  A capturing system with multispectral filter array (MSFA) technology has been
researched to shorten the capturing time and reduce the cost. In this system,
the mosaicked image captured by the MSFA is demosaicked to reconstruct
multispectral images (MSIs). We focus on the spectral sensitivity design of a
MSFA in this paper and propose a pathology-specific MSFA. The proposed method
optimizes the MSFA by minimizing the reconstruction error between training data
of a pathological tissue and a demosaicked MSI under a cost function. Firstly,
the spectral sensitivities of the filter array are set randomly, and the
mosaicked image is obtained from the training data and the filter array. Then,
a reconstructed image is obtained by Wiener estimation. The spectral
sensitivities of the filter array are optimized iteratively by an
interior-point approach to minimize the reconstruction error. We show the
effectiveness of the proposed MSFA by comparing the recovered spectrum and RGB
image with a conventional method.
