@CONFERENCE\{IMM2002-0852, author = "R. Larsen and K. B. Hilger and M. C. Wrobel", title = "Statistical {2D} and {3D} shape analysis using Non-Euclidean Metrics", year = "2002", keywords = "maximum autocorrelation factors, maximum noise fractions, shape analysis, growth modelling", booktitle = "Medical Image Computing and Computer-Assisted Intervention - {MICCAI} 2002, 5th Int. Conference, Tokyo, Japan", volume = "", series = "Lecture Notes in Computer Science", editor = "", publisher = "Springer", organization = "", address = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/852-full.html", abstract = "We address the problem of extracting meaningful, uncorrelated biological modes of variation from tangent space shape coordinates in {2D} and {3D} using non-Euclidean metrics. We adapt the maximum autocorrelation factor analysis and the minimum noise fraction transform to shape decomposition. Furthermore, we study metrics based on repated annotations of a training set. We define a way of assessing the correlation between landmarks contrary to landmark coordinates. Finally, we apply the proposed methods to a {2D} data set consisting of outlines of lungs and a {3D}/(4D) data set consisting of sets of mandible surfaces. In the latter case the end goal is to construct a model for growth prediction and simulation." }