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nv objects

Node vector objects.

DESCRIPTION

These are objects of classes

nv

They represent a basis in a packet-ordered non-decimated wavelet transform object.

GENERATION

This class of objects is returned from the MaNoVe.wst and numtonv functions. The former returns the minimum entropy basis (most sparse basis) obtained using the Coifman-Wickerhauser, 1992 algorithm. The latter permits selection of a basis by an index number.

METHODS

The nv class of objects has methods for the following generic functions: print, nlevels, InvBasis,

INHERITANCE

None (yet).

STRUCTURE

The following components must be included in a legitimate `nv' object.

node.list This is a complicated structure composed of one-dimensional array of nv$nlevels lists. Each item in the array is itself a list having two components $upperctrl and upperl. Each component is described as follows: upperctrl The `upperctrl' item in each is the most important. It consists of a vector of characters. Each character refers to a node in the non-decimated wavelet tree at that level and can only be one of the characters L (for left), R (for right) and S (for stop). Each character in the vector informs reconstruction algorithms that, to do the best thing (whatever the best thing is in any particular case, e.g. select the minimum entropy node downwards), you should select the left/right node or stop at the current node. upperl The `upperl' vector is in 1-1 correspondance with the `upperctrl' vector. Each entry is a number related in some way to the L/R/S entry. (For the minumum entropy this is the minmum entropy achieved by this selection).
nlevels: The number of levels in the wst object that was involved in the creation of the nv object. Nv objects describe a basis relative to a packet ordered non-decimated wavelet transform object and thus must know the number of levels in that object.

DETAILS

A nv object is a description of a basis which is a path through a packet ordered non-decimated wavelet transform. To view the basis just print it! See the example in numtonv for a print out of its structure.

A similar object exists for describing a basis in a wavelet packet object see nvwp.