Wavefront reconstruction using iterative Fourier transforms

Roddier, F.; Roddier, C.

doi:10.1364/ao.30.001325

Cited by 189 publications

(100 citation statements)

References 10 publications

Supporting

Mentioning

100

Contrasting

Order By: Relevance

“…A further improvement has been described by Zou and Rolland by using Gerchberg-type iterations [23][24][25] in [14], which is adopted in this paper and will be described in the following.…”

Section: B Gerchberg-type Iterationsmentioning

confidence: 99%

Generalized zonal wavefront reconstruction for high spatial resolution in lateral shearing interferometry

et al. 2012

View full text Add to dashboard Cite

A new zonal wavefront reconstruction method for lateral shearing interferometry was presented. The proposed algorithm allows shear amounts equal to arbitrary integral multiple of the sample intervals. High spatial resolution reconstruction is achieved with only two difference wavefronts measured in orthogonal shear directions. The presented algorithm was generalized to be applicable for general aperture shape by using zero padding and Gerchberg-type iterative methods. The capability of the presented algorithm was demonstrated by some numerical examples. Also, the reconstruction error was analyzed theoretically and numerically.

show abstract

“…A further improvement has been described by Zou and Rolland by using Gerchberg-type iterations [23][24][25] in [14], which is adopted in this paper and will be described in the following.…”

Section: B Gerchberg-type Iterationsmentioning

confidence: 99%

Generalized zonal wavefront reconstruction for high spatial resolution in lateral shearing interferometry

et al. 2012

View full text Add to dashboard Cite

show abstract

“…Wavefront reconstruction was obtained using a Gerchberg-type algorithm (GA) -an iterative, discrete Fourier transform domain filtering technique [1]. The GA exploits the fact that a Laplacian in object space is proportional to a multiplication by the angular frequency squared (u 2 + v 2 ) in Fourier space.…”

Section: Wavefront Retrievalmentioning

confidence: 99%

“…In this paper we present a curvature wavefront sensor for the eye. The layout proposed is novel, whilst the algorithm used has been adapted from previously published work [1]. The design of the set-up incorporates two field lenses that, together with a beam separator, define the distance ∆z between the two defocused planes.…”

mentioning

confidence: 99%

“…In this paper we describe an alternative implementation of a CS not previously applied to the eye, together with a reconstruction algorithm [1] similar to that in reference [16], but using two defocused images instead of only one. The aim of this paper is to describe this implementation, show calibration data and to show that the quality of the signal permits our algorithm to reconstruct wavefronts that are in line with expectations when comparing them with the subjects' known prescriptions.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Wavefront curvature sensing for the human eye

Torti

Gruppetta

Diaz-Santana

2008

Journal of Modern Optics

View full text Add to dashboard Cite

This is the unspecified version of the paper.This version of the publication may differ from the final published version. In this paper we present a curvature wavefront sensor for the eye. The layout proposed is novel, whilst the algorithm used has been adapted from previously published work [1]. The design of the set-up incorporates two field lenses that, together with a beam separator, define the distance ∆z between the two defocused planes. We present a feasibility study to use this particular combination of optical configuration and retrieval algorithm in the eye. We present calibration curves and results from three real eyes. Permanent

show abstract

“…This is done by using a Gershberg-type algorithm. 6 The algorithm sets constraints to the wavefront at each iteration, both in the direct space and in the Fourier space. In the direct space, ∂W/∂x and ∂W/∂y are computed from the approximate wavefront W in a narrow band outside the signal boundaries and then ∂W/∂n is set equal to zero so that only the tangential component of the gradient remains in this band.…”

Section: Since the Laplacian Operator ∇mentioning

confidence: 99%