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arXiv 1702.08007cs.CV
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高光谱图像的贝叶斯非参数解混

Bayesian Nonparametric Unmixing of Hyperspectral Images

Technische Universität Darmstadt(达姆施塔特工业大学)

Jürgen Hahn, Abdelhak M. Zoubir

摘要:

高光谱成像是遥感的一个重要工具,可以对广阔的区域进行准确的分析。由于空间分辨率低,高光谱图像的像素很少代表单一材料,而是不同光谱的混合物。HSU旨在估计感兴趣的场景中存在的纯光谱,称为端元,以及它们在每个像素中的分数,称为丰度。今天,已经提出了许多HSU算法,基于几何或统计模型。虽然大多数方法假设场景中存在的端元的数量是已知的,但只有很少的工作是从观察到的数据估计这个数字。在这项工作中,我们提出了一个贝叶斯非参数框架,共同估计的数量的端元,端元本身,和他们的丰度,利用印度巴菲特过程作为一个先验的端元。仿真结果和实际数据的实验表明,该算法的有效性,产生的结果与国家的最先进的方法,同时能够可靠地推断端元的数量。在强噪声的情况下,其他算法只能提供很差的结果,所提出的方法往往会稍微高估端元的数量。然而,额外的端元,往往只是代表嘈杂的副本,目前的端元,可以很容易地合并在后处理步骤。

英文摘要:

Hyperspectral imaging is an important tool in remote sensing, allowing for accurate analysis of vast areas. Due to a low spatial resolution, a pixel of a hyperspectral image rarely represents a single material, but rather a mixture of different spectra. HSU aims at estimating the pure spectra present in the scene of interest, referred to as endmembers, and their fractions in each pixel, referred to as abundances. Today, many HSU algorithms have been proposed, based either on a geometrical or statistical model. While most methods assume that the number of endmembers present in the scene is known, there is only little work about estimating this number from the observed data. In this work, we propose a Bayesian nonparametric framework that jointly estimates the number of endmembers, the endmembers itself, and their abundances, by making use of the Indian Buffet Process as a prior for the endmembers. Simulation results and experiments on real data demonstrate the effectiveness of the proposed algorithm, yielding results comparable with state-of-the-art methods while being able to reliably infer the number of endmembers. In scenarios with strong noise, where other algorithms provide only poor results, the proposed approach tends to overestimate the number of endmembers slightly. The additional endmembers, however, often simply represent noisy replicas of present endmembers and could easily be merged in a post-processing step.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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