laplacian

0th

Percentile

create penalty object for two-dimensional smoothing.

Creates a penalty matrix for use by gen.ridge for two-dimensional smoothing.

Keywords
regression
Usage
laplacian(size, compose)
laplacian(size = 16, compose = FALSE)
Arguments
size

dimension of the image is size x size; default is 16.

compose

default is compose=FALSE, which means the penalty is returned as an eigen-decomposition. If compose=TRUE, a penalty matrix is returned.

Details

Formulas are used to construct a laplacian for smoothing a square image.

Value

If compose=FALSE, an eigen-decomposition object is returned. The vectors component is a size^2 x size^2 orthogonal matrix, and the $values component is a size^2 vector of non-negative eigen-values. If compose=TRUE, these are multiplied together to form a single matrix.

References

Here we follow very closely the material on page 635 in JASA 1991 of O'Sullivan's article on discretized Laplacian Smoothing

See Also

gen.ridge,fda

Aliases
  • laplacian
Documentation reproduced from package mda, version 0.4-10, License: GPL-2

Community examples

Looks like there are no examples yet.