Plot Morse-Smale Complex from Function

Creates a comprehensive visualization of the Morse-Smale complex by plotting contour lines and gradient flow trajectories from a grid of sample points. Ascending trajectories (to maxima) are shown in red, descending trajectories (to minima) are shown in blue.

Usage

morse.smale.complex.plot(grid, mixture, n_sample_points = 20, ...)

Arguments

grid

Grid object created by create.grid containing x, y coordinates

mixture

Object containing:

• f: Function taking (x, y) and returning scalar value

• gradient: Function taking (x, y) and returning gradient vector c(dx, dy)

n_sample_points

Number of sample points along each axis for trajectory visualization

...

Additional arguments passed to function.contours.plot

Value

Invisible NULL

Examples

if (FALSE) { # \dontrun{
# Create a simple function with two critical points
grid <- create.grid(50)
mixture <- list(
  f = function(x, y) sin(3*pi*x) * cos(3*pi*y),
  gradient = function(x, y) {
    c(3*pi*cos(3*pi*x)*cos(3*pi*y),
      -3*pi*sin(3*pi*x)*sin(3*pi*y))
  }
)
morse.smale.complex.plot(grid, mixture, n_sample_points = 10)
} # }