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Scattering And Absorption of Light in Planetary Regoliths

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Published on: July 1, 2019

Forward and inverse problems for symmetric starbursts.

Jacob Rubinstein

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|March 17, 2026

Summary

Visual starbursts, caused by eye aberrations, are geometrically characterized for two aberration function families. This research enables estimating high-order aberrations from observed starbursts.

Area of Science:

Optics
Vision Science
Computational Imaging

Background:

Visual starbursts are perceptual phenomena resulting from optical aberrations in the human eye, particularly noticeable with dilated pupils viewing bright lights.
Understanding these aberrations is crucial for diagnosing visual disturbances and improving optical system design.

Purpose of the Study:

To provide a complete geometrical characterization of visual starbursts for two specific families of symmetric aberration functions.
To develop a theoretical framework for solving the inverse problem of estimating high-order optical aberrations from observed starburst patterns.

Main Methods:

Analysis of starbursts generated by homogeneous polynomial aberration functions.
Investigation of starbursts arising from aberration functions invariant under specific rotational symmetries (2π/q).

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Application of geometrical characterization to solve the inverse problem.

Main Results:

A comprehensive geometrical characterization of starburst patterns was achieved for both aberration function families.
The study establishes a direct link between specific aberration function symmetries and the resulting starburst geometry.
The developed theory successfully demonstrates the potential for estimating high-order aberrations from visual starbursts.

Conclusions:

The geometrical characterization provides a fundamental understanding of visual starbursts and their relationship to ocular aberrations.
This work offers a novel approach to non-invasively estimate high-order eye aberrations, potentially aiding in clinical diagnostics and personalized vision correction.
The findings pave the way for future research in advanced optical metrology and visual perception modeling.