Intrinsic geometry-inspired dependent toroidal distribution: application to regression model for astigmatism data

Key Points

• Astigmatism data showed enhanced fitting using a toroidal distribution model, surpassing traditional methods.
• The new approach yielded a significant reduction in modeling error, particularly for complex astigmatism cases.
• Analytical methods based on intrinsic geometry were effectively applied to develop the regression model.
• The findings support the utility of geometric insights for better modeling astigmatism, highlighting innovative statistical techniques.