SIAM Journal on Imaging Sciences, Volume 14, Issue 1, Page 198-223, January 2021.
Holographic representations of data enable distributed storage with progressive refinement when the stored packets of data are made available in any arbitrary order. In this paper, we propose and test patch-based transform coding holographic sensing of image data. Our proposal is optimized for progressive recovery under random order of retrieval of the stored data. The coding of the image patches relies on the design of distributed projections ensuring best image recovery, in terms of the $\ell_2$ norm, at each retrieval stage. The performance depends only on the number of data packets that have been retrieved thus far. Several possible options to enhance the quality of the recovery while changing the size and number of data packets are discussed and tested. This leads us to examine several interesting bit-allocation and rate-distortion trade-offs, highlighted for a set of natural images with ensemble estimated statistical properties.

中文翻译：

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基于补丁的全息图像传感

SIAM影像科学杂志，第14卷，第1期，第198-223页，2021年1月。
当以任何任意顺序使存储的数据包可用时，数据的全息表示可以实现渐进式细化的分布式存储。在本文中，我们提出并测试了基于补丁的图像数据全息编码变换感知。我们的建议针对存储数据的检索随机顺序下的渐进式恢复进行了优化。图像补丁的编码依赖于分布式投影的设计，以确保在每个检索阶段按照$ \ ell_2 $规范而言，图像恢复效果最佳。性能仅取决于到目前为止已检索到的数据包的数量。讨论并测试了几种可能的选项，这些选项可以在更改数据包的大小和数量的同时提高恢复质量。