Weighted Zernike polynomial fitting in steep corneas sampled in Cartesian grid

Espinosa, Julián; Pérez, Jorge; Mas, David; Illueca, Carlos

doi:10.1080/09500340.2011.556263

Cited by 4 publications

(1 citation statement)

References 18 publications

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“…In [11], the authors propose applying weighted least-squares regression that compensates the unequal influence of sectors due to the sampling distribution. They argue that traditional least-squares fitting on an optical surface does not pay attention to the particular sampling distribution of the analyzed surfaces.…”

Section: Resultsmentioning

confidence: 99%

Open-access operating algorithms for commercial videokeratographer and improvement of corneal sampling

et al. 2013

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We present an algorithm to process images of reflected Placido rings captured by a commercial videokeratoscope. Raw data are obtained with no Cartesian to polar coordinates conversion, thus avoiding interpolation and associated numerical artefacts. The method provides a characteristic equation for the device and is able to process around 6 times more corneal data than the commercial softwares. Our proposal allows complete control over the whole process from the capture of corneal images until the computation of curvature radii.

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Section: Resultsmentioning

confidence: 99%

Open-access operating algorithms for commercial videokeratographer and improvement of corneal sampling

et al. 2013

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Automatic elimination of phase aberrations in digital holography based on Gaussian 1σ- criterion and histogram segmentation

Chen¹,

Zhou²,

Duan³

et al. 2023

Opt. Express

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We propose a numerical and automatic quadratic phase aberration elimination method in digital holography for phase-contrast imaging. A histogram segmentation method based on Gaussian 1σ-criterion is used to obtain the accurate coefficients of quadratic aberrations using the weighted least-squares algorithm. This method needs no manual intervention for specimen-free zone or prior parameters of optical components. We also propose a maximum-minimum-average-standard deviation (MMASD) metric to quantitatively evaluate the effectiveness of quadratic aberration elimination. Simulation and experimental results are demonstrated to verify the efficacy of our proposed method over the traditional least-squares algorithm.

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Phase aberration adaptive compensation in digital holography based on phase imitation and metric optimization

Chen¹,

Zhou²,

Yu³

2023

Opt. Express

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We proposed a numerical and accurate quadratic phase aberration compensation method in digital holography. A phase imitation method based on Gaussian 1σ-criterion is used to obtain the morphological features of the object phase using partial differential, filtering and integration successively. We also propose an adaptive compensation method based on a maximum-minimum-average- α-standard deviation (MMAαSD) evaluation metric to obtain optimal compensated coefficients by minimizing the above metric of the compensation function. The effectiveness and robustness of our method are demonstrated by simulation and experiments.

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Weighted Zernike polynomial fitting in steep corneas sampled in Cartesian grid

Cited by 4 publications

References 18 publications

Open-access operating algorithms for commercial videokeratographer and improvement of corneal sampling

Open-access operating algorithms for commercial videokeratographer and improvement of corneal sampling

Automatic elimination of phase aberrations in digital holography based on Gaussian 1σ- criterion and histogram segmentation

Phase aberration adaptive compensation in digital holography based on phase imitation and metric optimization

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