A list of the selected bandwidth, the selected threshold value
and a matrix of \(d_{KQ}\) values with each entry
corresponding to each combination of bandwidth and threshold.
Arguments
image
A square matrix, no missing value allowed.
bandwidth
A positive integer that specifies the number of
pixels to use in the local smoothing.
thresh
The threshold value to use in the edge detection
criterion. Must be a positive value.
nboot
Number of bootstrap samples to use in estimating
\(d_{KQ}\).
degree
An integer equal to 0 for local constant kernel
smoothing or 1 for local linear kernel smoothing. The default
value is 1.
blur
If blur = TRUE, in addition to a conventional 2-D kernel
function, a 1-D kernel is used in local smoothing to address
the issue of blur. The default value is FALSE.
Author
Yicheng Kang
Details
A jump-preserving local linear kernel smoothing is applied to
estimate the discontinuous regression surface; Bootstrap
samples are obtained by drawing with replacement from the
residuals and the \(d_{KQ}\) is computed for the detected
edges of the original sample and those of the bootstrap samples.
References
Kang, Y. and Qiu, P. (2014) "Jump Detection in Blurred Regression
Surfaces," Technometrics, 56(4), 539 -- 550,
tools:::Rd_expr_doi("10.1080/00401706.2013.844732").