Example 3D Convex Hull

The following program uses a d3_window to visualize the convex hull of a set of three-dimensional points. The following program generates a list L of 50 d3_rat_points in the ball with radius 75 centered at the orgin and computes the convex hull H of L. Then it uses a window W and a d3_window d3win to visualize the convex hull in 3D. On the right there is a screenshot of the program. Clicking on the picture shows the screenshot in original size.

#include <LEDA/geo/d3_hull.h>
#include <LEDA/graphics/d3_window.h>

using namespace leda;

int main()
{
  //construct a random set of points L
  list<d3_rat_point> L;
  random_d3_rat_points_in_ball(50,75,L);

  //construct convex hull H of L
  GRAPH<d3_rat_point,int> H;
  CONVEX_HULL(L,H);

  //open a window W
  window W(400,400,"d3 hull demo");
  W.init(-100,+100,-100);
  W.display(window::center,window::center);
		
  //extract the node positions into an array of vectors
  node_array<rat_vector> pos(H);
  node v;
  forall_nodes(v,H) pos[v]=H[v].to_vector();

  //and display H in a d3_window for window W
  d3_window d3win(W,H,pos);
  d3win.read_mouse();

  W.screenshot("d3_convex_hull");
	
  return 0;
}  

See also:

Convex Hull

Data Types for 3-D Geometry

Linear Lists

Windows and Panels

3 Dimensional Windows

Geometry

Number Types

Manual Entries

Manual Page 3D Convex Hull Algorithms

Manual Page Windows

Manual Page d3_window