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Volumn 30, Issue 2, 2003, Pages 205-239

Straightening Polygonal Arcs and Convexifying Polygonal Cycles

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EID: 0037520759     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00454-003-0006-7     Document Type: Conference Paper
Times cited : (99)

References (72)
  • 4
    • 21844517139 scopus 로고
    • Linear-size nonobtuse triangulation of polygons
    • [BMR]
    • [BMR] Marshall Bern, Scott Mitchell, and Jim Ruppert. Linear-size nonobtuse triangulation of polygons. Discrete & Computational Geometry, 14(4):411-428, 1995.
    • (1995) Discrete & Computational Geometry , vol.14 , Issue.4 , pp. 411-428
    • Bern, M.1    Mitchell, S.2    Ruppert, J.3
  • 5
    • 33646612060 scopus 로고    scopus 로고
    • Two-distance preserving functions from Euclidean space
    • [BC]
    • [BC] Károly Bezdek and Robert Connelly. Two-distance preserving functions from Euclidean space. Periodica Mathematica Hungarica, 39(1-3):185-200, 1999.
    • (1999) Periodica Mathematica Hungarica , vol.39 , Issue.1-3 , pp. 185-200
    • Bezdek, K.1    Connelly, R.2
  • 6
    • 0035601782 scopus 로고    scopus 로고
    • Locked and unlocked polygonal chains in three dimensions
    • +1] The full version is Technical Report 060, Smith College, 1999, and arXiv:cs.CG/9910009
    • +1] Therese Biedl, Erik Demaine, Martin Demaine, Sylvain Lazard, Anna Lubiw, Joseph O'Rourke, Mark Overmars, Steve Robbins, Ileana Streinu, Godfried Toussaint, and Sue Whitesides. Locked and unlocked polygonal chains in three dimensions. Discrete & Computational Geometry, 26(3):283-287, 2001. The full version is Technical Report 060, Smith College, 1999, and arXiv:cs.CG/9910009, http://www.arXiv.org/abs/cs.CG/9910009
    • (2001) Discrete & Computational Geometry , vol.26 , Issue.3 , pp. 283-287
    • Biedl, T.1    Demaine, E.2    Demaine, M.3    Lazard, S.4    Lubiw, A.5    O'Rourke, J.6    Overmars, M.7    Robbins, S.8    Streinu, I.9    Toussaint, G.10    Whitesides, S.11
  • 8
    • 84958056826 scopus 로고    scopus 로고
    • Convexifying monotone polygons
    • +]. Proceedings of the 10th Annual International Symposium on Algorithms and Computation, Chennai, India, December. An expanded version is Technical Report CS-99-03, Department of Computer Science, University of Waterloo, 1999
    • +] Therese C. Biedl, Erik D. Demaine, Sylvain Lazard, Steven M. Robbins, and Michael A. Soss. Convexifying monotone polygons. In Proceedings of the 10th Annual International Symposium on Algorithms and Computation, Chennai, India, volume 1741 of Lecture Notes in Computer Science, pages 415-424, December 1999. An expanded version is Technical Report CS-99-03, Department of Computer Science, University of Waterloo, 1999.
    • (1999) Lecture Notes in Computer Science , vol.1741 , pp. 415-424
    • Biedl, T.C.1    Demaine, E.D.2    Lazard, S.3    Robbins, S.M.4    Soss, M.A.5
  • 9
    • 33646612830 scopus 로고    scopus 로고
    • Straightening visible chains under constraints
    • [BDST] Department of Computer Science, University of Waterloo
    • [BDST] Therese C. Biedl, Erik D. Demaine, Michael A. Soss, and Godfried T. Toussaint. Straightening visible chains under constraints. Technical Report CS-99-08, Department of Computer Science, University of Waterloo, 1999.
    • (1999) Technical Report , vol.CS-99-08
    • Biedl, T.C.1    Demaine, E.D.2    Soss, M.A.3    Toussaint, G.T.4
  • 10
    • 0016048166 scopus 로고
    • Implicit function theorems for mathematical programming and for systems of inequalities
    • [BS]
    • [BS] James H. Bigelow and Norman Z. Shapiro. Implicit function theorems for mathematical programming and for systems of inequalities. Mathematical Programming, 6:141-156, 1974.
