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The heat equation is often used in order to inpaint dropped data ininpainting-based lossy compression schemes. We propose an alternative way tonumerically solve the heat equation by an extended Krylov subspace method. Themethod is very efficient with respect to the direct computation of the solutionof the heat equation at large times. And this is exactly what is needed fordecoding edge-compressed pictures by homogeneous diffusion.

An extended Krylov subspace method for decoding edge-based compressed images by homogeneous diffusion