Prahl Scott A, Dayton Amanda, Juedes Kyle, Sánchez Erik J, López Rafael Páez, Duncan Donald D
Oregon Insitute of Technology, Wilsonville, Oregon 97070, USA.
J Opt Soc Am A Opt Image Sci Vis. 2012 Oct 1;29(10):2104-9. doi: 10.1364/JOSAA.29.002104.
Reconstruction of an image (or shape or wavefront) from measurements of the derivatives of the image in two orthogonal directions is a common problem. We demonstrate how a particular reconstructor, commonly referred to as the Fried algorithm, can be used with megapixel derivative images to recover the original image. Large datasets are handled by breaking the derivative images into smaller tiles, applying the Fried algorithm and stitching the tiles back together. The performance of the algorithm is demonstrated using differential interference contrast microscopy on a known test object.