Open Access
March 2011 Nonlinear tube-fitting for the analysis of anatomical and functional structures
Jeff Goldsmith, Brian Caffo, Ciprian Crainiceanu, Daniel Reich, Yong Du, Craig Hendrix
Ann. Appl. Stat. 5(1): 337-363 (March 2011). DOI: 10.1214/10-AOAS384


We are concerned with the estimation of the exterior surface and interior summaries of tube-shaped anatomical structures. This interest is motivated by two distinct scientific goals, one dealing with the distribution of HIV microbicide in the colon and the other with measuring degradation in white-matter tracts in the brain. Our problem is posed as the estimation of the support of a distribution in three dimensions from a sample from that distribution, possibly measured with error. We propose a novel tube-fitting algorithm to construct such estimators. Further, we conduct a simulation study to aid in the choice of a key parameter of the algorithm, and we test our algorithm with validation study tailored to the motivating data sets. Finally, we apply the tube-fitting algorithm to a colon image produced by single photon emission computed tomography (SPECT) and to a white-matter tract image produced using diffusion tensor imaging (DTI).


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Jeff Goldsmith. Brian Caffo. Ciprian Crainiceanu. Daniel Reich. Yong Du. Craig Hendrix. "Nonlinear tube-fitting for the analysis of anatomical and functional structures." Ann. Appl. Stat. 5 (1) 337 - 363, March 2011.


Published: March 2011
First available in Project Euclid: 21 March 2011

zbMATH: 1220.62135
MathSciNet: MR2810400
Digital Object Identifier: 10.1214/10-AOAS384

Keywords: DTI , medical imaging , nonlinear curve estimation , Principal curves , SPECT , support estimation

Rights: Copyright © 2011 Institute of Mathematical Statistics

Vol.5 • No. 1 • March 2011
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