    • (1974) Mathematical Programming , vol.6 , pp. 141-156
    • Bigelow, J.H.1    Shapiro, N.Z.2
  • 11
    • 1542575510 scopus 로고    scopus 로고
    • Nontrivial embeddings of polygonal intervals and unknots in 3-space
    • [CJ]
    • [CJ] Jason Cantarella and Heather Johnston. Nontrivial embeddings of polygonal intervals and unknots in 3-space. Journal of Knot Theory and Its Ramifications, 7(8): 1027-1039, 1998.
    • (1998) Journal of Knot Theory and Its Ramifications , vol.7 , Issue.8 , pp. 1027-1039
    • Cantarella, J.1    Johnston, H.2
  • 12
    • 0001997277 scopus 로고
    • Deuxième mémoire sur les polygones et polyèdres
    • [Cau] May
    • [Cau] Augustin Louis Cauchy. Deuxième mémoire sur les polygones et polyèdres (Second memoir on polygons and polyhedra). Journal de l'École Polytechnique, 9:87-98, May 1813.
    • (1813) Journal de l'École Polytechnique , vol.9 , pp. 87-98
    • Cauchy, A.L.1
  • 14
    • 0002268787 scopus 로고    scopus 로고
    • Polygonal chains cannot lock in 4D
    • [CO2] Smith College, February
    • [CO2] Roxana Cocan and Joseph O'Rourke. Polygonal chains cannot lock in 4D. Technical Report 063, Smith College, February 2001, http://www.arXiv.org/abs/cs.CG/9908005.
    • (2001) Technical Report , vol.63
    • Cocan, R.1    O'Rourke, J.2
  • 15
    • 0011616507 scopus 로고
    • The rigidity of certain cabled frameworks and the second-order rigidity of arbitrarily triangulated convex surfaces
    • [Con1]
    • [Con1] Robert Connelly. The rigidity of certain cabled frameworks and the second-order rigidity of arbitrarily triangulated convex surfaces. Advances in Mathematics, 37(3):272-299, 1980.
    • (1980) Advances in Mathematics , vol.37 , Issue.3 , pp. 272-299
    • Connelly, R.1
  • 16
    • 0002860073 scopus 로고
    • Rigidity and energy
    • [Con2]
    • [Con2] Robert Connelly. Rigidity and energy. Inventiones Mathematicae, 66(1): 11-33, 1982.
    • (1982) Inventiones Mathematicae , vol.66 , Issue.1 , pp. 11-33
    • Connelly, R.1
  • 17
    • 0002909309 scopus 로고
    • Rigidity
    • [Con3] In Peter M. Gruber and Jörg M. Wills, editors. North-Holland, Amsterdam
    • [Con3] Robert Connelly. Rigidity. In Peter M. Gruber and Jörg M. Wills, editors, Handbook of Convex Geometry, volume A, pages 223-271. North-Holland, Amsterdam, 1993.
    • (1993) Handbook of Convex Geometry , vol.A , pp. 223-271
    • Connelly, R.1
  • 19
    • 4243423661 scopus 로고    scopus 로고
    • Straightening polygonal arcs and convexifying polygonal cycles
    • [CDR2] Freie Universität Berlin
    • [CDR2] Robert Connelly, Erik D. Demaine, and Günter Rote. Straightening polygonal arcs and convexifying polygonal cycles. Technical Report B02-02, Freie Universität Berlin, 2002.
    • (2002) Technical Report , vol.B02-02
    • Connelly, R.1    Demaine, E.D.2    Rote, G.3
  • 20
    • 0041323040 scopus 로고    scopus 로고
    • Infinitesimally locked self-touching linkages with applications to locked trees
    • 3, American Mathematical Society, Providence, RI
    • 3, pp. 287-311. Contempory Mathematics, vol. 304, American Mathematical Society, Providence, RI, 2002.
