  This paper is dedicated to the fused trend filtering on a general graph,
which is a combination of fused estimator and 1-st order trend filtering on a
graph. There are two cases of fusion regularisers studied in this work:
anisotropic total variation (i.e. fused lasso) and nearly-isotonic restriction.
For the trend filtering part we consider general trend filtering on a given
graph and Kronecker trend filter for the case of lattice data. We show how
these estimators are related to each other and propose a computationally
feasible numerical solution with a linear complexity per iteration with respect
to the amount of edges in the graph.
