DRIP (version 2.0)

dKQ: Performance Measure of Edge Detector

Description

Compute the dissimilarity measure between two sets of edge pixels. It is used as a performance measure for step or roof edge detectors.

Usage

dKQ(edge1, edge2)

Value

Value of the \(d_{KQ}\)

Arguments

edge1

One set of pixels.

edge2

The other set of pixels.

Details

The mathematical definition of \(d_{KQ}\) is as follows. \(d_{KQ}(S_1, S_2) = \frac{0.5}{|S_1|}\sum_{p_1\in S_1} d_E(p_1, S_2) + \frac{0.5}{|S_2|}\sum_{p_2\in S_2} d_E(p_2, S_1)\), where \(S_1\) and \(S_2\) are two point sets, and \(d_E\) denotes the Euclidean distance.

References

Kang, Y. and Qiu, P., "Jump Detection in Blurred Regression Surfaces," Technometrics, 56, 2014, 539-550, tools:::Rd_expr_doi("10.1080/00401706.2013.844732").

Examples

mat1 <- matrix(c(1, rep(0, 3)), ncol = 2)
mat2 <- matrix(c(rep(0, 3), 1), ncol = 2)
dKQ(mat1, mat2)