inpaint: Use a given dictionary D to inpaint image

In GSCAD: Implementing GSCAD Method for Image Denoising and Inpainting

Description

Given D, obtain the sparse coding A_hat in Y=DA. Then Y_inpaint=DA_hat. See https://arxiv.org/abs/1605.07870

Usage

inpaint(Y, Mask, D, L = 30, eps = NULL, sigma = 0)

Arguments

Y	Each column of Y is a vectorized image patch to be denoised.
Mask	0,1 matrix of the same size as Y to indicate the location of corrupted pixels.
D	D is the dictionary used in Y=DA to inpaint.
L	(optional) This parameter controls the maximum number of non-zero elements in each column of sparsecolding A.
eps	(optional) A lasso tuning paramter
sigma	Noise level.

Value

The inpainted matrix Y.

Examples

I=lena_crop
## corrupt 30% of the image
out_corrupt=AddHoles(I,0.3)
I_corrupt=out_corrupt$corruptedImage
I_mask=out_corrupt$maskImage
## split image
m=64
Y_nc = ImageSplit(I_corrupt,sqrt(m),sqrt(m));
M = ImageSplit(I_mask,sqrt(m),sqrt(m));
mu=colSums(Y_nc*M)/colSums(M)
Y=Y_nc-M*rep(mu,each=nrow(Y_nc))
mask = matrix(as.logical(M),ncol=ncol(M))
## use ODCT dictionary
D0=ODCT(64,100)
## inpaint
Y_inpaint=inpaint(Y,mask,D0)

GSCAD documentation built on Oct. 6, 2017, 5:04 p.m.