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Centre symmetry sets of families of plane curves

Giblin P. J., Reeve G.

Demonstratio Mathematica

2015

Vol. 48, nr 2

167--192

We study centre symmetry sets and equidistants for a 1-parameter family of plane curves where, for a special member of the family, there exist two inflexions with parallel tangents. Some results can be obtained by reducing a generating family to normal forms, but others require direct calculation from the generating family.

Presence of spherical aberration in the reference as a possible source of variations in magnitude of measured ocular aberrations

Karitans V., Ozolinsh M., Luse K., Ekimane L.

Optica Applicata

2012

Vol. 42, nr 3

519-532

Different aberrometry methods exist and the magnitude of measured wavefront aberrations may differ depending on the method used. Even several Shack-Hartmann wavefront sensors may demonstrate clinically significant differences between ocular aberrations measured. In this study, we tested a hypothesis that a possible source of systematic error in Shack-Hartmann aberrometry may be the presence of spherical aberration in the wavefront used for calibrating the Shack-Hartmann wavefront sensor. Six subjects participated in the study. The Shack-Hartmann wavefront sensor was calibrated by using a spherical and an aspheric lens. Statistically significant changes in wavefront aberrations were observed when comparing both references. Clinically significant changes in magnitude of spherical aberration were also observed. We conclude that for precise measurement of aberrations the use of an aspheric lens for wavefront sensor calibration is essential and different sphericity of the wavefront used for calibration purposes may give rise to variability between wavefront data measured by different Shack-Hartmann wavefront sensors.