Imaging Science and Photochemistry ›› 2005, Vol. 23 ›› Issue (5): 340-350.DOI: 10.7517/j.issn.1674-0475.2005.05.340

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Improvement in the Estimation of Reflectance Functions Generated using the Basis Vectors

WANG Ge1,2, LI Chang-jun3, ZHU Yun-long1, M Ronnier Luo3   

  1. 1. Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 100016, Liaoning P.R. China;
    2. Graduate School of the Chinese Academy of Sciences, Beijing 10039;
    3. Department of Colour Chemistry, University of Leeds, Leeds LS29JT, UK
  • Received:2005-04-01 Revised:2005-06-01 Online:2005-09-23 Published:2005-09-23

Abstract: Various techniques based upon basis vectors have been developed to generate reflectance functions from a given set of tristimulus values or an input devices’ RGB responses. At first two widely used methods, the Generalised Inverse and the Wiener, were introduced. A drawback of these methods was addressed, which is that the generated reflectance functions are sometimes out of the range between 0 and 1. A new method was developed to overcome this problem. This method was tested together with the other two methods. The new method not only gave more accurate predictions to the test data but also satisfied the boundary conditions. Furthermore, it was found that using more than 5 basis vectors does not perform better than those using 5 basis vectors.

Key words: reflectance function, tristimulus values, singular value decomposition, basis vectors, Generalised Inverse method, Wiener method

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