Brain Image Analysis Using Spherical Splines

13 years 10 months ago

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We propose a novel technique based on spherical splines for brain surface representation and analysis. This research is strongly inspired by the fact that, for brain surfaces, it is both necessary and natural to employ spheres as their natural domains. We develop an automatic and efﬁcient algorithm, which transforms a brain surface to a single spherical spline whose maximal error deviation from the original data is less than the user-speciﬁed tolerance. Compared to the discrete mesh-based representation, our spherical spline offers a concise (low storage requirement) digital form with high continuity (Cn−1 continuity for a degree n spherical spline). Furthermore, this representation enables the accurate evaluation of differential properties, such as curvature, principal direction, and geodesic, without the need for any numerical approximations. Thus, certain shape analysis procedures, such as segmentation, gyri and sulci tracing, and 3D shape matching, can be carried out both rob...

Ying He 0001, Xin Li, Xianfeng Gu, Hong Qin

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