如何将二维密度图映射到照片上

How to map a two-dimensional density plot onto a photograph

我有一个二维密度图,我需要将其叠加到照片上。我可以用包读入图片 rtiff:

install.packages("rtiff")
library(rtiff)
x <- readTiff('F01_screenshot.tiff')
plot(x)

密度图的数据是一个非常大的数据框,称为 eet2(请参阅下面的可重现数据);密度图的代码是这样的:

library(ggplot2)
ggplot(eet2, aes(x=X, y= Y)) +
  geom_point() + stat_density2d()

我可以很容易地分别制作这两个图,但不知道如何将密度图叠加到照片上,密度图按比例缩小以适合图片.非常感谢任何帮助!

可重现数据:

eet2 <- dput(eet1[1:1000, 2:3])
structure(list(X = c(0, 177.378, 27.289, 0, 852.719, 0, 852.813, 
71.068, 0, 144.875, 0, 140.385, 21.598, 0, 170.325, 0, 136.746, 
21.038, 0, 146.279, 0, 141.86, 11.822, 0, 146.078, 0, 137.681, 
21.182, 0, 148.867, 0, 132.886, 20.444, 0, 146.129, 0, 80.251, 
6.688, 0, 141.08, 0, 149.789, 23.044, 0, 74.097, 0, 141.182, 
21.72, 0, 83.075, 0, 81.192, 6.766, 0, 849.784, 0, 153.96, 23.686, 
0, 78.374, 0, 142.782, 21.967, 0, 72.929, 0, 142.922, 11.91, 
0, 83.639, 0, 143.912, 22.14, 0, 134.809, 0, 142.826, 21.973, 
0, 132.7, 0, 85.876, 7.156, 0, 138.935, 0, 80.951, 12.454, 0, 
144.385, 0, 141.716, 21.802, 0, 76.768, 0, 74.406, 6.2, 0, 134.444, 
0, 155.341, 23.899, 0, 189.336, 0, 224.517, 34.541, 0, 207.46, 
0, 216.122, 18.01, 0, 204.552, 0, 208.524, 32.081, 0, 207.513, 
0, 203.162, 31.256, 0, 197.578, 0, 204.362, 17.03, 0, 195.223, 
0, 956.396, 147.138, 0, 201.969, 0, 224.989, 34.614, 0, 214.064, 
0, 140.374, 11.698, 0, 140.235, 0, 958.501, 147.462, 0, 141.898, 
0, 143.337, 22.052, 0, 955.901, 0, 954.965, 79.58, 0, 131.323, 
0, 223.214, 34.341, 0, 952.203, 0, 143.102, 22.016, 0, 935.525, 
0, 918.238, 76.52, 0, 123.337, 0, 127.93, 19.682, 0, 915.755, 
0, 128.336, 19.744, 0, 913.158, 0, 120.076, 10.006, 0, 911.196, 
0, 124.387, 19.136, 0, 911.631, 0, 911.389, 140.214, 0, 910.433, 
0, 119.375, 9.948, 0, 115.898, 0, 910.073, 140.011, 0, 915.461, 
0, 965.025, 148.465, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1125.565, 
0, 1074.389, 165.291, 0, 1061.611, 0, 1051.23, 161.728, 0, 1044.3, 
0, 269.733, 22.478, 0, 245.869, 0, 206.934, 234.525, 245.609, 
250.874, 251.576, 260.164, 262.974, 263.161, 269.25, 262.693, 
261.818, 265.634, 266.479, 266.592, 266.39, 262.751, 262.508, 
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1085.901, 1085.266, 1085.181, 1085.513, 1085.159, 1085.112, 1088.024, 
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1072.384, 1071.454, 1071.33, 1072.31, 1069.704, 1069.53, 1068.856, 
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1103.801, 1097.674, 1097.266, 1110.129, 1105.4, 1104.769, 1115.638, 
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1112.73, 1063.573, 948.249, 932.873, 844.512, 834.23, 833.545, 
865.203, 867.402, 867.695, 838.499, 864.3, 867.74, 837.215, 864.187, 
865.985, 0, 760.653, 862.073, 861.199, 860.757, 860.699, 0, 861.681, 
71.807, 0, 851.287, 855.415, 855.965, 859.554, 864.523, 865.185, 
868.109, 873.22, 873.561, 845.881, 882.877, 887.81, 893.391, 
899.782, 900.634, 908.492, 56.781, 0, 0, 0, 0, 0, 0, 0, 319.09, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 696.905, 0, 704.008, 58.667, 0, 0, 
0, 0, 677.276, 673.676, 673.195, 673.45, 671.209, 671.06, 672.474, 
674.07, 674.283, 674.896, 656.33, 653.855, 678.654, 681.884, 
682.099, 684.933, 715.507, 719.584, 735.659, 1290.244, 1364.188, 
1362.632, 1366.322, 1366.568, 1371.973, 1364.1, 1363.051, 1361.383, 
812.325, 739.117, 734.716, 1322.199, 1361.365, 730.422, 731.132, 
731.227, 729.084, 724.164, 723.507, 726.199, 725.939, 725.922, 
725.437, 1278.917, 1352.714, 726.791, 1281.431, 1355.383, 1366.558, 
764.435, 724.294, 725.46, 724.544, 724.422, 724.178, 1288.932, 
1364.232, 723.902, 680.495, 677.601, 724.172, 722.856, 722.681, 
735.236, 743.706, 744.835, 554.779, 735.387, 747.427, 724.914, 
720.25, 719.628, 721.122, 742.971, 745.884, 742.171, 737.947, 
737.665, 729.207, 808.032, 818.542, 905.216, 106.496, 0, 1169.534, 
0, 1195.852, 99.654, 0, 1236.396, 0, 0, 0, 0, 1190.473, 183.15, 
0, 1143.686, 1132.754, 1132.025, 1123.856, 1103.6, 1100.9, 1083.716, 
1079.191, 1078.588, 1083.785, 1070.395, 1069.503, 1066.885, 1065.121, 
