ABSTRACT
F : IR
+
! IR
+
with the property
F (Æ)! 0; Æ ! 0; (3.0.1)
such that the Hausdor distance d(D
; D
) of two scatterers can be esti-
mated by
d(D
; D
) F
jju
(; ) u
(; )jj
L
( )
: (3.0.2)
For the convex hulls H(D
) and H(D
) of impenetrable acoustic or arbi-
trary electromagnetic scatterers D
and D
we will derive a logarithmic
estimate, i.e.,
F (Æ) =
C
j ln(Æ)j
c
scatterers.
