PhD Thesis Defense
A physical lens is limited in its ability to capture an image that is both high-resolution and wide-field due to aberrations even with a sophisticated lens design. This thesis explores computational methods that expand on the recently developed Fourier ptychographic microscopy (FPM) to overcome the physical limitations. New algorithms and imaging methods extend the computational aberration correction to more general imaging modalities including fluorescence microscopy and incoherent bright-field imaging so as to allow even a crude lens to perform like an ideal lens. This paradigm shift from the lens design to computational algorithms democratizes high-resolution imaging by making it easier to use and less complicated to build.