    • (2002) Contempory Mathematics , vol.304 , pp. 287-311
    • Connelly, R.1    Demaine, E.D.2    Rote, G.3
  • 21
    • 0030369928 scopus 로고    scopus 로고
    • Second-order rigidity and prestress tensegrity frameworks
    • [CW1]
    • [CW1] Robert Connelly and Walter Whiteley. Second-order rigidity and prestress tensegrity frameworks. SIAM Journal on Discrete Mathematics, 9(3):453-491, 1996.
    • (1996) SIAM Journal on Discrete Mathematics , vol.9 , Issue.3 , pp. 453-491
    • Connelly, R.1    Whiteley, W.2
  • 22
    • 0002237781 scopus 로고
    • Statics of frameworks and motions of panel structures, a projective geometric introduction (with a French translation)
    • [CW2]
    • [CW2] Henry Crapo and Walter Whiteley. Statics of frameworks and motions of panel structures, a projective geometric introduction (with a French translation). Structural Topology, 6:43-82, 1982.
    • (1982) Structural Topology , vol.6 , pp. 43-82
    • Crapo, H.1    Whiteley, W.2
  • 23
    • 0001878937 scopus 로고
    • Autocontraintes planes et polyèdres projetés. I. Le motif de base
    • [CW3]
    • [CW3] Henry Crapo and Walter Whiteley. Autocontraintes planes et polyèdres projetés. I. Le motif de base (Plane self-stresses and projected polyhedra. I. The basic pattern). Structural Topology, 20:55-78, 1993.
    • (1993) Structural Topology , vol.20 , pp. 55-78
    • Crapo, H.1    Whiteley, W.2
  • 24
    • 0001295603 scopus 로고
    • Spaces of stresses, projections and parallel drawings for spherical polyhedra
    • [CW4]
    • [CW4] Henry Crapo and Walter Whiteley. Spaces of stresses, projections and parallel drawings for spherical polyhedra. Beiträge zur Algebra und Geometrie, 35(2):259-281, 1994.
    • (1994) Beiträge zur Algebra und Geometrie , vol.35 , Issue.2 , pp. 259-281
    • Crapo, H.1    Whiteley, W.2
  • 25
    • 0004223416 scopus 로고    scopus 로고
    • [Cro] Cambridge University Press, Cambridge
    • [Cro] Peter R. Cromwell. Polyhedra, Cambridge University Press, Cambridge, 1997.
    • (1997) Polyhedra
    • Cromwell, P.R.1
  • 26
    • 0001751998 scopus 로고
    • Helly's theorem and its relatives
    • [DGK] In Victor Klee, editor, Convexity. American Mathematical Society, Providence, RI
    • [DGK] Ludwig Danzer, Branko Grünbaum, and Victor Klee. Helly's theorem and its relatives. In Victor Klee, editor, Convexity, Proceedings of Symposia in Pure Mathematics, volume VII, pages 101-180. American Mathematical Society, Providence, RI, 1963.
    • (1963) Proceedings of Symposia in Pure Mathematics , vol.7 , pp. 101-180
    • Danzer, L.1    Grünbaum, B.2    Klee, V.3
  • 30
    • 34250383688 scopus 로고
    • Sensitivity analysis for nonlinear programming using penalty methods
    • [Fia]
    • [Fia] Anthony V. Fiacco. Sensitivity analysis for nonlinear programming using penalty methods. Mathematical Programming, 10:287-311, 1976.
    • (1976) Mathematical Programming , vol.10 , pp. 287-311
    • Fiacco, A.V.1
  • 32
    • 0000870032 scopus 로고
    • Mathematical games
    • [Gar1] The problem is posed in the February issue (number 202) on page 150. A dissection into seven parts appears in the March issue (number 3), pages 177-178
    • [Gar1] Martin Gardner. Mathematical games. Scientific American, 202, 1960. The problem is posed in the February issue (number 202) on page 150. A dissection into seven parts appears in the March issue (number 3), pages 177-178.
