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MATLAB Mathematics - SERC - Index of

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Interpolation<br />

You can use cameramenu to rotate the figure in any direction.<br />

Voronoi Diagrams<br />

Given m data points in n-dimensional space, a Voronoi diagram is the partition<br />

<strong>of</strong> n-dimensional space into m polyhedral regions, one region for each data<br />

point. Such a region is called a Voronoi cell. A Voronoi cell satisfies the<br />

condition that it contains all points that are closer to its data point than any<br />

other data point in the set.<br />

Computing a Voronoi Diagram. The voronoin function returns two outputs:<br />

• V is an m-by-n matrix <strong>of</strong> m points in n-space. Each row <strong>of</strong> V represents a<br />

Voronoi vertex.<br />

• C is a cell array <strong>of</strong> vectors. Each vector in the cell array C represents a Voronoi<br />

cell. The vector contains indices <strong>of</strong> the points in V that are the vertices <strong>of</strong> the<br />

Voronoi cell. Each Voronoi cell may have a different number <strong>of</strong> points.<br />

2-31

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