This paper presents a method for relocation of a mobile robot using sonar d
ata. The process of determining the pose of a mobile robot with respect to
a global reference frame in situations where no a priori estimate of the ro
bot's location is available is cast as a problem of searching for correspon
dences between measurements and an a priori map of the environment. A physi
cally-based based sonar sensor model is used to characterize the geometric
constraints provided by echolocation measurements of different types of obj
ects. Individual range returns are used as data features in a constraint-ba
sed search to determine the robot's position. A hypothesize and test techni
que is employed in which positions of the robot are calculated from all pos
sible combinations of two range returns that satisfy the measurement model.
The algorithm determines the positions which provide the best match betwee
n the range returns and the environment model. The performance of the appro
ach is demonstrated using data both a single scanning Polaroid sonar and fr
om a ring of Polaroid sonar sensors.