It is sometimes necessary to perform linear interpolation or “blending” of two vectors. For example, this is done to “mix” two audio waveforms or blend two images. The equation is: For each element of ...

We consider the following classical problem of interpolation theory: Let Ā = (A0,A1), B̄ = (B0,B1) be a Banach couples, let T : A0 → B0 be compact and T : A1 → B1 be bounded; when is T : Ā[θ] → B̄[θ] ...

When enlarging or reducing an image, if the image is simply processed as it is, the image quality will become rough. Therefore, an algorithm is needed to smooth the image and enlarge or reduce it ...

This is a preview. Log in through your library . SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods ...