Nonlinear tube-fitting for the analysis of anatomical and functional structures

Jeff Goldsmith, Brian S Caffo, Ciprian M Crainiceanu, Daniel Reich, Yong Du, Craig Hendrix

Research output: Contribution to journalArticle

Abstract

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).

Original languageEnglish (US)
Pages (from-to)337-363
Number of pages27
JournalAnnals of Applied Statistics
Volume5
Issue number1
DOIs
StatePublished - Mar 2011

Fingerprint

Tube
Diffusion tensor imaging
Single photon emission computed tomography
Computed Tomography
Three-dimension
Brain
Photon
Interior
Degradation
Tensor
Imaging
Simulation Study
Distinct
Estimator

Keywords

  • DTI
  • Medical imaging
  • Nonlinear curve estimation
  • Principal curves
  • SPECT
  • Support estimation

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Modeling and Simulation
  • Statistics and Probability

Cite this

Nonlinear tube-fitting for the analysis of anatomical and functional structures. / Goldsmith, Jeff; Caffo, Brian S; Crainiceanu, Ciprian M; Reich, Daniel; Du, Yong; Hendrix, Craig.

In: Annals of Applied Statistics, Vol. 5, No. 1, 03.2011, p. 337-363.

Research output: Contribution to journalArticle

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