1. A method according to forming a super-resolution image of an object that fluoresces at an activation wavelength and is inhibited from fluorescing at an inhibition wavelength, comprising: a) using light having the inhibition wavelength, sequentially forming n 2 interference-pattern images on the object to define fluorescence emission areas of the object, where n is an integer equal to 2 or greater; b) illuminating the object with light of the activation wavelength for each of the n 2 interference-pattern images to cause the fluorescence emission areas to emit fluorescent light at a fluorescent wavelength; c) capturing n 2 sparse object images that include images of the emission areas convolved with respective point spread functions (PSF), wherein the emission areas are smaller than the PSFs; d) for each of the sparse object images, de-convolving each of the emission-area images to obtain emission-area image intensities; and e) combining the emission-area image intensities from the n 2 sparse object images to form the super-resolution image of the object.