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Basis Functions

It is interesting to define basis functions on the parametric space that conform to the curvature of the physical surface. The basis function proposed by Wilkes and Cha [2] is illustrated in Figure 2.3. The domain of the basis function is a pair of adjacent triangles, and . The basis function is defined by

where are local vertices in the parametric u-v space. is the area of the triangle .

This basis function has the following desirable properties:

After reviewing the above properties of the function defined in (), we will select this function as a basis function to approximate the electric currents induced on the surface of scatterers. This basis function will be used throughout this thesis.


xshen@
Sat Dec 3 17:51:03 EST 1994