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Geometric algorithms for digitized pictures on a mesh-connected computer.

R Miller¹, Q F Stout

¹Department of Mathematical Sciences, State University of New York, Binghamton, NY 13901.

IEEE Transactions on Pattern Analysis and Machine Intelligence

|August 27, 2011

Summary

This summary is machine-generated.

Mesh-connected computers excel at high-level image processing, offering optimal algorithms for geometric property computation. These new algorithms significantly outperform previous methods on mesh-connected and serial computers.

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Area of Science:

Computer Science
Image Processing
Parallel Computing

Background:

Mesh-connected computers are typically used for low-level image processing.
Their potential for higher-level tasks remains largely unexplored.

Purpose of the Study:

To demonstrate the suitability of mesh-connected computers for advanced image processing.
To develop and present novel, optimal algorithms for geometric property computation.

Main Methods:

Development of O-notation optimal algorithms for an n x n mesh-connected computer.
Application to various geometric properties of figures in digital images.

Main Results:

Achieved O(n) time complexity for algorithms determining convex hull properties, linear separability, convexity, distances, path counting, and diameters.
Significantly improved upon previous O(n^2) or non-existent algorithms.

Conclusions:

Mesh-connected computers offer superior performance for complex image analysis tasks.
The developed algorithms provide efficient solutions compared to traditional serial processing.