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d1-optimal motion for a rod (extended abstract)
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Source Annual Symposium on Computational Geometry archive
Proceedings of the twelfth annual symposium on Computational geometry table of contents
Philadelphia, Pennsylvania, United States
Pages: 252 - 263  
Year of Publication: 1996
ISBN:0-89791-804-5
Authors
Tetsuo Asano  Osaka Electro-Communication University, Japan
David Kirkpatrick  University of British Columbia, Canada
Chee K. Yap  Courant Institute, New York University
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 2,   Downloads (12 Months): 12,   Citation Count: 1
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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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A. S. Besicovitch. On Kakeya's problem and a similar one. Mathematische Z~~tschrifi, 27:312-320, 1928.
 
2
J. Canny and J. H. Reif. New lower bound techniques for robot motion planning problems. IEEE Foundations of Computer Science, 28:49-60, 1987.
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C. Icking, G. Rote, E. Welzl, and C. Yap. Shortest paths for line segments. Algorithmica, 10:182-200, 1993.
 
5
J. O'Rourke. Finding a shortest ladder path: a special case. IMA Preprint Series 353, Institute for Mathematics and its Applications, University of Minnesota, 1987.
 
6
C. H. Papadimitriou and E. B. Silverberg. Optimal piecewise linear motion of an object among obstacles. Algorithmica, 2:523-539, 1987.
 
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J. H. Reif, J. D. Tygar, and A. Yoshida. Computability and complexity of ray tracing. Discrete Comput. Geom., 11:265-287, 1994.
 
8
J. T. Schwartz and M. Sharir. On the piano movers' problem: I. the case of a two-dimensional rigid polygonal body moving amidst polygonal barriers. Communications on Pure and Applied Mathematics, 36:345-398, 1983.
 
9
M. Sharir. A note on the Papadimitriou-Silverberg algorithm for planning optimal piecewise-linear motion of a ladder. NYU Robotics Report 188, Courant Institute, New York University, 1989.
 
10
M. Sharir, C. O'D'finlaing, and C. Yap. Generalized Voronoi diagrams for moving a ladder I: topological analysis. Communications in Pure and Applied Math., XXXIX:423-483, 1986.
 
11
M. Sharir, C. O'D'finlaing, and C. Yap. Generalized Voronoi diagrams for moving a ladder II: efficient computation of the diagram. Algorithmica, 2:27-59, 1987.
 
12
S. M. Ulam. Problems of Modern Mathematics. Science Editions, New York, 1964. Originally published as: A Collection of Mathematical Problems, Interscience Publishers, New York, 1960.
 
13
Chee Yap. Algorithmic motion planning. In J. T. Schwartz and C. K. Yap, editors, Advances in Robotics, Vol. 1: Algorithmic and geometric issues, chapter 3. Lawrence Erlbaum Associates, 1987.


Collaborative Colleagues:
Tetsuo Asano: colleagues
David Kirkpatrick: colleagues
Chee K. Yap: colleagues