This paper analyzes the surface appearance of a textured fluorescent object. First, the bispectral radiance factor of the fluorescent object is decomposed into the fluorescent emission (luminescent) component and the reflection component, which are summarized as the Donaldson matrix. Second, the observed spectral images are described by a multiplication of two factors: one factor is spectral functions depending on wavelength and another is the weighting factors representing the surface texture. An algorithm is proposed to estimate the bispectral functions and the location weights from the spectral images observed under multiple illuminants. Third, the two textured images of the reflection component and the luminescent component are constructed using the estimates of the spectral function and the location weights. Also the surface appearances of the same fluorescent object under arbitrary illumination are constructed by combining the two component images.