Generating Planar Terrain Mesh
Given a gray scale heightmap, I need a planar triangulated mesh to serve as the base for a terrain object + shader to be used in the above webapp.
I already have some tools to abstract a heightmap from an image. I’m going to start with a smaller version of the terrain image file which I’ve converted to grayscale:
if (file.exists("data/terrain-small.png")) {
small_input <- "data/terrain-small.png"
} else {
small_input <- file.choose()
}
image <- data.frame(png::readPNG(small_input))
cat(paste0('<img src="/post/', small_input, '" style="float: right; width:256px; padding: 1%;" />'))
## [1] 128## [1] 128## 'data.frame': 128 obs. of 128 variables:
## $ X1 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X2 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X3 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X4 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X5 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X6 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X7 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X8 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X9 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X10 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X11 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X12 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X13 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X14 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X15 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X16 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X17 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X18 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X19 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X20 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X21 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X22 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X23 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X24 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X25 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X26 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X27 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X28 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X29 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X30 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X31 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X32 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X33 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X34 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X35 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X36 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X37 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X38 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X39 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X40 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X41 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X42 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X43 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X44 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X45 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X46 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X47 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X48 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X49 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X50 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X51 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X52 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X53 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X54 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X55 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X56 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X57 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X58 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X59 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X60 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X61 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X62 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X63 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X64 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X65 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X66 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X67 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X68 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X69 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X70 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X71 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X72 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X73 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X74 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X75 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X76 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X77 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X78 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X79 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X80 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X81 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X82 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X83 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X84 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X85 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X86 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X87 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X88 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X89 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X90 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X91 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X92 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X93 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X94 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X95 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X96 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X97 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X98 : num 0 0 0 0 0 0 0 0 0 0 ...
## $ X99 : num 0 0 0 0 0 0 0 0 0 0 ...
## [list output truncated]Now for every point in the image, I need to create coordinates for a 3d vertex (x, y, z), a normal for each vertex and texture coordinates (s, t) for each vertex:
mapHeight <- function (image_map, image_width, image_height) {
# make a 1.0 x 1.0 plane starting at (0, 0, 0)... z is up
heights <- matrix(nrow = image_width, ncol = image_height)
for (y in 1:image_height) {
for (x in 1:image_width) {
heights[y, x] <- round(image_map[y, x], 6)
}
}
for (y in 1:image_height) {
for (x in 1:image_width) {
# vertices (x, y, z)
# z is "up", and png y coordinate system is reverse of WebGL
print(paste0(round((x / image_width), 6), ", ", round(y / image_height, 6), ", ", heights[(image_width + 1) - y, x]))
# normals
print(paste0(0.0, ", ", 0.0, ", ", 1.0)) # z is "up"
# texture coordinates (s, t)
print(paste0(round((x / image_width), 6), ", ", round(y / image_height, 6)))
}
}
heights
}## [1] "0.007812, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.007812, 0.007812"
