Fig. 8

Probability of success for HOTV, MHOTV, and Daubechies wavelets at orders 1 (left column), 2 (middle column) and 3 (right column). A successful recovery is deemed whenever the relative \(\ell _2\) error between the reconstruction and the true signal is less than \(10^{-2}\). Top row: piecewise constant functions. Middle row: piecewise linear functions. Bottom row: piecewise quadratic functions