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. 2008 Aug 30;24(21):2460–2466. doi: 10.1093/bioinformatics/btn461

Table 1.

The interpolation kernels U used in the present study, as derived from continuum elastic theory (see text)

Spline type Deformation term
TPS U(|p|)=|p|I
EBS Kernel 1 U(|p|)=[(11−12ν)|p|2I−3ppT]|p|
EBS Kernel 2 Inline graphic

I − the 3 × 3 identity matrix, ν - EBS elasticity coefficient