dKQ {DRIP} | R Documentation |
Compute the d_KQ distance between two sets of edge pixels. It can be used as a performance measure for (step/roof) edge detectors
dKQ(edge1, edge2)
edge1 |
One set of pixels |
edge2 |
The other set of pixels |
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.
Value of the d_{KQ}
Kang, Y., and Qiu, P., "Jump Detection in Blurred Regression Surfaces," Technometrics, 56, 2014, 539-550.
mat1 = matrix(c(1, rep(0, 3)), ncol = 2)
mat2 = matrix(c(rep(0, 3), 1), ncol = 2)
dKQ(mat1, mat2)