2023
DOI: 10.1080/00401706.2023.2203744
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Feature Detection and Hypothesis Testing for Extremely Noisy Nanoparticle Images using Topological Data Analysis

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Cited by 2 publications
(2 citation statements)
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“…Recent work has established the utility of incorporating multiple types of topological and geometric information derived from persistence diagrams of various filtrations of images to improve predictive capabilities of machine learning models. 19 Two such filtrations are the height 19,20 and greyscale 21-24 filtrations. In the case of the height filtration an image is first binarized at some fixed threshold and the evolution of shape is examined as the black pixels are unveiled along on a given direction in the image— see Figure 1 .…”
Section: Methodsmentioning
confidence: 99%
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“…Recent work has established the utility of incorporating multiple types of topological and geometric information derived from persistence diagrams of various filtrations of images to improve predictive capabilities of machine learning models. 19 Two such filtrations are the height 19,20 and greyscale 21-24 filtrations. In the case of the height filtration an image is first binarized at some fixed threshold and the evolution of shape is examined as the black pixels are unveiled along on a given direction in the image— see Figure 1 .…”
Section: Methodsmentioning
confidence: 99%
“…29 Finally, the trimmed mean ‘ tmean ’ and trimmed variance ‘ tvar ’ of pixel intensities, the aspect ratio ‘ ratio ’ of images and two additional persistence statistics ‘ alps_grey ’ and ‘ alps_bd ’ were derived from each image. The ALPS statistic 24 ‘ alps_grey ’ was calculated for the greyscale filtration after smoothing the image with σ = 2. To reduce the risk of a saturated model, the 910 radiomics features and 180 topological features were projected onto their first two principal components, denoted as ‘ rad_pca1 ’, ‘ rad_pca2 ’, ‘ tda_pca1 ’, and ‘ tda_pca2 ’ respectively.…”
Section: Methodsmentioning
confidence: 99%