Astigmatism – Pr. Damien Gatinel

Combined astigmatism calculator & visualiser

Tue, 09 Jun 2026 11:58:34 +0000

This vectorial-analysis tool combines several astigmatism components — corneal, lenticular and residual — to derive the power and axis of the resulting cylinder. It provides both a numerical result and a graphical representation, which makes toric-IOL planning and cross-cylinder calculations easier. The often tricky operations of combining oblique cylinders are thus simplified while keeping rigorous mathematical accuracy.

Key features

Vectorial addition and subtraction of cylinders
Combination of corneal, lenticular and residual astigmatism
Assistance with toric-IOL planning
Handling of crossed and oblique cylinders
Double-angle plot representation
2D and 3D vectorial visualisation and sinusoidal modelling

Optimal rotation calculator for toric IOLs

Tue, 09 Jun 2026 11:58:31 +0000

This interactive tool computes and illustrates the optimal rotation angle of a toric IOL to minimise residual astigmatism after surgery. It relies on a full vectorial analysis (J0/J45) and converts the toric power between the IOL plane and the corneal plane from the effective lens position (ELP). Designed as a decision-support and teaching aid, it is intended for cataract surgeons.

Key features

Optimisation of the angle θ to minimise residual cylinder and target the intended spherical equivalent
IOL-to-cornea toric conversion via the effective lens position (ELP)
Model based on the Gatinel Q-ratio and vergence
Frontal and surgical views of the IOL positioning
Associated optimisation curves and profiles
Vectorial representation of astigmatism (J0/J45 components)

Optimal rotation calculator for toric phakic IOLs

Tue, 09 Jun 2026 11:58:29 +0000

This interactive tool determines and visualises the optimal rotation angle of a toric phakic IOL (of the ICL, IPCL or similar type) to minimise residual astigmatism after surgery. It performs a full vectorial analysis of the corneal and lens astigmatism in J0/J45 notation, and converts the toric power between the IOL plane and the corneal plane while accounting for the distance between these two planes (equivalent to the effective lens position, ELP). Designed as a decision-support and teaching aid, it is intended for refractive surgeons performing phakic implantation.

Key features

Optimisation of the angle θ for minimal cylinder and a targeted spherical equivalent (SE)
Phakic-IOL-to-cornea toric conversion incorporating the ELP (Gatinel Q-ratio and vergence)
Vectorial astigmatism analysis in J0/J45 notation
Frontal and surgical views, optimisation curves and profiles
Dedicated to ICL, IPCL and similar toric phakic IOLs