  A capturing system with multispectral filter array (MSFA) technology is
proposed for shortening the capture time and reducing costs. Therein, a
mosaicked image captured using an MSFA is demosaicked to reconstruct
multispectral images (MSIs). Joint optimization of the spectral sensitivity of
the MSFAs and demosaicking is considered, and pathology-specific multispectral
imaging is proposed. This optimizes the MSFA and the demosaicking matrix by
minimizing the reconstruction error between the training data of a hematoxylin
and eosin-stained pathological tissue and a demosaicked MSI using a cost
function. Initially, the spectral sensitivity of the filter array is set
randomly and the mosaicked image is obtained from the training data.
Subsequently, a reconstructed image is obtained using Wiener estimation. To
minimize the reconstruction error, the spectral sensitivity of the filter array
and the Wiener estimation matrix are optimized iteratively through an
interior-point approach. The effectiveness of the proposed MSFA and
demosaicking is demonstrated by comparing the recovered spectrum and RGB image
with those obtained using a conventional method.
