Biomedical Engineering Reference
In-Depth Information
Fig. 4.15 Second partial derivatives of the MLS shape functions obtained with the cubic spline
(W3) and the quartic spline (W4)
4.3.5 MLS Shape Functions Calculation
This section provides a simple and practical flow-chart to compute the MLS shape
functions. The MLS shape function, and the respective partial derivatives, of an
interest point x
I
, with an influence-domain defined by X
I
ΒΌ
f
x
1
;
x
2
;
...
;
x
n
g2
d
,
R
can be calculated with the following procedure:
