@CONFERENCE\{IMM2007-04971, author = "H. Olafsd\'{o}ttir and M. S. Hansen and K. Sj{\"{o}}strand and T. A. Darvann and N. V. Hermann and E. Oubel and B. K. Ersb{\o}ll and R. Larsen and A. P. Larsen and C. A. Perlynn and G. M. Morriss-Kay and S. Kreiborg", title = "Sparse Statistical Deformation Model for the Analysis of Craniofacial Malformations in the Crouzon Mouse", year = "2007", keywords = "Sparse {PCA,} statistical deformation model, Crouzon syndrome", booktitle = "Scandinavian Conference on Image Analysis 2007", volume = "", series = "Lecture notes in computer science (LNCS)", editor = "Bjarne Kj{\ae}r Ersb{\o}ll, Ingela Nystr{\"{o}}m, Ivar Austvoll, Janne Heikkil{\"{a}}", publisher = "Springer", organization = "", address = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/4971-full.html", abstract = "Crouzon syndrome is characterised by the premature fusion of cranial sutures. Recently the rst genetic Crouzon mouse model was generated. In this study, Micro {CT} skull scannings of wild-type mice and Crouzon mice were investigated. Using nonrigid registration, a wild-type mouse atlas was built. The atlas was registered to all mice providing parameters controlling the deformations for each subject. Our previous {PCA-}based statistical deformation model on these parameters revealed only one discriminating mode of variation. Aiming at distributing the discriminating variation over more modes we built a di erent model using Independent Component Analysis (ICA). Here, we focus on a third method, sparse {PCA} (SPCA), which aims at approximating the properties of a standard {PCA} while introducing sparse modes of variation. This approach is compared to a standard {PCA} and {ICA}. The results show that the {SPCA} outperforms both {ICA} and {PCA} with respect to the Fisher discriminant." }