Multiresolution Analysis Techniques to Isolate, Detect and Characterize Morphologically Diverse Features of Structured ICF Capsule Implosions

TL;DR

This paper introduces advanced harmonic analysis techniques, including wavelets, curvelets, and WaSP functions, to analyze high-energy X-ray radiographs of ICF capsule implosions, enabling detailed characterization of morphological features.

Contribution

It presents novel multiresolution analysis methods for isolating and quantifying diverse features in implosion radiographs, improving comparison and understanding of implosion symmetry degradation.

Findings

Effective isolation of morphological features using wavelets, curvelets, and WaSP functions.

Quantitative metrics for comparing implosion images over time and with simulations.

Enhanced analysis of symmetry degradation in ICF capsule implosions.

Abstract

In order to capture just how nonuniform and degraded the symmetry may become of an imploding inertial confinement fusion capsule one may resort to the analysis of high energy X ray point projection backlighting generated radiographs. Here we show new results for such images by using methods of modern harmonic analysis which involve different families of wavelets, curvelets and WaSP (wavelet square partition) functions from geometric measure theory. Three different methods of isolating morphologically diverse features are suggested together with statistical means of quantifying their content for the purposes of comparing the same implosion at different times, to simulations and to different implosion images.