可以在没有给定振幅（强度）值的情况下诱导真实输入和输出周围的填充。为了解决这个问题，我们提出了一个非常简单有效的解决方案，并与其他方法进行了比较。我们证明了新的改进GSA在不损失最简单方法的时间效率的情况下提供了几乎完美的结果。
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英文标题：
《Optimization of phase retrieval in the Fresnel domain by the modified
Gerchberg-Saxton algorithm》
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作者：
Soheil Mehrabkhani, Melvin Kuester
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最新提交年份：
2019
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分类信息：
一级分类：Electrical Engineering and Systems Science 电气工程与系统科学
二级分类：Image and Video Processing 图像和视频处理
分类描述：Theory, algorithms, and architectures for the formation, capture, processing, communication, analysis, and display of images, video, and multidimensional signals in a wide variety of applications. Topics of interest include: mathematical, statistical, and perceptual image and video modeling and representation; linear and nonlinear filtering, de-blurring, enhancement, restoration, and reconstruction from degraded, low-resolution or tomographic data; lossless and lossy compression and coding; segmentation, alignment, and recognition; image rendering, visualization, and printing; computational imaging, including ultrasound, tomographic and magnetic resonance imaging; and image and video analysis, synthesis, storage, search and retrieval.
用于图像、视频和多维信号的形成、捕获、处理、通信、分析和显示的理论、算法和体系结构。感兴趣的主题包括：数学，统计，和感知图像和视频建模和表示；线性和非线性滤波、去模糊、增强、恢复和重建退化、低分辨率或层析数据；无损和有损压缩编码；分割、对齐和识别；图像渲染、可视化和打印；计算成像，包括超声、断层和磁共振成像；以及图像和视频的分析、合成、存储、搜索和检索。
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一级分类：Physics 物理学
二级分类：Optics 光学
分类描述：Adaptive optics. Astronomical optics. Atmospheric optics. Biomedical optics. Cardinal points. Collimation. Doppler effect. Fiber optics. Fourier optics. Geometrical optics (Gradient index optics. Holography. Infrared optics. Integrated optics. Laser applications. Laser optical systems. Lasers. Light amplification. Light diffraction. Luminescence. Microoptics. Nano optics. Ocean optics. Optical computing. Optical devices. Optical imaging. Optical materials. Optical metrology. Optical microscopy. Optical properties. Optical signal processing. Optical testing techniques. Optical wave propagation. Paraxial optics. Photoabsorption. Photoexcitations. Physical optics. Physiological optics. Quantum optics. Segmented optics. Spectra. Statistical optics. Surface optics. Ultrafast optics. Wave optics. X-ray optics.
自适应光学。天文光学。大气光学。生物医学光学。基本点。准直。多普勒效应。纤维光学。傅里叶光学。几何光学（梯度折射率光学、全息术、红外光学、集成光学、激光应用、激光光学系统、激光、光放大、光衍射、发光、微光学、纳米光学、海洋光学、光学计算、光学器件、光学成像、光学材料、光学计量学、光学显微镜、光学特性、光学信号处理、光学测试技术、光波传播、傍轴光学、光吸收、光激发、物理光学、生理光学、量子光学、分段光学、光谱、统计光学、表面光学、超快光学、波动光学、X射线光学。
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英文摘要：
The modified Gerchberg-Saxton algorithm (MGSA) is one of the standard methods for phase retrieval. In this work we apply the MGSA in the paraxial domain. For three given physical parameters - i.e. wavelength, propagation distance and pixel size the computational width in the Fresnel-Transform is fixed. This width can be larger than the real dimension of the input or output images. Consequently, it can induce a padding around the real input and output without given amplitude (intensity) values. To solve this problem, we propose a very simple and efficient solution and compare it to other approaches. We demonstrate that the new modified GSA provides almost perfect results without losing the time efficiency of the simplest method.
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PDF链接：
https://arxiv.org/pdf/1711.01176
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