## [1] "0.015625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.015625, 0.007812"
## [1] "0.023438, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.023438, 0.007812"
## [1] "0.03125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.03125, 0.007812"
## [1] "0.039062, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.039062, 0.007812"
## [1] "0.046875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.046875, 0.007812"
## [1] "0.054688, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.054688, 0.007812"
## [1] "0.0625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.0625, 0.007812"
## [1] "0.070312, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.070312, 0.007812"
## [1] "0.078125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.078125, 0.007812"
## [1] "0.085938, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.085938, 0.007812"
## [1] "0.09375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.09375, 0.007812"
## [1] "0.101562, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.101562, 0.007812"
## [1] "0.109375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.109375, 0.007812"
## [1] "0.117188, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.117188, 0.007812"
## [1] "0.125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.125, 0.007812"
## [1] "0.132812, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.132812, 0.007812"
## [1] "0.140625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.140625, 0.007812"
## [1] "0.148438, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.148438, 0.007812"
## [1] "0.15625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.15625, 0.007812"
## [1] "0.164062, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.164062, 0.007812"
## [1] "0.171875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.171875, 0.007812"
## [1] "0.179688, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.179688, 0.007812"
## [1] "0.1875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.1875, 0.007812"
## [1] "0.195312, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.195312, 0.007812"
## [1] "0.203125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.203125, 0.007812"
## [1] "0.210938, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.210938, 0.007812"
## [1] "0.21875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.21875, 0.007812"
## [1] "0.226562, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.226562, 0.007812"
## [1] "0.234375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.234375, 0.007812"
## [1] "0.242188, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.242188, 0.007812"
## [1] "0.25, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.25, 0.007812"
## [1] "0.257812, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.257812, 0.007812"
## [1] "0.265625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.265625, 0.007812"
## [1] "0.273438, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.273438, 0.007812"
## [1] "0.28125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.28125, 0.007812"
## [1] "0.289062, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.289062, 0.007812"
## [1] "0.296875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.296875, 0.007812"
## [1] "0.304688, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.304688, 0.007812"
## [1] "0.3125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.3125, 0.007812"
## [1] "0.320312, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.320312, 0.007812"
## [1] "0.328125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.328125, 0.007812"
## [1] "0.335938, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.335938, 0.007812"
## [1] "0.34375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.34375, 0.007812"
## [1] "0.351562, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.351562, 0.007812"
## [1] "0.359375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.359375, 0.007812"
## [1] "0.367188, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.367188, 0.007812"
## [1] "0.375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.375, 0.007812"
## [1] "0.382812, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.382812, 0.007812"
## [1] "0.390625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.390625, 0.007812"
## [1] "0.398438, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.398438, 0.007812"
## [1] "0.40625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.40625, 0.007812"
## [1] "0.414062, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.414062, 0.007812"
## [1] "0.421875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.421875, 0.007812"
## [1] "0.429688, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.429688, 0.007812"
## [1] "0.4375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.4375, 0.007812"
## [1] "0.445312, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.445312, 0.007812"
## [1] "0.453125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.453125, 0.007812"
## [1] "0.460938, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.460938, 0.007812"
## [1] "0.46875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.46875, 0.007812"
## [1] "0.476562, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.476562, 0.007812"
## [1] "0.484375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.484375, 0.007812"
## [1] "0.492188, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.492188, 0.007812"
## [1] "0.5, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.5, 0.007812"
## [1] "0.507812, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.507812, 0.007812"
## [1] "0.515625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.515625, 0.007812"
## [1] "0.523438, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.523438, 0.007812"
## [1] "0.53125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.53125, 0.007812"
## [1] "0.539062, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.539062, 0.007812"
## [1] "0.546875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.546875, 0.007812"
## [1] "0.554688, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.554688, 0.007812"
## [1] "0.5625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.5625, 0.007812"
## [1] "0.570312, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.570312, 0.007812"
## [1] "0.578125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.578125, 0.007812"
## [1] "0.585938, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.585938, 0.007812"
## [1] "0.59375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.59375, 0.007812"
## [1] "0.601562, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.601562, 0.007812"
## [1] "0.609375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.609375, 0.007812"
## [1] "0.617188, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.617188, 0.007812"
## [1] "0.625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.625, 0.007812"
## [1] "0.632812, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.632812, 0.007812"
## [1] "0.640625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.640625, 0.007812"
## [1] "0.648438, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.648438, 0.007812"
## [1] "0.65625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.65625, 0.007812"
## [1] "0.664062, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.664062, 0.007812"
## [1] "0.671875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.671875, 0.007812"
## [1] "0.679688, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.679688, 0.007812"
## [1] "0.6875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.6875, 0.007812"
## [1] "0.695312, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.695312, 0.007812"
## [1] "0.703125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.703125, 0.007812"
## [1] "0.710938, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.710938, 0.007812"
## [1] "0.71875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.71875, 0.007812"
## [1] "0.726562, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.726562, 0.007812"
## [1] "0.734375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.734375, 0.007812"
## [1] "0.742188, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.742188, 0.007812"
## [1] "0.75, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.75, 0.007812"
## [1] "0.757812, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.757812, 0.007812"
## [1] "0.765625, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.765625, 0.007812"
## [1] "0.773438, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.773438, 0.007812"
## [1] "0.78125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.78125, 0.007812"
## [1] "0.789062, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.789062, 0.007812"
## [1] "0.796875, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.796875, 0.007812"
## [1] "0.804688, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.804688, 0.007812"
## [1] "0.8125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.8125, 0.007812"
## [1] "0.820312, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.820312, 0.007812"
## [1] "0.828125, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.828125, 0.007812"
## [1] "0.835938, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.835938, 0.007812"
## [1] "0.84375, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.84375, 0.007812"
## [1] "0.851562, 0.007812, 0"
## [1] "0, 0, 1"
## [1] "0.851562, 0.007812"
## [1] "0.859375, 0.007812, 0"
## [1] "0, 0, 1"
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