A frequency domain reconstruction of SIM image using four raw images

This work is a result of an exploration in response to the following observation: though reconstruction methodology of SIM image since its origin is carried out in frequency domain, recent works in this field, specially when it comes to SIM reconstruction using lesser than 9 raw images, have ventured into reconstruction methodologies that operate directly in the spatial domain. This work formulates and demonstrates a frequency domain reconstruction of SIM image using four raw images – one wide-field image and three SIM images. One of the chief feature of the presented reconstruction algorithm is that it employs the standard ‘tools and tricks’ used by the conventional 9-frame SIM reconstruction algorithm. Results indicate that the presented reconstruction algorithm provides high resolution reconstructions successfully as long as the noise level in the raw images is lower than 10%. For higher level of noise, the reconstruction result shows little resolution enhancement.