1064.885, 1064.401, 1065.285, 1065.403, 1075.009, 1076.036, 1076.105, 
1086.308, 1075.821, 1074.423, 1073.282, 126.268, 0, 1092.281, 
0, 1019.684, 1087.663, 286.389, 33.693, 0, 1117.064, 0, 1114.254, 
171.424, 0, 1111.518, 0, 1110.347, 92.529, 0, 1077.293, 0, 1107.754, 
170.424, 0, 1107.136, 0, 1076.571, 165.626, 0, 1067.475, 0, 1110.71, 
92.559, 0, 274.852, 0, 280.654, 43.177, 0, 280.278, 271.773, 
270.639, 0, 1060.434, 88.369, 0, 1054.964, 1047.876, 1046.931, 
1052.977, 1064.93, 1066.524, 1061.181, 1069.339, 1069.883, 275.888, 
970.662, 1063.299, 268.308, 974.232, 1068.355, 1044.757, 1065.286, 
1066.655, 1076.68, 1085.54, 1086.721, 1088.216, 1083.409, 1082.768, 
1087.272, 1087.283, 1087.283, 1086.689, 1087.19, 1087.257, 1089.988, 
1087.837, 1087.55, 272.953, 1040.007, 1091.144, 1076.712, 1089.387, 
1091.077, 1103.104, -360.56, -555.715, 1072.081, 1073.131, 1073.201, 
1073.04, 1089.257, 1091.419, 1072.888, 1073.111, 1073.141, 1104.182, 
1075.399, 1073.48, 1103.711, 1076.133, 1072.456, 1104.247, 1105.181, 
1105.305, 1072.744, 1104.02, 1106.105, 1074.673, 1102.759, 1106.503, 
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292.278, 292.722, 1112.981, 1123.139, 1124.493, 1127.996, 1134.943, 
1135.406, 1136.071, 1141.749, 1142.506, 1148.754, 1150.764, 1151.032, 
1156.093, 1154.597, 1154.497, 1150.481, 1124.218, 1120.716, 1108.646, 
1095.181, 1093.385, 1113.175, 1089.783, 1088.224, 1719.795, -286.164, 
-553.625, 1112.49, 1099.064, 1097.274, 1106.601, 1105.705, 1105.645, 
1100.75, 1110.143, 1111.395, 1114.044, 1108.662, 1107.944, 1115.615, 
1114.492, 1114.417, 296.606, 1011.559, 1106.886, 213.15, 735.037, 
804.622, 643.816, 590.868, 587.338, 588.443, 591.022, 591.366, 
595.437, 598.575, 598.994, -70.23, 562.977, 605.191, 608.988, 
14.755, -64.476, -86.326, 490.189, 567.057, 573.015, 572.841, 
572.83, 576.607, 578.243, 578.461, 579.714, 1343.595, 1445.446, 
585.277, 588.153, 588.345, 588.809, 588.843, 588.848, 592.898, 
591.447, 591.254, 592.538, 589.623, 589.429, 590.233, 587.901, 
587.59, 589.276, 603.526, 605.426, 691.889, 810.649, 818.566, 
889.948, 866.466, 863.335, 164.367, 164.895, 164.966, 158.056, 
851.73, 897.975, 164.51, 806.786, 892.423, 894.069, 892.465, 
892.251, 153.408, 842.909, 888.876, 151.935, 802.889, 889.683, 
154.817, 146.446, 145.329, 888.428, 193.529, 147.202, 885.088, 
224.817, 136.78, 147.255, 802.581, 889.958, 888.64, 889.975, 
890.064, 1575.971, 968.922, 887.982, 889.232, 860.991, 857.226, 
872.007, 893.987, 895.452, 859.373, 892.292, 896.681, 859.84, 
859.942, 859.955, 898.274, 860.41, 857.885, 879.17, 862.76, 860.572, 
856.434, 854.683, 854.45, 851.949, 174.027, 128.832, 848.35, 
847.791, 847.716, 847.847, 849.008, 849.163, 133.198, 806.744, 
851.647, 146.291, 773.622, 857.267, 860.622, 834.937, 831.512, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 623.517, 0, 631.712, 97.187, 
0, 631.526, 0, 641.912, 98.756, 0, 648.161, 0, 654.673, 54.556, 
0, 659.733, 0, 603.775, 684.278, 696.548, 689.181, 688.198, 687.25, 
682.216, 681.881, 711.089, 713.482, 713.802, 713.969, 715.124, 
715.278, 711.369, 709.299, 709.162, 679.428, 675.016, 674.428, 
675.948, 673.724, 673.427, 675.195, 678.8, 679.041, 681.486, 
686.341, 686.988, 696.445, 694.867, 694.657, 703.31, 705.003, 
705.116, 0, 711.882, 109.52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
1269.549, 1438.822, 0, 720.784, 60.065, 0, 721.678, 0, 713.535, 
109.775, 0, 709.244, 0, 681.534, 104.851, 0, 693.092, 0, 681.394, 
56.783, 0, 679.538, 0, 680.866, 104.749, 0, 675.661, 0, 668.345, 
102.822, 0, 0, 0, 0, 0, -69.364, -10.671, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 677.983, 0), Y = c(0, -560.914, 
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290.969, 275.119, 276.953, 277.198, 260.347, 261.677, 261.855, 
246.632, 250.916, 251.202, 238.808, 246.008, 246.968, 240.285, 
253.356, 255.099, 251.122, 262.086, 262.817, 258.677, 268.433, 
269.734, 264.812, 273.771, 274.966, 268.696, 276.112, 276.606, 
268.26, 275.135, 276.051, 265.545, 272.265, 273.161, 264.077, 
268.116, 268.385, 261.015, 266.217, 266.911, 259.724, 265.892, 
