Smooth2D function

Smooths a 2D field

Smooth a 2D field using a user-supplied method.

Smooth2D(x, y, value, method = smooth_svd(0.01))

smooth_dct(kx = 0.5, ky = kx)

smooth_svd(variance_lost = 0.01)

Arguments

• x, y: Vector of x and y coordinates
• value: Vector of values
• method: The method to use smooth. Must be a function that takes a matrix and returns the smoothed matrix. Build-in methods are smooth_svd() and smooth_dct().
• kx, ky: Proportion of components to keep in the x and y direction respectively. Lower values increase the smoothness.
• variance_lost: Maximum percentage of variance lost after smoothing.

Returns

A vector of the same length as value.

Details

smooth_svd() computes the SVD of the field and reconstructs it keeping only the leading values that ensures a maximum variance lost. smooth_dct() computes the Discrete Cosine Transform of the field and sets a proportion of the components to zero.

Examples

library(ggplot2)
# Creates a noisy version of the volcano dataset and applies the smooth
volcano <- reshape2::melt(datasets::volcano, value.name = "original")
volcano$noisy <- with(volcano, original + 1.5*rnorm(length(original)))

volcano$smooth_svd <- with(volcano, Smooth2D(Var2, Var1, noisy, method = smooth_svd(0.005)))
volcano$smooth_dct <- with(volcano, Smooth2D(Var2, Var1, noisy, method = smooth_dct(kx = 0.4)))

volcano <- reshape2::melt(volcano, id.vars = c("Var1", "Var2"))

ggplot(volcano, aes(Var1, Var2)) +
  geom_contour(aes(z = value, color = after_stat(level))) +
  scale_color_viridis_c() +
  coord_equal() +
  facet_wrap(~variable, ncol = 2)