@CONFERENCE\{IMM2001-0117, author = "R. Larsen and H. Eiriksson and M. B. Stegmann", title = "{Q-MAF} Shape Decomposition", year = "2001", month = "oct", pages = "837-844", booktitle = "Medical Image Computing and Computer-Assisted Intervention - {MICCAI} 2001, 4th Int. Conference, Utrecht, The Netherlands", volume = "2208", series = "Lecture Notes in Computer Science", editor = "Wiro J. Niessen, Max A. Viergever", publisher = "Springer", organization = "", address = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/117-full.html", abstract = "This paper address the problems of generating a low dimensional representation of the shape variation present in a set of shapes represented by a number of landmark points. First, we will present alternatives to the featured Least-Squares Procrustes alignment based on the L1-norm and the {L-}inf-norm. Second, we will define a new shape decomposition based on the Maximum Autocorrelation Factor (MAF) analysis, and investigate and compare its properties to the Principal Components Analysis (PCA). It is shown that Molgedey-Schuster algorithm for Independent Component Analysis (ICA) is equivalent to the {MAF} analysis. The shape {MAF} analysis utilises the natural order of landmark points along shape contours." }