title: Shape analysis based on depth-ordering.
abstract: In this paper we propose a new method for shape analysis based on the ordering of shapes using band-depth. We use this band-depth to non-parametrically define a global depth for a shape with respect to a reference population, typically consisting of normal control subjects. This allows us to globally quantify differences with respect to "normality". Using the depth-ordering of shapes also allows the detection of localized shape differences by using α-central values of shapes. We propose permutation tests to statistically assess global and local shape differences. We further determine the directionality of shape differences (local inflation versus deflation). The method is evaluated on a synthetically generated striatum dataset, and applied to detect shape differences in the hippocampus between subjects with first-episode schizophrenia and normal controls.
authors.affiliation: Department of Computer Science, University of North Carolina (UNC) at Chapel Hill, NC, USA. Electronic address: yihong@cs.unc.edu.
authors.forename: Yi
authors.initials: Y
authors.lastname: Hong
authors.affiliation: Department of Biomedical Informatics, Stony Brook University, Stony Brook, NY, USA.
authors.forename: Yi
authors.initials: Y
authors.lastname: Gao
authors.affiliation: Department of Computer Science, University of North Carolina (UNC) at Chapel Hill, NC, USA; Biomedical Research Imaging Center, UNC-Chapel Hill, NC, USA.
authors.forename: Marc
authors.initials: M
authors.lastname: Niethammer
authors.affiliation: Psychiatry Neuroimaging Laboratory, Brigham and Women's Hospital, Harvard Medical School, Boston, MA, USA.
authors.forename: Sylvain
authors.initials: S
authors.lastname: Bouix
mesh_terms: D000465:Algorithms; D001921:Brain / Q000473:pathology*; D016022:Case-Control Studies; D005260:Female; D006801:Humans; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008279:Magnetic Resonance Imaging; D008297:Male; D059906:Neuroimaging / Q000379:methods*; D015203:Reproducibility of Results; D012559:Schizophrenia / Q000473:pathology*; D012680:Sensitivity and Specificity
keywords: Depth-ordering of shape; Global analysis; Local analysis; Shape analysis