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).
KeywordsShrinkage Dition Olated
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