MATLAB Mathematics - SERC - Index of

Interpolation
enclosing triangle for the point (211.32, -48.35) to obtain the coordinates of
the vertices of the triangle:
xi = 211.32; yi = -48.35;
t = tsearch(x,y,tri,xi,yi);
r = tri(t,:);
A = [x(r) y(r)]
A =
211.3000 -48.3000
211.3400 -48.3700
211.2800 -48.3200
Voronoi Diagrams
Voronoi diagrams are a closest-point plotting technique related to Delaunay
triangulation.
For each point in a set of coplanar points, you can draw a polygon that encloses
all the intermediate points that are closer to that point than to any other point
in the set. Such a polygon is called a Voronoi polygon, and the set of all Voronoi
polygons for a given point set is called a Voronoi diagram.
The voronoi function can plot the cells of the Voronoi diagram, or return the
vertices of the edges of the diagram. This example loads the seamount data,
then uses the voronoi function to produce the Voronoi diagram for the
longitudinal (x) and latitudinal (y) dimensions. Note that voronoi plots only
the bounded cells of the Voronoi diagram:
load seamount
voronoi(x,y)
grid on
xlabel('Longitude'), ylabel('Latitude')
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