On Re-sampling of Solar Images

Digital image data are now commonly used throughout the field of solar physics. Many steps of image data analysis, including image co-alignment, perspective reprojection of the solar surface, and compensation for solar rotation, require re-sampling original telescope image data under a distorting coordinate transformation. The most common image re-sampling methods introduce significant, unnecessary flaws into the data. More correct techniques have been known in the computer graphics community for some time but remain little known within the solar community and hence deserve further presentation. Furthermore, image distortion under specialized coordinate transformations is a powerful analysis technique with applications well beyond image resizing and perspective compensation. Here I give a brief overview of the mathematics of data re-sampling under arbitrary distortions, present a simple algorithm for optimized re-sampling, give some examples of distortion as an analysis tool, and introduce scientific image distortion software that is freely available over the Internet.