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Reconstruct signal using inverse multiscale local 1-D polynomial transform

`y = mlptrecon(type,coefs,T,coefsPerLevel,scalingMoments,reconstructionLevel)`

`y = mlptrecon(___,Name,Value)`

returns
an approximation to the inverse multiscale 1-D polynomial transform
(MLPT) of `y`

= mlptrecon(`type`

,`coefs`

,`T`

,`coefsPerLevel`

,`scalingMoments`

,`reconstructionLevel`

)`coefs`

.

specifies `y`

= mlptrecon(___,`Name,Value`

)`mlptrecon`

properties
using one or more `Name,Value`

pair arguments and
the input arguments from the previous syntax.

Maarten Jansen developed the theoretical foundation of the multiscale
local polynomial transform (MLPT) and algorithms for its efficient
computation [1][2][3]. The MLPT uses a lifting scheme, wherein a kernel
function smooths fine-scale coefficients with a given bandwidth to
obtain the coarser resolution coefficients. The `mlpt`

function uses only local polynomial
interpolation, but the technique developed by Jansen is more general
and admits many other kernel types with adjustable bandwidths [2].

[1] Jansen, M. "Multiscale Local Polynomial
Smoothing in a Lifted Pyramid for Non-Equispaced Data." *IEEE
Transactions on Signal Processing*. Vol. 61, Number 3,
2013, pp. 545–555.

[2] Jansen, M. and M. Amghar. "Multiscale
local polynomial decompositions using bandwidths as scales”. *Statistics
and Computing* (forthcoming). 2016.

[3] Jansen, M. and Patrick Oonincx. *Second
Generation Wavelets and Applications*. London: Springer,
2005.

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