by Triet M. Le and Luke Rogers

In image decompositions, one is interested in decomposing $$f$$ into $$u+v$$ where $$u$$ and $$v$$ have different features. In a variational approach, such a decomposition is achieved by solving the following variational problem
$$ \inf_{(u,v)∈X1×X2} \{ tF_1(u) + F_2(v) : f = u + v\}$$, Continue reading →