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Classification of Aortic Shape with Topographical Pair Correlation Functions.

Cooper Bruno1, Tiago Cecchi1, Joseph A Pugar2

  • 1Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213, USA.

Arxiv
|December 3, 2025
PubMed
Summary
This summary is machine-generated.

A new topographical pair correlation function (TPCF) analyzes aortic shape from CT scans. This method accurately predicts aortic dissection and thoracic endovascular repair (TEVAR) success, improving disease diagnosis.

Keywords:
Image analysisaortacoherence tomographyimage meshmachine learningpair correlation functionpathology

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Area of Science:

  • Medical imaging analysis
  • Computational anatomy
  • Cardiovascular diagnostics

Background:

  • Quantitative descriptors of medical images aid in diagnosing conditions like aortic dissections.
  • Aortic shape analysis, particularly of the true and false lumens, is crucial for predicting disease state and outcomes of thoracic endovascular repair (TEVAR).

Purpose of the Study:

  • To introduce a novel method, the topographical pair correlation function (TPCF), for quantifying aortic shape from medical images.
  • To extract quantitative features from TPCF curves for improved disease classification and prediction of TEVAR success.

Main Methods:

  • Developed a method to calculate the TPCF, describing spatial correlations of Gaussian curvature, mean curvature, shape index, and bending ratio on a meshed image surface.
  • Applied TPCF as a metric for aortic shape analysis and extracted features from the resulting correlation curves.
  • Utilized TPCF parameterized by shape index for classification tasks.

Main Results:

  • The TPCF, when parameterized by shape index, achieved a 0.95 area under the curve for classifying disease presence and/or impending TEVAR success.
  • Features extracted from the TPCF demonstrated superior performance compared to single-point statistics in classifying aortic disease states.
  • The TPCF effectively captures structural correlations in anatomical data.

Conclusions:

  • The TPCF is a powerful tool for quantitative shape analysis in medical imaging, particularly for the aorta.
  • This method offers improved diagnostic capabilities for aortic dissections and prediction of treatment outcomes.
  • TPCF analysis holds broad potential for characterizing structural correlations in diverse anatomical datasets.