Corneal surface reconstruction algorithm that uses Zernike polynomial representation

Victor Arni D. P. Sicam; Joris Coppens; Tom J. T. P. van den Berg; Rob G. L. van der Heijde

doi:10.1364/JOSAA.21.001300

Journal of the Optical Society of America A
Vol. 21,
Issue 7,
pp. 1300-1306
(2004)
•https://doi.org/10.1364/JOSAA.21.001300

Corneal surface reconstruction algorithm that uses Zernike polynomial representation

Victor Arni D. P. Sicam, Joris Coppens, Tom J. T. P. van den Berg, and Rob G. L. van der Heijde

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Victor Arni D. P. Sicam, Joris Coppens, Tom J. T. P. van den Berg, and Rob G. L. van der Heijde, "Corneal surface reconstruction algorithm that uses Zernike polynomial representation," J. Opt. Soc. Am. A 21, 1300-1306 (2004)

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Abstract

We developed an algorithm that directly determines Zernike coefficients for the corneal anterior surface derived from the reflection image of a stimulus with pseudorandom encoding. This algorithm does not need to include calculation of corneal height maps. The numerical performance of the algorithm is good. It has the potential of determining corneal shape with submicrometer accuracy in obtaining Zernike coefficients. When applied to real eye measurements the accuracy of the procedure will be limited by the topographer that is used.

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Pupil Diameter (mm)	Reconstructed r (mm)	Reconstructed k
7	6.9999	1.00
8	6.9997	1.00
9	6.9988	0.99
10	6.9947	0.95
11	6.9776	0.82

Pupil Diameter (mm)	Reconstructed r (mm)	Reconstructed k
7	7.8700	0.82
8	7.8700	0.82
9	7.8699	0.82
10	7.8696	0.82
11	7.8688	0.81

Corneal Astigmatism (D)	Reconstructed $C_{2}^{0}$ ^(b) (μm)	Theoretical $C_{2}^{- 2}$ (μm)	Reconstructed $C_{2}^{- 2}$
0.5	288.6889	2.43	2.44
1.0	288.6890	4.86	4.88
1.5	288.6892	7.29	7.32
2.0	288.6894	9.72	9.77

Reconstructed $C_{2}^{0}$ ^(b) (μm)	Theoretical $C_{8}^{- 8}$ (μm)	Reconstructed $C_{8}^{- 8}$
288.6891	2.43	2.49
288.6894	4.86	4.97
288.6901	7.29	7.46
288.6910	9.72	9.94

Measured r (mm)	Theoretical k	Reconstructed r (mm)	Reconstructed k
5.999	1.00	$6.004 \pm 0.008$	$1.14 \pm 0.05$
6.998	1.00	$6.999 \pm 0.003$	$0.99 \pm 0.02$
8.000	1.00	$7.993 \pm 0.006$	$0.93 \pm 0.05$
9.000	1.00	$8.998 \pm 0.006$	$0.99 \pm 0.03$
9.976	1.00	$9.982 \pm 0.014$	$1.06 \pm 0.06$

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Journal of the Optical Society of America A