
182 Image and Video Compression
yield the same form as the constrained formulation. The value of Lagrangian
in general is unknown a priori. The excellent solvers for this problem are
available and discussed by Becker, Bobin, and Candes (2011). However,
one must note that
is determined explicitly by the noise or quantization,
making the constrained solver a more popular choice. Many constrained
solvers are optimistic in a sense that they assume noise to be random and
not bounded. One of the most popular choices in this is AWGN (additive
white Gaussian noise) with the mean μ = 0 and variance σ
2
= 1. The Bayesian
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