本文選題：空間碎片 + 端元數(shù)目估計��； 參考：《光譜學與光譜分析》2017年09期

【摘要】：在觀測空間碎片時,受碎片結構緊湊、組成材料復雜,以及地基觀測設備空間分辨率的限制,同一像元中通常會包含多種材料的信息,即產(chǎn)生"混合像元"。目前國內(nèi)外對混合像元的研究主要集中在獲取混合像元的純物質(zhì)光譜以及豐度上,往往忽略了高光譜數(shù)據(jù)中純物質(zhì)個數(shù)的確定對于沒有任何先驗信息的混合像元分析是至關重要的。如果估計的材料數(shù)目過少,將會導致解混出的材料光譜仍然是混合狀態(tài)的像元;如果估計的材料數(shù)目過多,提取出的端元中將很有可能包含冗余噪聲成分�；诠庾V線性混合模型,提出一種改進的p范數(shù)純像元辨識算法。主要利用光譜數(shù)據(jù)具有近似于低維流形的特性,首先采用正交投影的原理,將提取的端元擴充至正交投影算子中,然后分析投影后各個像元向量的p范數(shù)值,最終將p范數(shù)值高于閾值的向量個數(shù)作為材料種類數(shù)目。對實測碎片常用材料和美國地質(zhì)勘測局數(shù)據(jù)庫分別進行仿真實驗,實驗結果表明:提出的方法在估計材料種類數(shù)目的同時,還能提取出目標所包含的材料光譜,這在一定程度上提高混合光譜分解過程的自動化程度;相對于現(xiàn)有的一些主流算法,該方法有較強的魯棒性,并且在信噪比不高的情況下仍能正確地估計空間碎片材料種類數(shù)目。
[Abstract]:When observing space debris, the structure of debris is compact, the composition of material is complex, and the spatial resolution of ground-based observation equipment is limited, the same pixel usually contains information of various materials, that is, "mixed pixel" is produced. At present, the research on mixed pixels at home and abroad is mainly focused on obtaining pure material spectrum and abundance of mixed pixels. It is often neglected that the determination of the number of pure matter in hyperspectral data is essential for mixed pixel analysis without any prior information. If the estimated number of materials is too small, the spectrum of the material will still be the pixel in the mixed state. If the estimated number of materials is too large, the extracted end elements will probably contain redundant noise components. Based on the spectral linear mixed model, an improved p-norm pure pixel identification algorithm is proposed. In this paper, the spectral data is used to approximate the low dimensional manifold. Firstly, by using the principle of orthogonal projection, the extracted endelements are extended to the orthogonal projection operator, and then the p-norm values of each pixel vector after projection are analyzed. Finally, the number of vectors whose p-norm value is higher than the threshold value is taken as the number of materials. Simulation experiments were carried out on the commonly used debris materials and the USGS database. The experimental results show that the proposed method not only estimates the number of materials, but also extracts the spectrum of materials contained in the target. This method can improve the automation of the mixed spectral decomposition process to some extent, and it has strong robustness compared with some existing mainstream algorithms. And the number of space debris materials can be estimated correctly under the condition of low signal-to-noise ratio (SNR).
【作者單位】： 北京航空航天大學儀器科學與光電工程學院精密光機電一體化技術教育部重點實驗室;
【基金】：國家自然科學基金項目(61575015)資助
【分類號】：O657.3;V528
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本文編號：1907954