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

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 wavelet square partition functions from the 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 different implosion images.