SpatialVx (version 0.2-4)

convthresh: Convolution Threshold Feature Identification

Description

Identify features within a field via thresholding a convolution-smoothed version of the field.

Usage

convthresh(object, smoothfun = "disk2dsmooth", smoothpar = 1, 
    smoothfunargs = NULL, thresh = 1e-08, idfun = "disjointer", 
    zero.down = FALSE, time.point = 1, model = 1, ...)
threshsizer(object, thresh = 1e-08, Ncontig = 50, idfun = "disjointer", 
    time.point = 1, model = 1, ...)
threshfac(object, fac = 0.06666667, q = 0.95, wash.out = NULL, 
    thresh = NULL, idfun = "disjointer", time.point = 1, model = 1, 
    ...)
disjointer(x, method = "C")
## S3 method for class 'features':
plot(x, ..., type = c("both", "obs", "model"))
## S3 method for class 'features':
print(x, ...)
## S3 method for class 'features':
summary(object, ...)
## S3 method for class 'summary.features':
plot(x, ...)

Arguments

object

convthresh, threshfac and threshsizer: list object of class SpatialVx.

summary: an object of class features (e.g., as returned by convthresh or thres

x

binary matrix identifying event points. For plot method functions, this is the output object returned from either convthresh or threshfac (or other feature identifying function that returns objects of class

smoothfun

character naming a convolution smoothing function that takes argument x (the field to be smoothed, not the same as the argument to disjointer) and a smoothing parameter as the first two arguments. Other arguments are allowed, an

smoothpar

single numeric giving the smoothing parameter for smoothfun.

smoothfunargs

list object with named additional arguments to smoothfun.

Ncontig

single numeric giving the number of contiguous grid points that must exceed the threshold in order to be considered as an object.

fac

numeric giving a factor by which to multiply the R quantile in determining the threshold from the fields. Default is to multiply by ~ 1/15 as in Wernli et al (2008, 2009). This is not used if thresh is supplied.

thresh

numeric vector of length one or two giving the threshold over which (and including, i.e., >=) events are defined. If different thresholds are used for the forecast and verification fields, then the first element is the threshold for the forecast, and the

q

If thresh is NULL, then this is the quantile used to deterimne the thresholds for the two fields.

idfun

character naming the function used to identify (and label) individual features in the convolved and thresholded field. Must take argument x, which is the convolved and thresholded (binary) field.

wash.out

(optional) numeric giving a lower threshold over which the quantile for determining the threshold should be found. If NULL, this is not performed. Only used if thresh is NULL.

zero.down

logical, should negative values and relatively very small values be set to zero after smoothing the fields? For thresholds larger than such values, this argument is moot. zapsmall is used to set the very small positive values to zero.

method

character giving the connected components algorithm to be used in function connected from spatstat.

time.point

numeric or character indicating which time point from the SpatialVx verification set to select for analysis.

model

numeric indicating which forecast model to select for the analysis.

type

character string stating which features to plot (observed, forecast or both). If both, a panel of two plots will be made side-by-side.

...

convthresh and threshfac: additional arguments to idfun.

plot method function has optional arguments to image.plot for the color legend bar only.

Not used by the print or

Value

• convthresh and threshfac return a list object of class features with comopnents:
• data.name
  character vector naming the verification and forecast (R object) fields, resp.
• X.feats,Y.feats
  The identified features for the verification and forecast fields as returned by the idfun function.
• X.labeled,Y.labeled
  matrices of same dimension as the forecast and verification fields giving the images of the convolved and thresholded verification and forecast fields, but with each individually identified object labeled 1 to the number of objects in each field.
• identifier.function,identifier.label
  character strings naming the function and giving the long name (for use with plot method function).
• The plot method functions do not return anything.

  The summary method function for objects of class features returns a list with components:

• X,Y
  matrices whose rows are objects and columns are properties: centroidX and centroidY (the x- and y- coordinates for the feature centroids), area (the area of each feature in squared grid points), the orientation angle for the fitted major axis, the aspect ratio, Intensity0.25 and Intensity0.9 (the lower quartile and 0.9 quantile of intensity values for each feature).

Details

convthresh:

The convolution threshold technique is a simple way of identifying features (referred to as objects in image analysis circles where features are the attributes thereof) within a field. First, the field is smoothed using a convolution smoother, and then it is set to a binary image where everything above a given threshold is set to one. Individual features are identified through any choice of function given by idfun. The default is to use a connected components algorithm using the spatstat function connected.

This is the method used by Davis et al. (2006a,b).

threshsizer:

This is the method described in, e.g., Nachamkin (2009) or Lack et al. (2010). Objects are identified as contiguous grid points above a threshold where at least Ncontig connected points are above the threshold. This effectively allows only larger objects to be defined.

threshfac:

This is the method described in Wernli et al. (2009). Objects are identified via a possibly modified threshold.

References

Davis, C. A., Brown, B. G. and Bullock, R. G. (2006a) Object-based verification of precipitation forecasts, Part I: Methodology and application to mesoscale rain areas. Mon. Wea. Rev., 134, 1772--1784.

Davis, C. A., Brown, B. G. and Bullock, R. G. (2006b) Object-based verification of precipitation forecasts, Part II: Application to convective rain systems. Mon. Wea. Rev., 134, 1785--1795.

Lack, S. A., Limpert, G. L. and Fox, N. I. (2010) An object-oriented multiscale verification scheme. Wea. Forecasting, 25, 79--92, doi:10.1175/2009WAF2222245.1.

Nachamkin, J. E. (2009) Application of the composite method to the spatial forecast verification methods intercomparison dataset. Wea. Forecasting, 24, 1390--1400, doi:10.1175/2009WAF2222225.1.

Wernli, H., Paulat, M. Hagen, M. and Frei, C. (2008) SAL--A novel quality measure for the verification of quantitative precipitation forecasts. Mon. Wea. Rev., 136, 4470--4487.

Wernli, H., Hofmann, C. and Zimmer, M. (2009) Spatial forecast verification methods intercomparison project: Application of the SAL technique. Wea. Forecasting, 24, 1472--1484, doi:10.1175/2009WAF2222271.1.

See Also

connected, as.im, tess, tiles, owin, make.SpatialVx

Examples

x <- y <- matrix(0, 10, 12)
x[2:3,c(3:6, 8:10)] <- 1
y[c(4:7, 9:10),c(7:9, 11:12)] <- 1

hold <- make.SpatialVx(x, y, field.type="contrived", units="none",
    data.name=c("Example", "x", "y"))

look <- convthresh(hold, smoothpar=0.5)
length(look$X.feats) # two objects in x.
length(look$Y.feats) # four ovjects in y.

plot(look$X.feats)
plot(look$Y.feats)

plot(look) 
look2 <- summary(look)
plot(look2)

look3 <- threshsizer(hold, Ncontig=5)
plot(look3)

look4 <- threshfac(hold)
plot(look4)

data(pert000)
data(pert004)
data(ICPg240Locs)

hold <- make.SpatialVx(pert000, pert004, loc=ICPg240Locs,
    projection=TRUE, map=TRUE, loc.byrow = TRUE,
    field.type="Precipitation", units="mm/h",
    data.name=c("Perturbed ICP Cases", "pert000", "pert004"))

look <- convthresh(hold, smoothpar=3.5)

length(look$X.feats)
length(look$Y.feats)

image.plot(look$sIx)
image.plot(look$sIy)

plot(look)
look2 <- summary(look, silent=TRUE)
plot(look2)