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Thick non-crossing paths and minimum-cost flows in polygonal domains
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Annual Symposium on Computational Geometry archive
Proceedings of the twenty-third annual symposium on Computational geometry table of contents
Gyeongju, South Korea
SESSION: Session 2 table of contents
Pages: 56 - 65  
Year of Publication: 2007
ISBN:978-1-59593-705-6
Authors
Valentin Polishchuk  Helsinki Institute for Information Technology, Helsinki, Finland
Joseph S.B. Mitchell  Stony Brook University, Stony Brook, NY
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
ACM: Association for Computing Machinery
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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[1] P. K. Agarwal and M. Sharir. Arrangements and their applications. In J.-R. Sack and J. Urrutia, editors, Handbook of Computational Geometry, pages 49-119. Elsevier Science B.V. North-Holland, Amsterdam, 2000.
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[3] O. Bastert and S. P. Fekete. Geometric wire routing. Technical Report 332, Zentrum für Angewandte Informatik, 1998.
 
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[5] S. Bespamyatnikh. Encoding homotopy of paths in the plane. In Proc. LATIN '04, LNCS 2976, pages 329-338, 2004.
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[7] F. Chin, J. Snoeyink, and C. A. Wang. Finding the medial axis of a simple polygon in linear time. Discrete Comput. Geom., 21(3):405-420, 1999.
 
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[8] R. Cole and A. Siegel. River routing every which way, but loose. In Proc. 25th Annu. IEEE Sympos. Found. Comput. Sci., pages 65-73, 1984.
 
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[15] S. Hirsch and E. Leiserowitz. Exact construction of minkowski sums of polygons and a disc with application to motion planning. Technical report ECG-TR181205-01, Tel-Aviv University, 2002.
 
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[25] J. S. B. Mitchell. Geometric shortest paths and network optimization. In J.-R. Sack and J. Urrutia, editors, Handbook of Computational Geometry, pages 633-701. Elsevier Science B.V. North-Holland, Amsterdam, 2000.
 
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[26] V. Polishchuk. Thick Non-Crossing Paths and Minimum-Cost Continuous Flows in Geometric Domains. PhD thesis. Stony Brook University, 2007.
 
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[27] E. Papadopoulou. Personal communication.
 
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[28] E. Papadopoulou. k-pairs non-crossing shortest paths in a simple polygon. Int. J. Comp. Geom. Appl., 9(6):533-552, 1999.
 
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[29] G. Strang. Maximal flow through a domain. Math. Program., 26:123-143, 1983.
 
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[31] C. D. Yang, D. T. Lee, and C. K. Wong. On bends and lengths of rectilinear paths: a graph theoretic approach. Internat. J. Comput. Geom. Appl., 2(1):61-74, 1992.


Collaborative Colleagues:
Valentin Polishchuk: colleagues
Joseph S.B. Mitchell: colleagues