    • (1960) Scientific American , pp. 202
    • Gardner, M.1
  • 33
    • 0002156311 scopus 로고
    • [Gar2] Mathematical Association of America, Washington, DC
    • [Gar2] Martin Gardner. New Mathematical Diversions, pages 34 and 39-42. Mathematical Association of America, Washington, DC, 1995.
    • (1995) New Mathematical Diversions , pp. 34
    • Gardner, M.1
  • 34
    • 0001114105 scopus 로고
    • Almost all simply connected closed surfaces are rigid
    • [Glu] In Proceedings of the Geometric Topology Conference, Park City, Utah, February
    • [Glu] Herman Gluck. Almost all simply connected closed surfaces are rigid. In Proceedings of the Geometric Topology Conference, Park City, Utah, volume 438 of Lecture Notes in Mathematics, pages 225-239, February 1974.
    • (1974) Lecture Notes in Mathematics , vol.438 , pp. 225-239
    • Gluck, H.1
  • 37
    • 0012915578 scopus 로고
    • How to convexify a polygon
    • [Grü] July
    • [Grü] Branko Grünbaum. How to convexify a polygon. Geombinatorics, 5:24-30, July 1995.
    • (1995) Geombinatorics , vol.5 , pp. 24-30
    • Grünbaum, B.1
  • 38
    • 52449144821 scopus 로고
    • A paradigm for robust geometric algorithms
    • [HK]
    • [HK] John E. Hopcroft and Peter J. Kahn. A paradigm for robust geometric algorithms. Algorithmica, 7(4):339-380, 1992.
    • (1992) Algorithmica , vol.7 , Issue.4 , pp. 339-380
    • Hopcroft, J.E.1    Kahn, P.J.2
  • 39
    • 0039336010 scopus 로고
    • On the moduli space of polygons in the Euclidean plane
    • [KM1]
    • [KM1] Michael Kapovich and John Millson. On the moduli space of polygons in the Euclidean plane. Journal of Differential Geometry, 42(1):133-164, 1995.
    • (1995) Journal of Differential Geometry , vol.42 , Issue.1 , pp. 133-164
    • Kapovich, M.1    Millson, J.2
  • 40
    • 0039336010 scopus 로고
    • On the moduli space of polygons in the Euclidean plane
    • [KM2]
    • [KM2] Michael Kapovich and John Millson. On the moduli space of polygons in the Euclidean plane. Journal of Differential Geometry, 42(2):430-464, 1995.
    • (1995) Journal of Differential Geometry , vol.42 , Issue.2 , pp. 430-464
    • Kapovich, M.1    Millson, J.2
  • 41
    • 0030267988 scopus 로고    scopus 로고
    • The symplectic geometry of polygons in Euclidean space
    • [KM3]
    • [KM3] Michael Kapovich and John J. Millson. The symplectic geometry of polygons in Euclidean space. Journal of Differential Geometry, 44(3):479-513, 1996.
    • (1996) Journal of Differential Geometry , vol.44 , Issue.3 , pp. 479-513
    • Kapovich, M.1    Millson, J.J.2
  • 42
    • 33646602327 scopus 로고    scopus 로고
    • Moduli spaces of linkages and arrangements
    • [KM4] In Jean-Luc Brylinski, Ranee Brylinski, Victor Nistor, Boris Tsygan, Ping Xu, editors, Advances in Geometry. Birkhäuser, Boston
    • [KM4] Michael Kapovich and John J. Millson. Moduli spaces of linkages and arrangements. In Jean-Luc Brylinski, Ranee Brylinski, Victor Nistor, Boris Tsygan, Ping Xu, editors, Advances in Geometry, volume 172 of Progress in Mathematics, pages 237-270. Birkhäuser, Boston, 1999.
