From Surface Mesh Deformations to Volume Deformations
SSMs as described in Section 3.1 are linear models. They are not suitable for modeling large non-linear shape variations, nor changes in shape topology. Building non-linear statistical shape models is an active area of research (see e.g. Gerber et al. (2009)). However, certain anatomical structures exhibit large non-linear intra-individual variations of shape that are of biomechanical nature rather than stemming from a statistical distribution. E.g., articulated bone compounds are subject to intra-individual shape variation stemming from articulation in joints. Such variations call for mechanical rather than statistical modeling (Kainmueller et al., 2009b).
KeywordsVolume Deformation Statistical Shape Model Linear Elasticity Model Control Mesh Speed Vector
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