Recently, adaptive approximation techniques have become popular for ob
taining parsimonious representations of large classes of signals. Thes
e methods include method of Frames, matching pursuit, and, most recent
ly, basis pursuit. In this work, high resolution pursuit (HRP) is deve
loped as an alternative to existing function approximation techniques.
Existing techniques do not always efficiently yield representations w
hich are sparse and physically interpretable. HRP is an enhanced Versi
on of the matching pursuit algorithm and overcomes the shortcomings of
the traditional matching pursuit algorithm by emphasizing local fit o
ver global lit at each stage. Further, the HRP algorithm has the same
order of complexity as matching pursuit. In this paper, the HRP algori
thm is developed and demonstrated on 1D functions. Convergence propert
ies of HRP are also examined. HRP is also suitable for extracting feat
ures which may then be used in recognition. (C) 1998 Academic Press.