DATA FUSION OF PANCHROMATIC AND MULTISPECTRAL IMAGES BASED ON OPTIMIZATION USING LAGRANGE MULTIPLIER
Keywords: image fusion, optimization, Lagrange multiplier, pansharpening
Abstract. The remote sensing satellites provide complementary images of different resolutions which need to be integrated using the techniques of image fusion. In this paper, image fusion using the IKONOS satellite data is discussed. Unlike other models which are based on sensor model, our approach is data centric including the effects of the sensor as well as the reflectance characteristics of the imaged object. A linear relationship is built between the panchromatic channel and the multispectral channel data. We then formulate a minimisation function in terms of Lagrange multiplier to optimally maximise the spectral consistency and minimise the error in variance. The variances of the downsampled multispectral channels are observed and compared with the original multispectral data. A chi-square goodness of fit test is performed to evaluate the data computed based on our algorithm. Simulation results are presented using the IKONOS 1m resolution panchromatic and 4 m resolution multispectral data.