Few videos explaining and demonstrating the Pixel Shift Resolution mode found in the new Pentax K-1 camera:
https://www.youtube.com/watch?v=YyexKqv1idk
More Pentax K-1 videos can be found here (I will continue to add new videos to that post).
Explanations of the Pentax K-1 Pixel Shift Resolution system with a new motion correction function:
The K-1 uses the latest super-resolution technology, which captures four images of the same scene by shifting the image sensor by a single pixel for each image, and then synthesizes them into a single composite image. Since the K-1’s SR unit has a flexible design that tilts the image sensor unit in all directions, it provides a host of handy shooting functions, including auto level compensation, image-composition fine-adjustment, and ASTRO TRACER, which simplifies advanced astronomical photography using a built-in GPS module. (source)