Computational imaging beyond the Abbe and Nyquist limits

Ever since Antoni van Leeuwenhoek built his single-lens microscope in the late 1600s, optical microscopy has remained instrumental in many scientific disciplines. However, conventional optical imaging still suffers from many limitations. The confluence of advanced computational methods and the exponential growth of computing power helps to revolutionize far-field optical imaging by rethinking both the optical design and the post-processing. I will show how computational methods push the boundaries of optical microscopy and provide imaging beyond the Abbe and Nyquist limits simultaneously in a simple and compact optical setup.