MATLAB Mathematics - SERC - Index of

Interpolation
Functions for Analysis of Closest-Point Problems and Geometric Analysis
Function
delaunay3
dsearch
inpolygon
polyarea
rectint
tsearch
voronoi
Description
3-D Delaunay tessellation.
Nearest point search of Delaunay triangulation.
True for points inside polygonal region.
Area of polygon.
Area of intersection for two or more rectangles.
Closest triangle search.
Voronoi diagram.
This section applies the following techniques to the seamount data set supplied
with MATLAB:
• Convex hulls
• Delaunay triangulation
• Voronoi diagrams
See also “Tessellation and Interpolation of Scattered Data in Higher
Dimensions” on page 2-26.
Note Examples in this section use the MATLAB seamount data set.
Seamounts are underwater mountains. They are valuable sources of
information about marine geology. The seamount data set represents the
surface, in 1984, of the seamount designated LR148.8W located at 48.2°S,
148.8°W on the Louisville Ridge in the South Pacific. For more information
about the data and its use, see Parker [2].
The seamount data set provides longitude (x), latitude (y) and depth-in-feet (z)
data for 294 points on the seamount LR148.8W.
2-19