Sorting on a mesh-connected parallel computer
Communications of the ACM
On shrinking binary picture patterns
Communications of the ACM
Fast parallel processing array algorithms for some graph problems(Preliminary Version)
STOC '79 Proceedings of the eleventh annual ACM symposium on Theory of computing
Mesh Computer Algorithms for Computational Geometry
IEEE Transactions on Computers
A Classical Construction for the Digital Fundamental Group
Journal of Mathematical Imaging and Vision
Properties of Digital Homotopy
Journal of Mathematical Imaging and Vision
Digital Products, Wedges, and Covering Spaces
Journal of Mathematical Imaging and Vision
The Classification of Digital Covering Spaces
Journal of Mathematical Imaging and Vision
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There is a lot of practical and theoretical interest in designing algorithms to process digital pictures. Of particular interest are problems arising when one starts with an nxn array of pixels and stores it, one pixel per processor, in some sort of array-like parallel computer. In this paper we give an optimal &thgr;(n) time solution, based on a simpler &thgr;(n) time solution for a more powerful computer called a mesh computer. Beyer suggested that this problem was a prime candidate for a non-linear recognition problem, but our result shows that this is not true.