266.714, 259.602, 265.93, 266.352, 258.209, 265.537, 266.514, 
259.411, 265.687, 266.523, 259.761, 266.978, 267.459, 260.97, 
268.01, 268.949, 262.4, 271.867, 273.13, 264.803, 273.569, 274.153, 
266.979, 275.25, 276.353, 268.073, 274.926, 275.84, 269.625, 
279.424, 280.077, 271.785, 281.741, 283.068, 276.083, 284.162, 
285.239, 279.865, 291.741, 292.533, 291.52, 302.124, 303.538, 
300.685, 313.141, 314.802, 313.594, 327.048, 327.945, 325.593, 
339.796, 341.69, 341.58, 355.702, 357.585, 356.602, 381.738, 
383.413, 370.869, 394.752, 397.936, 391.659, 409.376, 411.739, 
415.584, 433.281, 434.461, 437.478, 454.368, 456.62, 445.173, 
427.865, 425.558, 383.004, 370.373, 369.531, 382.343, 399.016, 
401.239, 413.831, 422.157, 423.267, 432.015, 448.845, 449.967, 
0, 425.956, 482.75, 487.1, 501.178, 503.055, 0, 508.065, 42.339, 
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388.306, 392.859, 393.466, 473.545, 400.213, 395.325, 366.771, 
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391.207, 378.721, 394.352, 396.436, 384.581, 45.245, 0, 380.042, 
0, 375.485, 31.29, 0, 335.187, 0, 0, 0, 0, 323.048, 49.7, 0, 
359.169, 361.068, 361.195, 348.111, 362.176, 364.051, 383.932, 
392.518, 393.663, 349.699, 392.668, 395.532, 391.36, 396.741, 
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282.62, 283.278, 287.306, 282.107, 281.414, 290.288, 291.936, 
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289.022, 325.172, 329.992, 288.447, 295.19, 296.089, 322.57, 
298.091, 296.459, 321.394, 300.861, 298.123, 320.881, 300.679, 
297.985, 319.966, 296.464, 294.897, -164.893, -160.079, -159.437, 
278.924, 281.357, 281.682, 269.259, 274.752, 275.118, 267.165, 
265.143, 264.873, 258.509, 264.614, 265.429, 256.744, 266.259, 
266.893, 263.361, 301.473, 306.555, 262.416, 313.245, 320.022, 
281.712, 320.535, 323.123, -194.846, -521.034, -564.526, 274.367, 
278.267, 278.787, 264.133, 268.555, 268.85, 256.818, 266.194, 
267.444, 260.084, 265.714, 266.464, 262.669, 272.063, 272.689, 
-175.62, 225.568, 279.06, -159.431, 216.327, 266.428, 245.597, 
254.043, 254.606, 244.851, 255.798, 257.258, 248.152, 256.508, 
257.622, -319.948, 219.787, 255.769, 243.947, -235.689, -299.64, 
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252.524, 246.8, 258.72, 260.309, 257.726, 267.828, 269.175, 265.087, 
277.995, 278.856, 273.876, 287.09, 288.852, 280.858, 292.608, 
294.174, 246.387, 213.675, 211.494, 201.469, 209.375, 210.429, 
-217.38, -218.456, -218.6, -232.09, 196.612, 225.193, -248.699, 
166.3, 221.633, 213.54, 219.095, 219.836, -261.438, 192.469, 
222.729, -265.48, 164.234, 221.529, -254.99, -254.199, -254.094, 
209.197, -218.172, -246.663, 207.52, -196.823, -250.735, -261.477, 
163.4, 220.05, 210.838, 222.305, 223.069, -196.463, 176.753, 
226.515, 217.024, 249.012, 253.277, 203.798, 226.753, 228.283, 
241.225, 228.683, 227.011, 235.665, 243.606, 244.664, 212.621, 
240.812, 242.692, 207.285, 207.473, 207.498, 194.745, 202.346, 
203.359, 191.408, -221.759, -249.304, 186.022, 192.304, 193.141, 
182.101, 191.751, 193.037, -260.225, 162.901, 191.109, -252.884, 
141.317, 193.877, 186.754, 220.72, 225.249, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 0, 304.742, 0, 316.744, 48.73, 0, 334.833, 0, 
352.419, 54.218, 0, 368.749, 0, 378.178, 31.515, 0, 378.548, 
0, 339.912, 385.233, 406.951, 373.432, 368.963, 411.64, 362.786, 
359.529, 358.897, 353.738, 353.051, 336.054, 340.344, 340.915, 
335.944, 355.461, 356.762, 345.061, 372.321, 375.955, 376.513, 
404.13, 407.812, 416.338, 426.28, 426.943, 432.67, 429.483, 429.058, 
426.368, 425.226, 425.074, 416.298, 411.677, 411.369, 0, 345.327, 
53.127, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 183.69, 208.182, 0, 
261.561, 21.797, 0, 298.1, 0, 281.941, 43.375, 0, 314.226, 0, 
304.413, 46.833, 0, 374.171, 0, 368.525, 30.71, 0, 359.118, 0, 
367.905, 56.601, 0, 287.494, 0, 285.213, 43.879, 0, 0, 0, 0, 
0, 735.244, 113.115, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
0, 0, 0, 0, 0, 304.619, 0)), row.names = 31537:32536, class = "data.frame")

