Parallel Mesh Algorithms for Grid Graph Shortest Paths with Application to Separation of Touching Chromosomes

  • Authors:
  • Hongchi Shi;Paul Gader;Hongzheng Li

  • Affiliations:
  • University of Missouri-Columbia E-mail: shi@cecs.missouri.edu;University of Missouri-Columbia E-mail: gader@cecs.missouri.edu;University of Missouri-Columbia E-mail: li@cecs.missouri.edu

  • Venue:
  • The Journal of Supercomputing
  • Year:
  • 1998

Quantified Score

Hi-index 0.00

Visualization

Abstract

The grid graph shortest path problem has many applications. In thispaper, we present practical mesh algorithms using a local cost-reducingoperation for various forms of the grid graph shortest path problem. Thealgorithms are very simple and can easily mark the vertices on shortestpaths between any two vertices. The time complexity of the algorithm isproportional to the maximum length of the shortest paths with a very smallmultiplicative constant. Also in this paper, we discuss the application ofthe parallel algorithms in automatic chromosome analysis to intelligentlysplit touching chromosomes. We identify local features useful for finding apotential path to separate touching chromosomes. We then define a distancemeasure based on the local features and find the best splitting path to cuttouching chromosomes. The splitting algorithm only uses local informationand is highly parallel.