Matrix calculation of high-dimensional cross product and its application in automatic recognition of the endmembers of hyperspectral imagary  

作　　者：GENG XiuRui ZHAO YongChao LIU SuHong WANG FuXiang 

机构地区：[1]Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing 100080, China [2]State Key Laboratory of Remote Sensing Science, Jointly Sponsored by Beijing Normal University and the Institute of Remote Sensing Applications of Chinese Academy of Sciences, School of Geography, Beijing Normal University, Beijing 100875, China [3]School of Electronics and Information Engineering, Beihang University, Beijing 100191, China

出　　处：《Science China(Information Sciences)》2011年第1期197-203,共7页中国科学（信息科学）（英文版）

基　　金：supported by the National Basic Research Program of China(Grant Nos.2007CB714406, 2007CB714401,2007CB403507);the National Natural Science Foundation of China(Grant No.40501041);the National Science Foundation of USA(Grant No.0421530)

摘　　要：This paper gives the definition of the high-dimensional cross product and its calculation by extending the 3-D cross product definition into the high-dimensional vector space, Based on the properties of the cross product, the volume variance index （VVI） is proposed to be used in extracting automatically the endmembers of the hypherspectral imagery which eliminates the shortcoming of the traditional method of using simplex only where the extraction results were easily impacted by the abnormal pixels. A case study of endmembers extraction experiment using the VVI method with the AVIRIS data for Cuprite has shown a very good result.This paper gives the definition of the high-dimensional cross product and its calculation by extending the 3-D cross product definition into the high-dimensional vector space, Based on the properties of the cross product, the volume variance index （VVI） is proposed to be used in extracting automatically the endmembers of the hypherspectral imagery which eliminates the shortcoming of the traditional method of using simplex only where the extraction results were easily impacted by the abnormal pixels. A case study of endmembers extraction experiment using the VVI method with the AVIRIS data for Cuprite has shown a very good result.

关 键 词：ENDMEMBER SIMPLEX hyperspectral imagery cross producg 

分 类 号：O151.21[理学—数学] TP79[理学—基础数学]