    • (1999) Progress in Mathematics , vol.172 , pp. 237-270
    • Kapovich, M.1    Millson, J.J.2
  • 43
    • 0002520280 scopus 로고    scopus 로고
    • Problems in low-dimensional topology
    • [Kir] In William H. Kazez, editor, Geometric Topology: Proceedings of the 1993 Georgia International Topology Conference, Athens, Georgia, volume 2.2. American Mathematical Society, Providence, RI, and International Press, Somerville, MA
    • [Kir] Rob Kirby. Problems in low-dimensional topology. In William H. Kazez, editor, Geometric Topology: Proceedings of the 1993 Georgia International Topology Conference, Athens, Georgia, volume 2.2 of AMS/IP Studies in Advanced Mathematics, pages 35-473. American Mathematical Society, Providence, RI, and International Press, Somerville, MA, 1997. http://www.math.berkeley.edu/̃kirby/problems.ps.gz.
    • (1997) AMS/IP Studies in Advanced Mathematics , pp. 35-473
    • Kirby, R.1
  • 45
    • 33646615750 scopus 로고
    • Reconfiguring simple polygons
    • [LW2] School of Computer Science, McGill University, March
    • [LW2] William J. Lenhart and Sue H. Whitesides. Reconfiguring simple polygons. Technical Report SOCS-93.3, School of Computer Science, McGill University, March 1993.
    • (1993) Technical Report , vol.SOCS-93.3
    • Lenhart, W.J.1    Whitesides, S.H.2
  • 46
    • 51249165461 scopus 로고
    • Reconfiguring closed polygonal chains in Euclidean d-space
    • [LW3]
    • [LW3] William J. Lenhart and Sue H. Whitesides. Reconfiguring closed polygonal chains in Euclidean d-space. Discrete & Computational Geometry, 13:123-140, 1995.
    • (1995) Discrete & Computational Geometry , vol.13 , pp. 123-140
    • Lenhart, W.J.1    Whitesides, S.H.2
  • 47
    • 0000294335 scopus 로고
    • Monte Carlo generation of self-avoiding walks with fixed endpoints and fixed length
    • [MOS]
    • [MOS] Neal Madras, Alon Orlitsky, and Lawrence A. Shepp. Monte Carlo generation of self-avoiding walks with fixed endpoints and fixed length. Journal of Statistical Physics, 58(1-2): 159-183, 1990.
    • (1990) Journal of Statistical Physics , vol.58 , Issue.1-2 , pp. 159-183
    • Madras, N.1    Orlitsky, A.2    Shepp, L.A.3
  • 48
    • 0038707602 scopus 로고
    • Solution to problem E 1406: Dissecting an obtuse triangle into acute triangles
    • [Man] November
    • [Man] Wallace Manheimer. Solution to problem E 1406: Dissecting an obtuse triangle into acute triangles. American Mathematical Monthly, 67:923, November 1960.
    • (1960) American Mathematical Monthly , vol.67 , pp. 923
    • Manheimer, W.1
  • 51
    • 0012962476 scopus 로고
    • Solution to problem 3763
    • [Nag] March
    • [Nag] Béla de Sz. Nagy. Solution to problem 3763. American Mathematical Monthly, 46:176-177, March 1939.
    • (1939) American Mathematical Monthly , vol.46 , pp. 176-177
    • De Sz. Nagy, B.1
  • 52
    • 84947770218 scopus 로고    scopus 로고
    • Folding and unfolding in computational geometry
    • [O'R] Japan Conference on Discrete and Computational Geometry, Tokyo, December
    • [O'R] Joseph O'Rourke. Folding and unfolding in computational geometry. In Revised Papers from the Japan Conference on Discrete and Computational Geometry, Tokyo, volume 1763 of Lecture Notes in Computer Science, pages 258-266, December 1998.
    • (1998) Lecture Notes in Computer Science , vol.1763 , pp. 258-266
    • O'Rourke, J.1
  • 53
    • 0041323039 scopus 로고    scopus 로고
    • Expansive motions and the polytope of pointed pseudo-triangulations
    • [RSS] To appear in Boris Aronov, Saugata Basu, János Pach, and Micha Sharir, editors, Discrete and Computational Geometry, the Goodman-Pollack Festschrift. Springer-Verlag, Berlin
    • [RSS] Günter Rote, Francisco Santos, and Ileana Streinu. Expansive motions and the polytope of pointed pseudo-triangulations. To appear in Boris Aronov, Saugata Basu, János Pach, and Micha Sharir, editors, Discrete and Computational Geometry, the Goodman-Pollack Festschrift, Algorithms and Combinatorics, vol. 25, pp. 669-736. Springer-Verlag, Berlin, 2003.
