
172 Image and Video Compression
Casazza, and Kutyniok 2011; Boufounos, Rauhut, and Kutyniok 2011) due
to redundancy (existence of linearly dependent vectors). One simple way
to obtain the possible set of coefcients is through the Moore-Penrose
inverse as follows x
T
ΦΦΦ
−
. This is an optimal set of coefcients in
terms of
2
error norm.
Mathematically, isometry is a function between the two spaces, which has
a property to preserve the distance between each pair of points. This map-
ping is one to one from one between metric spaces. The restricted isometry
property provides stronger conditions for establishing uniqueness in the
presence of ...