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Title of Journal: OPT REV

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Abbravation: Optical Review

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The Optical Society of Japan

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DOI

10.1016/0223-5234(94)90029-9

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1349-9432

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Optimized basis function for spectral reflectance

Authors: Denglu Wu Jiandong Tian Yandong Tang
Publish Date: 2014/04/05
Volume: 21, Issue: 2, Pages: 117-126
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Abstract

Spectral reflectance is a significant physical property of materials It plays an important role in color constancy illumination modeling and color reproduction Spectral reflectance basis functions are the most important impact factors for spectral reflectance recovery Previous methods mainly calculated basis functions for the reflectance spectra data sets by employing the principle component analysis PCA and its improved methods In this paper we present a new method to solve this problem Specifically we propose a new cost function and some constraint conditions to convert the problem into an optimization problem by minimizing the cost function Unlike the PCA method which yields the orthogonal basis functions for approximating the reflectance spectra our method yields the nonorthogonal basis functions for better approximating the reflectance spectra Experimental results show that our derived basis functions are better than those obtained by the PCA method for reflectance spectra recovery


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