    • (2003) Algorithms and Combinatorics , vol.25 , pp. 669-736
    • Rote, G.1    Santos, F.2    Streinu, I.3
  • 55
    • 0000500980 scopus 로고
    • Stretching chords of space curves
    • [Sal]
    • [Sal] G. Thomas Sallee. Stretching chords of space curves. Geometriae Dedicata, 2:311-315, 1973.
    • (1973) Geometriae Dedicata , vol.2 , pp. 311-315
    • Thomas Sallee, G.1
  • 56
    • 0037711820 scopus 로고
    • Cauchy's lemma concerning convex polygons
    • [SZ]
    • [SZ] Isaac Jacob Schoenberg and Stanislaw Krystyn Zaremba. Cauchy's lemma concerning convex polygons. Canadian Journal of Mathematics, 19(4): 1062-1071, 1967.
    • (1967) Canadian Journal of Mathematics , vol.19 , Issue.4 , pp. 1062-1071
    • Schoenberg, I.J.1    Zaremba, S.K.2
  • 58
    • 0001442577 scopus 로고
    • Efficient computer simulation of polymer conformation. I. Geometric properties of the hard-sphere model
    • [SG]
    • [SG] Steven D. Stellman and Paul J. Gans. Efficient computer simulation of polymer conformation. I. Geometric properties of the hard-sphere model. Macromolecules, 5:516-526, 1972.
    • (1972) Macromolecules , vol.5 , pp. 516-526
    • Stellman, S.D.1    Gans, P.J.2
  • 59
    • 0034504512 scopus 로고    scopus 로고
    • A combinatorial approach to planar non-colliding robot arm motion planning
    • [Str], Redondo Beach, California, November
    • [Str] Ileana Streinu, A combinatorial approach to planar non-colliding robot arm motion planning. In Proceedings of the 41st Annual Symposium on Foundations of Computer Science, Redondo Beach, California, pages 443-453, November 2000.
    • (2000) Proceedings of the 41st Annual Symposium on Foundations of Computer Science , pp. 443-453
    • Streinu, I.1
  • 61
    • 3342906257 scopus 로고    scopus 로고
    • [Wal]. Springer-Verlag, Berlin
    • [Wal] Wolfgang Walter. Gewöhnliche Differentialgleichungen, 6th edition. Springer-Verlag, Berlin, 1996. English translation: Ordinary Differential Equations, Springer-Verlag, New York, 1998.
    • (1996) Gewöhnliche Differentialgleichungen, 6th Edition
    • Walter, W.1
  • 62
    • 0003487031 scopus 로고    scopus 로고
    • English translation, Springer-Verlag, New York
    • [Wal] Wolfgang Walter. Gewöhnliche Differentialgleichungen, 6th edition. Springer-Verlag, Berlin, 1996. English translation: Ordinary Differential Equations, Springer-Verlag, New York, 1998.
    • (1998) Ordinary Differential Equations
  • 63
    • 0042324574 scopus 로고
    • Partial inflation of closed polygons in the plane
    • [Weg1]
    • [Weg1] Bernd Wegner. Partial inflation of closed polygons in the plane. Beiträge zur Algebra und Geometrie, 34(1):77-85, 1993.
    • (1993) Beiträge zur Algebra und Geometrie , vol.34 , Issue.1 , pp. 77-85
    • Wegner, B.1
  • 64
    • 33646608650 scopus 로고    scopus 로고
    • Chord-stretching convexifications of spherical polygons
    • [Weg2]. In Craveiro de Cavalho and Francisco José, editors, Proceedings of the Topology and Geometry Day, Coimbra, Texts in Mathematics, Séra B. Universidade de Coimbra, Coimbra, May
    • [Weg2] Bernd Wegner. Chord-stretching convexifications of spherical polygons. In Craveiro de Cavalho and Francisco José, editors, Proceedings of the Topology and Geometry Day, Coimbra, volume 10 of Textes de Matemática (Texts in Mathematics), Séra B, pages 42-49. Universidade de Coimbra, Coimbra, May 1996.
