There has been significant research on pan-sharpening multispectral imagery with a high resolution image, but
there has been little work extending the procedure to high dimensional hyperspectral imagery. We present a
wavelet-based variational method for fusing a high resolution image and a hyperspectral image with an arbitrary
number of bands. To ensure that the fused image can be used for tasks such as classification and detection,
we explicitly enforce spectral coherence in the fusion process. This procedure produces images with both high
spatial and spectral quality. We demonstrate this procedure on several AVIRIS and HYDICE images.