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This study presents an approach to reconstruct high-resolution imagery for multispectral imagery of low-resolution using panchromatic imagery of high-resolution. The proposed scheme reconstructs at the higher resolution the multispectral images which agree with the spectral values observed from the sensor of the lower resolution values. It uses a regression model of second order for panchromatic and multispectral images. Based on the regression model, the multispectral images at the higher spatial resolution of the panchromatic image are optimized by a quadratic programming. In this study, the new method was applied to the IKONOS 1 m panchromatic and 4 m multispectral data. The results show its capability to reconstruct high-resolution imagery from multispectral data of low-resolution.