title: NONLINEAR TUBE-FITTING FOR THE ANALYSIS OF ANATOMICAL AND FUNCTIONAL STRUCTURES.
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).
authors.affiliation: Johns Hopkins Bloomberg School of Public Health, Johns Hopkins Bloomberg School of Public Health, Johns Hopkins Bloomberg School of Public Health, National Institutes of Health, Johns Hopkins School of Medicine and Johns Hopkins School of Medicine.
authors.forename: Jeff
authors.initials: J
authors.lastname: Goldsmith
authors.forename: Brian
authors.initials: B
authors.lastname: Caffo
authors.forename: Ciprian
authors.initials: C
authors.lastname: Crainiceanu
authors.forename: Daniel
authors.initials: D
authors.lastname: Reich
authors.forename: Yong
authors.initials: Y
authors.lastname: Du
authors.forename: Craig
authors.initials: C
authors.lastname: Hendrix