In this study, a sharpening method based on a neural network (NN) approximation technique is described to increase the spatial resolution of thematic mapper (TM) thermal-infrared (T-IR) data. Sharpening is derived from a learned input-output mapping of edge contrast patterns between TIR and higher resolution TM bands. This method is similar to a reported adaptive least squares (LS) method to es...

Thanks to (1.1), the bilinear form on X×X at the left hand side is bounded, symmetric, and elliptic, and the right-hand side defines a bounded functional on X . From the Lax-Milgram lemma, we conclude that (1.2), and so the least-squares problem, has a unique solution u∈X that depends continuously on f ∈Y ′. Whenever the equation Gu= f has a solution, i.e., f ∈IG (consistency), it is the unique...