    • (1996) Textes de Matemática , vol.10 , pp. 42-49
    • Wegner, B.1
  • 65
    • 0003128910 scopus 로고
    • Motions and stresses of projected polyhedra
    • [Whi1] (with a French translation)
    • [Whi1] Walter Whiteley. Motions and stresses of projected polyhedra (with a French translation). Structural Topology, 7:13-38, 1982.
    • (1982) Structural Topology , vol.7 , pp. 13-38
    • Whiteley, W.1
  • 66
    • 84968494918 scopus 로고
    • Infinitesimally rigid polyhedra. I. Statics of frameworks
    • [Whi2]
    • [Whi2] Walter Whiteley. Infinitesimally rigid polyhedra. I. Statics of frameworks. Transactions of the American Mathematical Society, 285(2):431-465, 1984.
    • (1984) Transactions of the American Mathematical Society , vol.285 , Issue.2 , pp. 431-465
    • Whiteley, W.1
  • 67
    • 0040271183 scopus 로고
    • The projective geometry of rigid frameworks
    • [Whi3] Finite Geometries, Winnipeg, Manitoba
    • [Whi3] Walter Whiteley. The projective geometry of rigid frameworks. In Finite Geometries, Winnipeg, Manitoba, volume 103 of Lecture Notes in Pure and Applied Mathematics, pages 353-370, 1984.
    • (1984) Lecture Notes in Pure and Applied Mathematics , vol.103 , pp. 353-370
    • Whiteley, W.1
  • 68
    • 0002273874 scopus 로고
    • Rigidity and polarity. I. Statics of sheet structures
    • [Whi4]
    • [Whi4] Walter Whiteley. Rigidity and polarity. I. Statics of sheet structures. Geometriae Dedicata, 22(3):329-362, 1987.
    • (1987) Geometriae Dedicata , vol.22 , Issue.3 , pp. 329-362
    • Whiteley, W.1
  • 69
    • 84966235375 scopus 로고
    • Infinitesimally rigid polyhedra. II. Modified spherical frameworks
    • [Whi5]
    • [Whi5] Walter Whiteley. Infinitesimally rigid polyhedra. II. Modified spherical frameworks. Transactions of the American Mathematical Society, 306(1): 115-139, 1988.
    • (1988) Transactions of the American Mathematical Society , vol.306 , Issue.1 , pp. 115-139
    • Whiteley, W.1
  • 70
    • 0038024955 scopus 로고
    • Matroids and rigid structures
    • [Whi6]. In Neil White, editor, Matroid Applications. Cambridge University Press, Cambridge
    • [Whi6] Walter Whiteley. Matroids and rigid structures. In Neil White, editor, Matroid Applications, volume 40 of Encyclopedia of Mathematics and its Applications, pages 1-52. Cambridge University Press, Cambridge, 1992.
    • (1992) Encyclopedia of Mathematics and Its Applications , vol.40 , pp. 1-52
    • Whiteley, W.1
  • 71
    • 0039855529 scopus 로고
    • Algorithmic issues in the geometry of planar linkage movement
    • [Whi7], May
    • [Whi7] Sue Whitesides. Algorithmic issues in the geometry of planar linkage movement. Australian Computer Journal, 24(2):42-50, May 1992.
    • (1992) Australian Computer Journal , vol.24 , Issue.2 , pp. 42-50
    • Whitesides, S.1
  • 72
    • 0041323033 scopus 로고
    • Self-avoiding walks with geometrical constraints
    • [Whi8]
    • [Whi8] Stuart G. Whittington. Self-avoiding walks with geometrical constraints. Journal of Statistical Physics, 30(2) :449-456, 1983.
    • (1983) Journal of Statistical Physics , vol.30 , Issue.2 , pp. 449-456
    • Whittington, S.G.1


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