Main > Acta Optica Sinica >  Volume 34 >  Issue 2 >  Page 233001 > Article
  • Abstract
  • Abstract
  • View Summary
  • Figures (0)
  • Tables (0)
  • Equations (0)
  • References (17)
  • Get PDF(in Chinese)
  • Paper Information
  • Received: Aug. 9, 2013

    Accepted: --

    Posted: Feb. 1, 2014

    Published Online: Jan. 23, 2014

    The Author Email: Songhua He (

    DOI: 10.3788/aos201434.0233001

  • Get Citation
  • Copy Citation Text

    He Songhua, Liu Zhen, Chen Qiao. Research of Spectral Dimension Reduction Method Based on Matrix Theory[J]. Acta Optica Sinica, 2014, 34(2): 233001

    Download Citation

  • Category
  • Vision, Color, and Visual Optics
  • Share
Acta Optica Sinica, Vol. 34, Issue 2, 233001 (2014)

Research of Spectral Dimension Reduction Method Based on Matrix Theory

Songhua He1,*, Zhen Liu2, and Qiao Chen1

Author Affiliations

  • 1[in Chinese]
  • 2[in Chinese]


Aiming at the defect of traditional spectral dimension reduction method, a new method based on the matrix theory is presented. The matrix is the revision of the matrix R theory defined by Cohen. Object spectral reflectance can be decomposed into the fundamental spectrum and the metameric black spectrum, and then linear dimension reduction is carried respectively. Three basis functions of the fundamental spectrum whose percent variance reach 100% are the orthogonal result of the color-matching functions multiplied with illuminant. The basis functions of the metameric black are derived by principal component analysis. Results of experiment show that the proposed model improves spectral and colorimetric accuracy of reconstructed spectra and satisfies the requirement of spectral color reproduction.


Please Enter Your Email: