Image Distinguishability Analysis Testing Through Principal Components and Its Application to Hot Spot Scale Invariance

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Autores principales: Matthew P. Kroonblawd, Amitesh Maiti, Laurence E. Fried
Formato: Artículo Open Access
Publicado: Wiley 2026
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author Matthew P. Kroonblawd
Amitesh Maiti
Laurence E. Fried
author_facet Matthew P. Kroonblawd
Amitesh Maiti
Laurence E. Fried
Matthew P. Kroonblawd
Amitesh Maiti
Laurence E. Fried
collection Wiley Open Access
contents Image Distinguishability Analysis Testing Through Principal Components and Its Application to Hot Spot Scale Invariance Matthew P. Kroonblawd Amitesh Maiti Laurence E. Fried Propellants, Explosives, Pyrotechnics ABSTRACT Hot spots are spatial regions of intense energy localization that govern initiation of secondary high explosives. Studies that characterize or compare simulated hot spots are frequently either qualitatively descriptive or resort to quantitative distribution functions that neglect stochastic variations and spatial correlations—effects that are also neglected in common comparison tests like the Kolmogorov–Smirnov test. To this end, we develop an image distinguishability analysis (IDA) test based on principal component (PC) analysis that makes pixel‐by‐pixel comparisons between small, for example, O(10), image data sets. The IDA test makes comparisons through a generalized distance metric in the PC space and a test statistic that is derived to calculate ‐values. We derive a statistical distribution and criticality criterion to determine whether images are distinguishable from established baselines. We apply the IDA test on images generated from molecular dynamics simulations of hot spots from pore collapse in TATB to assess scale invariance in the complex patterns of hot spots that form in a representative high explosive crystal. The IDA test shows that TATB hot spot spatial temperature fields and their derived temperature histograms exhibit scale‐invariant features over specific intervals of shock orientation, strength, and initial pore diameter. However, the IDA test also shows that qualitatively different conclusions regarding invariance can be reached depending on whether the hot spot is treated as a spatially correlated field as opposed to a distribution function that lacks spatial information. 10.1002/prep.70140 http://onlinelibrary.wiley.com/termsAndConditions#vor
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spellingShingle Image Distinguishability Analysis Testing Through Principal Components and Its Application to Hot Spot Scale Invariance
Matthew P. Kroonblawd
Amitesh Maiti
Laurence E. Fried
Propellants, Explosives, Pyrotechnics
Image Distinguishability Analysis Testing Through Principal Components and Its Application to Hot Spot Scale Invariance Matthew P. Kroonblawd Amitesh Maiti Laurence E. Fried Propellants, Explosives, Pyrotechnics ABSTRACT Hot spots are spatial regions of intense energy localization that govern initiation of secondary high explosives. Studies that characterize or compare simulated hot spots are frequently either qualitatively descriptive or resort to quantitative distribution functions that neglect stochastic variations and spatial correlations—effects that are also neglected in common comparison tests like the Kolmogorov–Smirnov test. To this end, we develop an image distinguishability analysis (IDA) test based on principal component (PC) analysis that makes pixel‐by‐pixel comparisons between small, for example, O(10), image data sets. The IDA test makes comparisons through a generalized distance metric in the PC space and a test statistic that is derived to calculate ‐values. We derive a statistical distribution and criticality criterion to determine whether images are distinguishable from established baselines. We apply the IDA test on images generated from molecular dynamics simulations of hot spots from pore collapse in TATB to assess scale invariance in the complex patterns of hot spots that form in a representative high explosive crystal. The IDA test shows that TATB hot spot spatial temperature fields and their derived temperature histograms exhibit scale‐invariant features over specific intervals of shock orientation, strength, and initial pore diameter. However, the IDA test also shows that qualitatively different conclusions regarding invariance can be reached depending on whether the hot spot is treated as a spatially correlated field as opposed to a distribution function that lacks spatial information. 10.1002/prep.70140 http://onlinelibrary.wiley.com/termsAndConditions#vor
title Image Distinguishability Analysis Testing Through Principal Components and Its Application to Hot Spot Scale Invariance
topic Propellants, Explosives, Pyrotechnics
url https://onlinelibrary.wiley.com/doi/10.1002/prep.70140