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- Title
A novel Bayesian functional spatial partitioning method with application to prostate cancer lesion detection using MRI.
- Authors
Masotti, Maria; Zhang, Lin; Leng, Ethan; Metzger, Gregory J.; Koopmeiners, Joseph S.
- 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.
- Subjects
ENDORECTAL ultrasonography; EARLY detection of cancer; PROSTATE cancer; MAGNETIC resonance imaging; DATA distribution; MARKOV chain Monte Carlo
- Publication
Biometrics, 2023, Vol 79, Issue 2, p604
- ISSN
0006-341X
- Publication type
Article
- DOI
10.1111/biom.13602