Abstract
We tested different optical elements placed in three different positions by applying the irradiance transport equation (ITE), obtaining the wavefront $[ W(x,y) ]$ and aberration surface [$ \textit{AS}(r,\theta ) $]. The existing noise in the captures $ I $ as well as in the $ W $ and $ AS $ were analyzed applying several filters: first a filter based on Legendre polynomials (LP), generating the most probable points increasing the data resolution; second, a filter based on a 50 deg 2D-LP was used as a multilineal fit (multiple linear regression); and third, an ideal bandpass filter in the Fourier space after inducing a periodicity using Ronchi simulated masks with periods in $ x,y,xy $ was used to perform data scanning (similar to the four-step phase-shifting method). Signal-to-noise ratio values were obtained for each proposed filter along with the most probable image free from noise, determined from a linear combination of the original data and the applied filters.
© 2020 Optical Society of America
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15 June 2020: [Code 1] and [Code 2] were added to this paper. See [Supplement 1] for supporting content.
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