How can one sample images with sampling rates close to the theoretical minimum?

TL;DR

This paper introduces a sampling theory-based method for digital image acquisition that minimizes measurements while maintaining accuracy, approaching the theoretical sampling limit, with experimental validation and potential extensions.

Contribution

It proposes a novel sampling and reconstruction method that nearly achieves the minimal sampling rate dictated by sampling theory.

Findings

Method approaches the theoretical minimum sampling rate.

Experimental results validate the effectiveness of the proposed approach.

Potential for extending the method to various imaging applications.

Abstract

A problem is addressed of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy. A sampling theory based method of image sampling and reconstruction is suggested that allows to draw near the minimal rate of image sampling defined by the sampling theory. Presented and discussed are also results of experimental verification of the method and its possible applicability extensions.