Satellite Radar Image Data from near Munich
The data were supplied by A. Frery. They are a part of a synthetic aperture satellite radar image corresponding to a suburb of Munich. Provided are coordinates and values corresponding to three frequency bands for each of 1573 pixels.
data(radarImage, package="robustbase")
A data frame with 1573 observations on the following 5 variables.
X.coord
a numeric vector
Y.coord
a numeric vector
Band.1
a numeric vector
Band.2
a numeric vector
Band.3
a numeric vector
The website accompanying the MMY-book: https://www.wiley.com/legacy/wileychi/robust_statistics/
data(radarImage) plot(Y.coord ~ X.coord, data = radarImage) ## The 8 "clear" outliers (see also below) ii8 <- c(1548:1549, 1553:1554, 1565:1566, 1570:1571) outF <- 1+(seq_len(nrow(radarImage)) %in% ii8) pairs(radarImage[, 3:5], main = "radarImage (n = 1573)", col = outF, pch=outF) ## Finding outliers ----------------------------------------- set.seed(1) system.time(cc.ri <- covMcd(radarImage))# ~ 0.1 sec ## check for covMcd() consistency: iiO <- as.integer( c(262, 450:451, 480:481, 509, 535, 542, 597, 643, 669, 697, 803:804, 832:834, 862:864, 892, 989, 1123, 1145, 1223:1224, 1232:1233, 1249:1250, 1267, 1303, 1347, 1357, 1375, 1411, 1419:1420, 1443, 1453, 1504, 1510:1512, 1518:1521, 1525:1526, 1543:1544, 1546:1555, 1557:1558, 1561:1562, 1564:1566, 1569:1571, 1573)) length(iiO) # 73 -- other seeds sometimes give 72, rarely 71 "outliers" isO <- cc.ri$mcd.wt == 0 stopifnot(identical(iiO, which(isO)), identical(ii8, which(cc.ri$mah > 100)), length(intersect(cc.ri$best, iiO)) == 0) cc <- c(adjustcolor("black", 0.4), adjustcolor("tomato", 0.8)) pairs(radarImage, main = "radarImage (n = 1573) + Outliers", gap=0, col = cc[1+isO], pch = c(1,8)[1+isO], cex = 0.8)
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