RPL was supported through a grant from El Consejo Nacional de Ciencia y Tecnología, and SAP was partially supported by National Institutes of Health grant NIH-NIDCR-R21-DE016758.
Journal of the Optical Society of America A: Optics, Image Science and Vision
Optics, Microscopy -- Technique, Image processing -- Mathematical models
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.
Prahl, S. A., Dayton, A., Juedes, K., Sanchez, E. J., Lopez, R. P., & Duncan, D. D. (2012). Experimental validation of phase using Nomarski microscopy with an extended Fried algorithm. Journal of the Optical Society of America a-Optics Image Science and Vision, 29(10), 2104-2109.