A dilation is a moving local maximum over a window of specific fixed width specified by span. This dilation is computed first in one direction and then in the other.
signal, a numeric vector
the width of the moving window, integer
A dilation is a method often used in mathematical morphology and image analysis (Soille 1999). This function is for vectors not matrices or images though applying it to rows and columns of a matrix will give the corresponding results.
An erosion of a vector or image can also be computed easily from this by computing the dilation of -1 times the vector and transforming back.
We recommend using a dilation to form a
penalty for use in
Dilation of y with width span
Soille, P. Morphological Image Analysis: Principles and Applications; Springer: New York, 1999.
## Example 1 - dilation of a signal data(reference) dref <- dilation(reference,150) plot(reference,log="y",type="l") lines(dref,col=2) ## Example 2 - dilation of an image BIN <- (volcano>177) dBIN <- t(apply(BIN,1,dilation,span=5)) dBIN <- apply(dBIN,2,dilation,span=5) oldpar <- par(no.readonly = TRUE) par(mfrow=c(2,2)) image(volcano) image(BIN) image(dBIN) par(oldpar)
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