This inheritance list is sorted roughly, but not completely, alphabetically:

[detail level 12]

Functionals::CompressiveSensing	Compressive sensing example using convex optimization as discussed in [1]: [1] G. Kutyniok. Compressed Sensing: Theory and Applications. Computing Research Repository, abs/1203.3815, 2012
Functionals::Denoising	Denoising functionals (for grayscale images!
Functionals::Denoising::Evaluation	Evaluation of denoising functionals
Functionals	A collection of functionals for different computer vision/image processing tasks used to demonstrate the use of nmiPiano/iPiano optimization
nmiPiano::Iteration	Structure representing an iteration, passed as is to a callback function to be able to monitor process
iPiano::Iteration	Structure representing an iteration, passed as is to a callback function to be able to monitor process
nmiPiano	Implementation of nmiPiano (algorithm 4) as proposed in [1]: [1] P. Ochs, Y. Chen, T. Brox, T. Pock. iPiano: Inertial Proximal Algorithm for Nonconvex Optimization. SIAM J. Imaging Sciences, vol. 7, no. 2, 2014
iPiano	Implementation of iPiano (algorithm 5) as proposed in [1]: [1] P. Ochs, Y. Chen, T. Brox, T. Pock. iPiano: Inertial Proximal Algorithm for Nonconvex Optimization. SIAM J. Imaging Sciences, vol. 7, no. 2, 2014
Functionals::Denoising::Noise	Generate noisy images
nmiPiano::Options	Options of algorithm
iPiano::Options	Options of algorithm
Functionals::PhaseField	Two Phase-Field for segmentation, see [1]. [1] Shen. Gamma-Convergence Approximation to Piecewise Constant Mumford-Shah Segmentation. International Conference on Advanced Concepts of Intelligent Vision Systems, 2005
Functionals::PhaseField_Color	Two Phase-Field for color image segmentation, see [1]; adapted to color. [1] Shen. Gamma-Convergence Approximation to Piecewise Constant Mumford-Shah Segmentation. International Conference on Advanced Concepts of Intelligent Vision Systems, 2005
Functionals::Util	Utilities for using nmiPiano/iPiano for computer vision/image processing