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Volumn 26, Issue 3, 2001, Pages 269-281

Locked and unlocked polygonal chains in three dimensions

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EID: 0035601782     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00454-001-0038-7     Document Type: Article
Times cited : (30)

References (35)
  • 4
    • 84947931726 scopus 로고    scopus 로고
    • Drawing nice projections of objects in space
    • Lecture Notes Computer Science, Springer-Verlag, Berlin
    • P. Bose, F. Gomez, P. Ramos, and G. T. Toussaint. Drawing nice projections of objects in space. In Graph Drawing (Proc. GD '95). vol. 1027 of Lecture Notes Computer Science, pp. 52-63. Springer-Verlag, Berlin, 1996.
    • (1996) Graph Drawing (Proc. Gd '95) , vol.1027 , pp. 52-63
    • Bose, P.1    Gomez, F.2    Ramos, P.3    Toussaint, G.T.4
  • 5
    • 0003767840 scopus 로고
    • ACM-MIT Press Doctoral Dissertation Award Series. MIT Press, Cambridge, MA
    • J. Canny. The Complexity of Robot Motion Planning. ACM-MIT Press Doctoral Dissertation Award Series. MIT Press, Cambridge, MA, 1987.
    • (1987) The Complexity of Robot Motion Planning
    • Canny, J.1
  • 8
    • 1542575510 scopus 로고    scopus 로고
    • Nontrivial embeddings of polygonal intervals and unknots in 3-space
    • J. Cantarella and H. Johnston. Nontrivial embeddings of polygonal intervals and unknots in 3-space. J. Knot Theory Ramifications, vol. 7, pp. 1027-1039, 1998.
    • (1998) J. Knot Theory Ramifications , vol.7 , pp. 1027-1039
    • Cantarella, J.1    Johnston, H.2
  • 10
    • 0002268787 scopus 로고    scopus 로고
    • Polygonal chains cannot lock in 4d
    • Extended abstract. Full version: LANL/CoRR paper cs.CG/9908005
    • R. Cocan and J. O'Rourke. Polygonal chains cannot lock in 4d. In Proc. 11th Canad. Conf. Computational Geometry, 1999. Extended abstract. Full version: LANL/CoRR paper cs.CG/9908005.
    • (1999) Proc. 11th Canad. Conf. Computational Geometry
    • Cocan, R.1    O'Rourke, J.2
  • 11
    • 0004223416 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • P. Cromwell. Polyhedra. Cambridge University Press, Cambridge, 1997.
    • (1997) Polyhedra
    • Cromwell, P.1
  • 13
    • 0040340046 scopus 로고
    • Problem 3763
    • P. Erdos. Problem 3763, Amer. Math. Monthly, vol. 42, p. 627, 1935.
    • (1935) Amer. Math. Monthly , vol.42 , pp. 627
    • Erdos, P.1
  • 14
    • 0001441635 scopus 로고
    • On the geometry of the planar 4-bar mechanism
    • C. C. Gibson and P. E. Newstead. On the geometry of the planar 4-bar mechanism. Acta Appl. Math., vol. 7, pp. 113-135, 1986.
    • (1986) Acta Appl. Math. , vol.7 , pp. 113-135
    • Gibson, C.C.1    Newstead, P.E.2
  • 15
    • 0012915578 scopus 로고
    • How to convexify a polygon
    • July
    • B. Grünbaum. How to convexify a polygon. Geombinatorics, vol. 5, pp. 24-30, July 1995.
    • (1995) Geombinatorics , vol.5 , pp. 24-30
    • Grünbaum, B.1
  • 16
  • 17
    • 0022061705 scopus 로고
    • On the movement of robotic arms in 2-dimensional bounded regions
    • J. E. Hopcroft, D. A. Joseph, and S. H. Whitesides. On the movement of robotic arms in 2-dimensional bounded regions. SIAM J. Comput., vol. 14, pp. 315-333, 1985.
    • (1985) SIAM J. Comput. , vol.14 , pp. 315-333
    • Hopcroft, J.E.1    Joseph, D.A.2    Whitesides, S.H.3
  • 19
    • 2842542544 scopus 로고    scopus 로고
    • Reaching a point with an unanchored robot arm in a square
