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Volumn , Issue , 2005, Pages 323-341

A fast octree-based algorithm for computing ropelength

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EID: 80052215281     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812703460_0017     Document Type: Chapter
Times cited : (5)

References (22)
  • 1
    • 0003856008 scopus 로고
    • W. H. Freeman and Co., San Francisco, Calif, The three-point curvature appears on
    • Leonard M. Blumenthal and Karl Menger. Studies in geometry. W. H. Freeman and Co., San Francisco, Calif., 1970. (The three-point curvature appears on page 320).
    • (1970) Studies in geometry , pp. 320
    • Blumenthal, L.M.1    Menger, K.2
  • 2
    • 11744273384 scopus 로고
    • The surface evolver
    • Kenneth A. Brakke. The surface evolver. Experiment. Math., 1 (2): 141-165, 1992.
    • (1992) Experiment. Math. , vol.1 , Issue.2 , pp. 141-165
    • Brakke, K.A.1
  • 3
    • 0013104699 scopus 로고
    • A simple energy function for knots
    • Gregory Buck and Jeremey Orloff. A simple energy function for knots. Topology Appl., 61(3):205-214, 1995.
    • (1995) Topology Appl. , vol.61 , Issue.3 , pp. 205-214
    • Buck, G.1    Orloff, J.2
  • 5
    • 0035981373 scopus 로고    scopus 로고
    • On the minimum ropelength of knots and links
    • Jason Cantarella, Robert B. Kusner, and John M. Sullivan. On the minimum ropelength of knots and links. Invent. Math., 150(2):257-286, 2002.
    • (2002) Invent. Math. , vol.150 , Issue.2 , pp. 257-286
    • Cantarella, J.1    Kusner, R.B.2    Sullivan, J.M.3
  • 7
    • 0020249952 scopus 로고
    • An effective way to represent Quadtrees
    • Irene Gargantini. An effective way to represent Quadtrees. Commun. ACM, 25(12):905-910, 1982.
    • (1982) Commun. ACM , vol.25 , Issue.12 , pp. 905-910
    • Gargantini, I.1
  • 10
    • 0033608997 scopus 로고    scopus 로고
    • Global curvature, thickness, and the ideal shapes of knots
    • electronic
    • Oscar Gonzalez and John H. Maddocks. Global curvature, thickness, and the ideal shapes of knots. Proc. Natl. Acad. Sci. USA, 96(9):4769-4773 (electronic), 1999.
    • (1999) Proc. Natl. Acad. Sci. USA , vol.96 , Issue.9 , pp. 4769-4773
    • Gonzalez, O.1    Maddocks, J.H.2
  • 11
    • 0019229538 scopus 로고
    • Oct-trees and their use in representing three-dimensional objects
    • Chris L. Jackins and Steven L. Tanimoto. Oct-trees and their use in representing three-dimensional objects. Comp. Graphics and Image Proc., 14:249-270, 1980.
    • (1980) Comp. Graphics and Image Proc. , vol.14 , pp. 249-270
    • Jackins, C.L.1    Tanimoto, S.L.2
  • 13
    • 85115940709 scopus 로고    scopus 로고
    • Draft copy supplied by authors. As of this draft, the result in question is an unstated corollary of Theorem 3.6
    • Kenneth C. Millett, Michael Piatek, and Eric Rawdon. Polygonal knot space near ropelength-minimized knots. Draft copy supplied by authors. As of this draft, the result in question is an unstated corollary of Theorem 3.6.
    • Polygonal knot space near ropelength-minimized knots
    • Millett, K.C.1    Piatek, M.2    Rawdon, E.3
  • 14
    • 84990701289 scopus 로고
    • Non-recursive functions, knots “with thick ropes”, and self-clenching “thick” hyperspheres
    • Alexander Nabutovsky. Non-recursive functions, knots “with thick ropes”, and self-clenching “thick” hyperspheres. Comm. Pure Appl. Math., 48(4):381-428, 1995.
    • (1995) Comm. Pure Appl. Math. , vol.48 , Issue.4 , pp. 381-428
    • Nabutovsky, A.1
  • 15
    • 0002828937 scopus 로고    scopus 로고
    • In search of ideal knots
    • Ser. Knots Everything, World Sci. Publishing, River Edge, NJ
    • Piotr Pierański. In search of ideal knots. In Ideal knots, volume 19 of Ser. Knots Everything, pages 20-41. World Sci. Publishing, River Edge, NJ, 1998.
    • (1998) Ideal knots , vol.19 , pp. 20-41
    • Pierański, P.1
  • 18
    • 84944104796 scopus 로고
    • Bit interieaving for Quad- or Octrees
    • Andrew S. Glassner, editor, Morgan Kauffman
    • Clifford A. Shaffer. Bit interieaving for Quad- or Octrees. In Andrew S. Glassner, editor, Graphics Gems, pages 443-447. Morgan Kauffman, 1990.
    • (1990) Graphics Gems , pp. 443-447
    • Shaffer, C.A.1
  • 20
    • 85097852796 scopus 로고    scopus 로고
    • A constructive approach to modelling the tight shapes of some linked structures
    • Eugene L. Starostin. A constructive approach to modelling the tight shapes of some linked structures. Proc. Appl. Math. Mech., 3:479-480, 2003.
    • (2003) Proc. Appl. Math. Mech. , vol.3 , pp. 479-480
    • Starostin, E.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.