basic2DFilter: Make a 2D filter calculations from numeric matrix

In LuisLauM/imagine: IMAGing engINEs, Tools for Application of Image Filters to Data Matrices

Make a 2D filter calculations from numeric matrix

Description

This functions take a matrix object, and for each cell calculate mean, median or certain quantile around a squared/rectangular neighborhood.

Usage

meanFilter(X, radius, times = 1)

quantileFilter(X, radius, probs, times = 1)

medianFilter(X, radius, times = 1)

Arguments

X	A numeric matrix object used for apply filters.
radius	Size of squared or rectangular kernel to apply median. See Details.
times	How many times do you want to apply the filter?
probs	numeric vector of probabilities with values in [0,1].

Details

radius must be defined as a 2-length numeric vector specifying the number of rows and columns of the window which will be used to make calculations. If the length of radius is 1, the window will be a square.

Functions use C++ algorithms for running some statistical calculations. The mean is far obvious, however, there are several ways to perform quantiles. quantileFilter function uses arma::quantile: a RcppArmadillo function, which is equivalent to use R quantile funtion with type = 5.

medianFilter is a wraper of quantileFilter, so the same observations are applied to it.

Value

A matrix object with the same dimensions of X.

quantileFilter don't use a kernel but, for each cell, it returns the position of quantile 'probs' (value between 0 and 1).

medianFilter is a wrapper of quantileFilter with probs = 0.5.

Examples

# Generate example matrix
nRows <- 50
nCols <- 100

myMatrix <- matrix(runif(nRows*nCols, 0, 100), nrow = nRows, ncol = nCols)
radius <- 3

# Make convolution
myOutput1 <- meanFilter(X = myMatrix, radius = radius)
myOutput2 <- quantileFilter(X = myMatrix, radius = radius, probs = 0.1)
myOutput3 <- medianFilter(X = myMatrix, radius = radius)

# Plot results
par(mfrow = c(2, 2))
image(myMatrix, zlim = c(0, 100), title = "Original")
image(myOutput1, zlim = c(0, 100), title = "meanFilter")
image(myOutput2, zlim = c(0, 100), title = "quantileFilter")
image(myOutput3, zlim = c(0, 100), title = "medianFilter")

LuisLauM/imagine documentation built on Jan. 31, 2024, 3:14 p.m.