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Fig. 1. Enlarging (a), shifting (b), and reducing (c)
4.2 Obfuscation Techniques
We present some obfuscation techniques that reduce the location accuracy of a
location measurement until the privacy preferences are achieved. In particular,
each technique takes λ as input and computes
R Priv and the obfuscated area.
Enlarging the Radius
Enlarging the radius of a location measurement represents the traditional
solution adopted in the context of location privacy protection. Given a location
measurement Area ( r, x c ,y c ), an obfuscated area Area ( r ,x c ,y c ) is generated,
where r >r (see Fig. 1(a)). The obfuscation effect directly derives from the
fact that the joint pdf associated with the obfuscated area decreases, that
is,
r, r
IR +
: r<r
R Priv of the
location information after spatial obfuscation can be derived from
f r ( x, y ) >f r ( x, y ). The relevance
R Tech by
considering the ratio of the two pdf as a scalar factor:
r 2
r 2 ·R Tech ,
f r ( x, y )
f r ( x, y ) ·R Tech =
with r<r
R Priv =
(2)
0, the radius of the obfuscated area r is
calculated from (1) and (2) as follows:
r = r λ +1
Given a privacy preference λ
This relation permits to generate the obfuscated area by enlarging radius
r to radius r , which satisfies, according to our semantics, the user privacy
preference λ . Note that, if the privacy preference of the user is provided by
means of a minimum distance (i.e., radius r ) relevance
R Priv of the obfuscated
area is always calculated by equation (2).
 
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