• Chinese Optics Letters
  • Vol. 17, Issue 11, 111101 (2019)
Wei Wei1、2, Lihua Huang1、*, Xinran Zhu1、2, Liqing Ling1, Kai Guo1, and Huijie Huang1
Author Affiliations
  • 1Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
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    DOI: 10.3788/COL201917.111101 Cite this Article Set citation alerts
    Wei Wei, Lihua Huang, Xinran Zhu, Liqing Ling, Kai Guo, Huijie Huang. Application of reflectance transformation imaging for the display of handwriting traces[J]. Chinese Optics Letters, 2019, 17(11): 111101 Copy Citation Text show less

    Abstract

    In our Letter, two kinds of handwriting traces, colored and colorless, are studied by means of reflectance transformation imaging. The illumination direction and rendering mode can be changed alternatively to obtain two-dimensional and three-dimensional details of the traces that are not recognized easily by naked eyes. Furthermore, an objective evaluation method without reference is applied to evaluate the reconstructed images, which provides a basis for setting the illumination direction and rendering mode. Therefore, the handwriting trace information including the written content, the writing features, and the stroke order features can be obtained objectively and accurately.
    L(u,v;lu,lv)=a0(u,v)lu2+a1(u,v)lv2+a2(u,v)lulv+a3(u,v)lu+a4(u,v)lv+a5(u,v).(1)

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    Brightness:L(x,y)=2μxμy+C1μx2+μy2+C1,Contrast:C(x,y)=2σxσy+C2σx2+σy2+C2,Structuralinformation:S(x,y)=σxy+C3σxσy+C3,(2)

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    SSIM(x,y)=[L(x,y)]α[C(x,y)]β[S(x,y)]γ,(3)

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    Wei Wei, Lihua Huang, Xinran Zhu, Liqing Ling, Kai Guo, Huijie Huang. Application of reflectance transformation imaging for the display of handwriting traces[J]. Chinese Optics Letters, 2019, 17(11): 111101
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