    • V. Kantabutra. Reaching a point with an unanchored robot arm in a square. Internat. J. Comput. Geom., vol. 7, pp. 539-550, 1997.
    • (1997) Internat. J. Comput. Geom. , vol.7 , pp. 539-550
    • Kantabutra, V.1
  • 22
    • 0003709857 scopus 로고
    • The Mathematical Association of America, Washington, DC
    • C. Livingston. Knot Theory. The Mathematical Association of America, Washington, DC, 1993.
    • (1993) Knot Theory
    • Livingston, C.1
  • 24
    • 51249165461 scopus 로고
    • Reconfiguring closed polygonal chains in Euclidean d-space
    • W. J. Lenhart and S. H. Whitesides. Reconfiguring closed polygonal chains in Euclidean d-space. Discrete Comput. Geom., vol. 13, pp. 123-140, 1995.
    • (1995) Discrete Comput. Geom. , vol.13 , pp. 123-140
    • Lenhart, W.J.1    Whitesides, S.H.2
  • 26
    • 0038049577 scopus 로고
    • Knotting of regular polygons in 3-space
    • K. Millett. Knotting of regular polygons in 3-space. J. Knot Theory Ramifications, vol. 3, 1994, pp. 263-278.
    • (1994) J. Knot Theory Ramifications , vol.3 , pp. 263-278
    • Millett, K.1
  • 28
    • 0012962476 scopus 로고
    • Solution to problem 3763
    • B. de Sz. Nagy. Solution to problem 3763, Amer. Math. Monthly, vol. 46, pp. 176-177, 1939.
    • (1939) Amer. Math. Monthly , vol.46 , pp. 176-177
    • De Sz Nagy, B.1
  • 29
    • 0000500980 scopus 로고
    • Stretching chords of space curves
    • G.T. Sallee. Stretching chords of space curves. Geom. Dedicata, vol. 2, pp. 311-315, 1973.
    • (1973) Geom. Dedicata , vol.2 , pp. 311-315
    • Sallee, G.T.1
  • 30
    • 0347647219 scopus 로고
    • On the "piano movers" problem. II: General techniques for computing topological properties of real algebraic manifolds
    • J. T. Schwartz and M. Sharir. On the "piano movers" problem. II: General techniques for computing topological properties of real algebraic manifolds. Adv. Appl. Math., vol. 4, pp. 298-351, 1983.
    • (1983) Adv. Appl. Math. , vol.4 , pp. 298-351
    • Schwartz, J.T.1    Sharir, M.2
  • 31
    • 0034504512 scopus 로고    scopus 로고
    • A combinatorial approach to planar non-colliding robot arm motion planning
    • Nov. 12-14
    • I. Streinu. A combinatorial approach to planar non-colliding robot arm motion planning. In Proc. IEEE Symp. Foundations of Computer Science (FOCS), Nov. 12-14, 2000, pp. 443-153.
    • (2000) Proc. IEEE Symp. Foundations of Computer Science (FOCS) , pp. 443-1153
    • Streinu, I.1
  • 33
    • 0039155559 scopus 로고    scopus 로고
    • A new class of stuck unknots in Pol-6
    • (also known as Contrib. Algebra Geom.), to appear
    • G. T. Toussaint. A new class of stuck unknots in Pol-6. Beiträge Algebra Geom. (also known as Contrib. Algebra Geom.), to appear, 2001.
    • (2001) Beiträge Algebra Geom.
    • Toussaint, G.T.1
  • 34
    • 0039855529 scopus 로고
    • Algorithmic issues in the geometry of planar linkage movement
    • S. H. Whitesides. Algorithmic issues in the geometry of planar linkage movement. Austral. Comput. J., vol. 24, pp. 42-50, 1992.
    • (1992) Austral. Comput. J. , vol.24 , pp. 42-50
    • Whitesides, S.H.1
  • 35
    • 0010251249 scopus 로고    scopus 로고
    • Rigidity and scene analysis
    • J. E. Goodman and J. O'Rourke, editors, chapter 49, CRC Press, Boca Raton, FL
    • W. Whiteley. Rigidity and scene analysis. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 49, pp. 893-916, CRC Press, Boca Raton, FL, 1997.
    • (1997) Handbook of Discrete and Computational Geometry , pp. 893-916
    • Whiteley, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.