Corrected parabolic fitting for height extraction in confocal microscopy

Jun-Cheng Chen, Jian Wang, Richard Leach, Wenlong Lu, Xiaojun Liu, Xiangqian Jiang

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


Accurate and reliable peak extraction of axial response signals plays a critical role in confocal microscopy. For axial response signal processing, nonlinear fitting algorithms, such as parabolic, Gaussian or sinc 2 fitting may cause significant systematic peak extraction errors. Also, existing error compensation methods require a priori knowledge of the full-width-at-half-maximum of the axial response signal, which can be difficult to obtain in practice. In this paper, we propose a generalised error compensation method for peak extraction from axial response signals. This full-width-at-half-maximum-independent method is based on a corrected parabolic fitting algorithm. With the corrected parabolic fitting algorithm, the systematic error of a parabolic fitting is characterised using a differential equation, following which, the error is estimated and compensated by solving this equation with a first-order approximation. We demonstrate, by Monte Carlo simulations and experiments with various axial response signals with symmetrical and asymmetrical forms, that the corrected parabolic fitting algorithm has significant improvements over existing algorithms in terms of peak extraction accuracy and precision.

Original languageEnglish
Pages (from-to)3682-3697
Number of pages16
JournalOptics Express
Issue number3
Early online date1 Feb 2019
Publication statusPublished - 4 Feb 2019


Dive into the research topics of 'Corrected parabolic fitting for height extraction in confocal microscopy'. Together they form a unique fingerprint.

Cite this