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A novel Bayesian functional spatial partitioning method with application to prostate cancer lesion detection using MRI

Author

Listed:
  • Maria Masotti
  • Lin Zhang
  • Ethan Leng
  • Gregory J. Metzger
  • Joseph S. Koopmeiners

Abstract

Spatial partitioning methods correct for nonstationarity in spatially related data by partitioning the space into regions of local stationarity. Existing spatial partitioning methods can only estimate linear partitioning boundaries. This is inadequate for detecting an arbitrarily shaped anomalous spatial region within a larger area. We propose a novel Bayesian functional spatial partitioning (BFSP) algorithm, which estimates closed curves that act as partitioning boundaries around anomalous regions of data with a distinct distribution or spatial process. Our method utilizes transitions between a fixed Cartesian and moving polar coordinate system to model the smooth boundary curves using functional estimation tools. Using adaptive Metropolis‐Hastings, the BFSP algorithm simultaneously estimates the partitioning boundary and the parameters of the spatial distributions within each region. Through simulation we show that our method is robust to shape of the target zone and region‐specific spatial processes. We illustrate our method through the detection of prostate cancer lesions using magnetic resonance imaging.

Suggested Citation

  • Maria Masotti & Lin Zhang & Ethan Leng & Gregory J. Metzger & Joseph S. Koopmeiners, 2023. "A novel Bayesian functional spatial partitioning method with application to prostate cancer lesion detection using MRI," Biometrics, The International Biometric Society, vol. 79(2), pages 604-615, June.
    • Handle: RePEc:bla:biomet:v:79:y:2023:i:2:p:604-615
    DOI: 10.1111/biom.13602
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    References listed on IDEAS

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