Higher Degree Total Variation (HDTV)

Reinterpretation of TV

HDTV regularization


Steerability of directional derivatives

Total variation (TV) penalty

Total variation (TV) penalty

Limitations: patchy artifacts

Extend to higher order derivatives

1D: Straight forward

2D: Multiple partial derivatives

1st degree directional derivatives along

Rotation steerable

Vector form

Generalize to nth order derivatives

L1 norm of directional derivatives