trip (version 1.1-1)

filter.penSS: Non-destructive smoothing filter.

Description

Non-destructuve filter for track data using penalty smoothing on velocity.

Usage

filter.penSS(tr, lambda, first = TRUE, last = TRUE, ...)

Arguments

tr

A trip object.

lambda

Smoothing parameter, see Details.

first

Fix the first location and prevent it from being updated by the filter.

last

Fix the last location and prevent it from being updated by the filter.

...

Value

• A trip object with updated coordinate values based on the filter - all the data, including original coordinates which are maintained in the trip data frame.

Details

Destructive filters such as speedfilter can be recast using a penalty smoothing approach in the style of Green and Silverman (1994). This filter works by penalizing the fit of the smoothed track to the observed locations by the sum of squared velocities. That is, we trade off goodness of fit against increasing the total sum of squared velocities. When lamda = 0 the smoothed track reproduces the raw track exactly. Increasing lambda favours tracks requiring less extreme velocities, at the expense of reproducing the original locations.

References

Green, P. J. and Silverman, B. W. (1994). Nonparametric regression and generalized linear models: a roughness penalty approach. CRC Press.

See Also

speedfilter

Examples

## Example takes a few minutes

## Fake some data

## Brownian motion tethered at each end
brownian.bridge <- function(n, r) {
  x <- cumsum(rnorm(n, 0, 1))
  x <- x - (x[1] + seq(0, 1, length = n) * (x[n] - x[1]))
  r * x
}

## Number of days and number of obs
days <- 50
n <- 200

## Make separation between obs gamma distributed
x <- rgamma(n, 3)
x <- cumsum(x)
x <- x/x[n]

## Track is lissajous + brownian bridge
b.scale <- 0.6
r.scale <- sample(c(0.1, 2, 10.2), n, replace = TRUE, prob = c(0.8, 0.18, 0.02))
set.seed(44)

tms <- ISOdate(2001, 1, 1) + trunc(days * 24 * 60 * 60 *x)
lon <- 120 + 20 * sin(2 * pi * x) + brownian.bridge(n, b.scale) + rnorm(n, 0, r.scale)
lat <- -40 + 10 *(sin(3 * 2 * pi * x) + cos(2 * pi * x) - 1) + brownian.bridge(n, b.scale) + rnorm(n, 0, r.scale)

tr <- new("trip", SpatialPointsDataFrame(cbind(lon, lat), data.frame(gmt = tms, id = "lbb")), TimeOrderedRecords(c("gmt", "id")))

plot(tr)

## the filtered version
trf <- filter.penSS(tr, lambda = 1, iterlim = 400, print.level = 1)

lines(trf)