Fast Bounded Power Diagram

Optimised version of bounded power diagram for large number of sites

You are now following this Submission

The code obtains power diagram of sites bounded with a rectangular or a square bounding box.
This is the optimised version of power diagram for large number of sites (e.g. 10000 or more). In my computer, it finishes the function with 1 million sites within 16s. An empirical test shows that the running time is O(N^(2/3)) with N is the number of sites.

Cite As

Firman (2026). Fast Bounded Power Diagram (https://in.mathworks.com/matlabcentral/fileexchange/56633-fast-bounded-power-diagram), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired by: VoronoiLimit(varargin), Power Diagrams

Categories

Find more on Partial Differential Equation Toolbox in Help Center and MATLAB Answers

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.1.0.0

Update the picture and the description only.
update the description
Included the clip_polygons function, and added a file to demonstrate the function
Update the title

1.0.0.0