New paper: "Image zooming based on sampling theorems"

Together with my good friend, Prof. José M. Almira, I have published in Materials Matemàtics a paper entitled "Image zooming based on sampling theorems" which reviews some classic zooming methods (specifically the 'sinc interpolation') used in the field of digital image processing. It is a review paper, where we have tried to be precise the compilation of the literature in this topic, and giving a formal notation, from a mathematical point of view, of the process of zooming an image. As the abstract says:

In this paper we introduce two digital zoom methods based on sampling theory and we study their mathematical foundation. The first one (usually known by the names of ‘sinc interpolation’, ‘zero-padding’ and ‘Fourier zoom’) is commonly used by the image processing community.

The paper is online here, as the journal is electronic, and can be seen and downloaded without costs of any kind. I highly encourage to read it if you are insterested in how digital images can be zoomed in programs like The Gimp or Photoshop.

I must thank the editors and add that the final version of the paper is impressive, due to the nice LaTeX style used in the journal and the careful edition they have made, polishing its content, and adding some descriptive images to those we already provided.