Relationship exploration among PPI, ATGP and VCA via theoretical analysis

  • Authors:

  • Chein-I Chang;Chia-Hsien Wen;Chao-Cheng Wu

  • Affiliations:

  • Remote Sensing Signal and Image Processing Laboratory, Department of Computer Science and Electrical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250 ...;Department of Computer Science and Information Management, Providence University, 200, Sec. 7, Taiwan Boulevard, Shalu Dist., Taichung City 43301, Taiwan;Department of Electrical Engineering, National Taipei University of Technology, 1, Sec. 3, Zhongxiao E. Rd., Taipei 106, Taiwan

  • Venue:
  • International Journal of Computational Science and Engineering
  • Year:
  • 2013

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Abstract

The principle of orthogonality using orthogonal projection OP is the key concept to develop mean squared error estimation theory in signal processing and communications. It has also found its way in a wide variety of applications in hyperspectral imaging. This paper explores close relationships among three OP-based algorithms, pixel purity index PPI, vertex component analysis VCA in endmember extraction, automatic target generation process ATGP in mixed pixel classification and target detection, etc. and further shows that they indeed can be interpreted one way or another. Specifically, VCA and ATGP are essentially the same algorithm in the sense that they both extract targets via maximal OP from a nested sequence of successive orthogonal subspace projection spaces.