Reconstruction of Continuous Image Using Maximum Likelihood Estimates from Grouped Data for Measuring Light Intensity and Interpolation by Atomic Functions According to Aperture of Photosensitive Element of Sensor

摘要

This paper considers the optical signal acquired by a digital camera as a continuous function varying in the spatial domain that uses the light intensity distribution to carry information. Two consistently applied techniques for representing a digital image as a continuous approximation to the original signal values are presented. The quantized light intensity is considered as grouped data. The maximum likelihood method on the grouped data can get the best estimate of the original analog value of the light intensity for each photosensitive element of the sensor. The intensity of light, measured by each photosensitive element, is considered as the double integral of the original optical signal over the region defined by the aperture of the element. Interpolation by atomic functions can use the integrated data to produce an approximation of the original continuous function, which is an optical signal.