Shape analysis based on depth-ordering

• Published in: Medical image analysis Vol. 25; no. 1; pp. 2 - 10
• Main Authors: Hong, Yi, Gao, Yi, Niethammer, Marc, Bouix, Sylvain
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01.10.2015
• Subjects: Algorithms; Brain - pathology; Case-Control Studies; Depth-ordering of shape; Female; Global analysis; Humans; Image Interpretation, Computer-Assisted - methods; Imaging, Three-Dimensional - methods; Local analysis; Magnetic Resonance Imaging; Male; Neuroimaging - methods; Reproducibility of Results; Schizophrenia - pathology; Sensitivity and Specificity; Shape analysis; Shape analysis; Depth-ordering of shape; Local analysis; Global analysis
• ISSN: 1361-8415; 1361-8423; 1361-8423
• DOI: 10.1016/j.media.2015.04.004

•We propose using depth-ordering on shapes for statistical shape analysis.•We develop an algorithm for the fast computation of band-depth for shapes as binary functions.•We define statistical tests to detect potential global and local differences between shape populations.•We provide the directionality of shape differences to augment local measurements. [Display omitted] 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.