这应该为您提供了一种获取所需图像的方法。但是,我没有你原来的 TIFF,因此这里的对齐方式不正确,因为我不得不在你的问题中使用 cut-and-pasted 版本的 png。

反正我会用的方法是:

  1. 将图像转换为光栅
  2. 将栅格转换为 grid::rasterGrob
  3. 使用 annotation_custom
  4. 将 rasterGrob 绘制为 ggplot 中的第一层
  5. 正常绘制其他图层。

这是一个例子:

library(ggplot2)
library(rtiff)
library(grid)

x <- readTiff('F01_screenshot.tiff')
pic <- as.raster(array(c(x@red, x@green, x@blue), c(x@size, 3)))
picgrob <- rasterGrob(pic)

ggplot(eet2, aes(x=X, y= Y)) +
  annotation_custom(picgrob) +
  geom_point() + 
  stat_density2d() +
  coord_equal()

您可能需要缩放 Y 轴数据以使其与图片的纵横比匹配。

举个例子,如果我们假设 max(eet2$Y) 是图像的上边缘,min(eet2$Y) 是下边缘,还假设 min(eet2$X) 是左边缘 max(eet2$X) 右边缘(正如你在评论中所建议的那样),我们可以像这样将图片与数据结合起来:

pic_ratio <- dim(pic)[2]/dim(pic)[1]
data_ratio <- diff(range(eet2$X)) / diff(range(eet2$Y))

eet2$Y <- eet2$Y * data_ratio / pic_ratio
               
ggplot(eet2, aes(x=X, y= Y)) +
  annotation_custom(picgrob) +
  geom_point() + 
  stat_density2d() +
  coord_equal(xlim = range(eet2$X), ylim = range(eet2$Y))

如果此对齐不正确,那么我们需要数据中不存在的额外校准信息(即 eet2$Y 的值应该 代表顶部和底部图像,eet2$X 的值代表左右边缘。