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摘要翻译：
针对具有锚点的强连接的一般PTYCHORGICH测量方案，分析了具有未知掩模和目标的PTYCHORGICH。在对掩码相位有一定限制的情况下，证明了掩码目标估计必须是块相位因子与真实掩码目标的乘积。这种局部唯一性表现在相位漂移方程中，该方程决定了由ptychographic移位连接的不同位置的模糊度。所提出的混合方案有效地将整个域的模糊度连接起来，从而产生明显的模糊度轮廓，从而具有全局唯一性，即块相位具有仿射轮廓，目标和掩模可以同时恢复到恒定的缩放因子和仿射相位因子。
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英文标题：
《Blind Ptychography: Uniqueness and Ambiguities》
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作者：
A. Fannjiang and P. Chen
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最新提交年份：
2020
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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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英文摘要：
Ptychography with an unknown mask and object is analyzed for general ptychographic measurement schemes that are strongly connected and possess an anchor. Under a mild constraint on the mask phase, it is proved that the masked object estimate must be the product of a block phase factor and the true masked object. This local uniqueness manifests itself in the phase drift equation that determines the ambiguity at different locations connected by ptychographic shifts. The proposed mixing schemes effectively connects the ambiguity throughout the whole domain such that a distinct ambiguity profile arises and consequently possess the global uniqueness that the block phases have an affine profile and that the object and mask can be simultaneously recovered up to a constant scaling factor and an affine phase factor.
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PDF链接：
https://arxiv.org/pdf/1806.02674
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