메뉴 건너뛰기




Volumn 27, Issue 1, 2007, Pages 1-26

Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme

Author keywords

Ambient isotopy; Curve topology; Domain decomposition; Surface intersections; Surface perturbations; Tensor product surfaces; Topological consistency; Trimmed surfaces

Indexed keywords


EID: 34249907012     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10444-005-7539-5     Document Type: Article
Times cited : (24)

References (24)
  • 1
    • 84971748944 scopus 로고
    • Algebraic decomposition of regular curves
    • S. Arnborg and H. Feng, Algebraic decomposition of regular curves, J. Symbolic Comput. 5 (1988) 131-140.
    • (1988) J. Symbolic Comput , vol.5 , pp. 131-140
    • Arnborg, S.1    Feng, H.2
  • 2
    • 0020776928 scopus 로고
    • Topologically reliable display of algebraic curves
    • D.S. Arnon, Topologically reliable display of algebraic curves, ACM Computer Graphics 17 (1983) 219-227.
    • (1983) ACM Computer Graphics , vol.17 , pp. 219-227
    • Arnon, D.S.1
  • 3
    • 0021521367 scopus 로고
    • Cylindrical algebraic decomposition I: The basic algorithm
    • D.S. Arnon, G.E. Collins and S. McCallum, Cylindrical algebraic decomposition I: The basic algorithm, SIAM J. Comput. 13 (1984) 865-877.
    • (1984) SIAM J. Comput , vol.13 , pp. 865-877
    • Arnon, D.S.1    Collins, G.E.2    McCallum, S.3
  • 4
    • 0021522643 scopus 로고
    • Cylindrical algebraic decomposition II: An adjacency algorithm for the plane
    • D.S. Arnon, G.E. Collins and S. McCallum, Cylindrical algebraic decomposition II: An adjacency algorithm for the plane, SIAM J. Comput. 13 (1984) 878-889.
    • (1984) SIAM J. Comput , vol.13 , pp. 878-889
    • Arnon, D.S.1    Collins, G.E.2    McCallum, S.3
  • 5
    • 84971721358 scopus 로고
    • A polynomial-time algorithm for the topological type of a real algebraic curve
    • D.S. Arnon and S. McCallum, A polynomial-time algorithm for the topological type of a real algebraic curve, J. Symbolic Comput. 5 (1988) 213-236.
    • (1988) J. Symbolic Comput , vol.5 , pp. 213-236
    • Arnon, D.S.1    McCallum, S.2
  • 7
    • 0005479696 scopus 로고    scopus 로고
    • P. Cellini, P. Gianni and C. Traverso, Algorithms for the shape of semialgebraic sets: A new approach, in: Lecture Notes in Computer Science, 539 (Springer, New York, 1991) pp. 1-18.
    • P. Cellini, P. Gianni and C. Traverso, Algorithms for the shape of semialgebraic sets: A new approach, in: Lecture Notes in Computer Science, Vol. 539 (Springer, New York, 1991) pp. 1-18.
  • 10
    • 34249884030 scopus 로고    scopus 로고
    • R.T. Farouki, Closing the gap between CAD model and downstream application (Report on the SIAM Workshop on Integration of CAD and CFD, UC Davis, April 12-13, 1999), SIAM News 32 (1999) 1-3.
    • R.T. Farouki, Closing the gap between CAD model and downstream application (Report on the SIAM Workshop on Integration of CAD and CFD, UC Davis, April 12-13, 1999), SIAM News 32 (1999) 1-3.
  • 11
    • 0030516403 scopus 로고    scopus 로고
    • On the optimal stability of the Bernstein basis
    • R.T. Farouki and T.N.T. Goodman, On the optimal stability of the Bernstein basis, Math. Comput. 65 (1996) 1553-1566.
    • (1996) Math. Comput , vol.65 , pp. 1553-1566
    • Farouki, R.T.1    Goodman, T.N.T.2
  • 12
    • 2342588702 scopus 로고    scopus 로고
    • Topologically consistent trimmed surface approximations based on triangular patches
    • R.T. Farouki, C.Y Han, J. Hass and T.W. Sederberg, Topologically consistent trimmed surface approximations based on triangular patches, Comput. Aided Geom. Design 21 (2004) 459-478.
    • (2004) Comput. Aided Geom. Design , vol.21 , pp. 459-478
    • Farouki, R.T.1    Han, C.Y.2    Hass, J.3    Sederberg, T.W.4
  • 13
    • 0023455805 scopus 로고
    • On the numerical condition of polynomials in Bernstein form
    • R.T. Farouki and V.T. Rajan, On the numerical condition of polynomials in Bernstein form, Comput. Aided Geom. Design 4 (1987) 191-216.
    • (1987) Comput. Aided Geom. Design , vol.4 , pp. 191-216
    • Farouki, R.T.1    Rajan, V.T.2
  • 15
    • 0036895253 scopus 로고    scopus 로고
    • Efficient topology determination of implicitly defined algebraic plane curves
    • L. Gonzalez-Vega and I. Necula, Efficient topology determination of implicitly defined algebraic plane curves, Comput. Aided Geom. Design 19 (2002) 719-743.
    • (2002) Comput. Aided Geom. Design , vol.19 , pp. 719-743
    • Gonzalez-Vega, L.1    Necula, I.2
  • 16
    • 0031079061 scopus 로고    scopus 로고
    • A new approach to the surface intersection problem
    • T.A. Grandine and F.W. Klein, A new approach to the surface intersection problem, Comput. Aided Geom. Design 14 (1997) 111-134.
    • (1997) Comput. Aided Geom. Design , vol.14 , pp. 111-134
    • Grandine, T.A.1    Klein, F.W.2
  • 17
    • 0030288245 scopus 로고    scopus 로고
    • An efficient method for analyzing the topology of plane real algebraic curves
    • H. Hong, An efficient method for analyzing the topology of plane real algebraic curves, Math. Comput. Simulation 42 (1996) 571-582.
    • (1996) Math. Comput. Simulation , vol.42 , pp. 571-582
    • Hong, H.1
  • 18
    • 0019668976 scopus 로고
    • Bounds on a polynomial
    • J.M. Lane and R.F. Riesenfeld, Bounds on a polynomial, BIT 21 (1981) 112-117.
    • (1981) BIT , vol.21 , pp. 112-117
    • Lane, J.M.1    Riesenfeld, R.F.2
  • 20
    • 34249868012 scopus 로고    scopus 로고
    • M.-F. Roy and A. Szpirglas, Complexity of the computation of cylindrical decomposition and topology of real algebraic curves using Thom's lemma, in: Lecture Notes in Mathematics, 1420 (Springer, New York, 1990) pp. 223-236.
    • M.-F. Roy and A. Szpirglas, Complexity of the computation of cylindrical decomposition and topology of real algebraic curves using Thom's lemma, in: Lecture Notes in Mathematics, Vol. 1420 (Springer, New York, 1990) pp. 223-236.
  • 21
    • 0002340324 scopus 로고
    • The topological configuration of a real algebraic curve
    • T. Sakkalis, The topological configuration of a real algebraic curve, Bull. Austral. Math. Soc. 43 (1991) 37-50.
    • (1991) Bull. Austral. Math. Soc , vol.43 , pp. 37-50
    • Sakkalis, T.1
  • 23
    • 0027684098 scopus 로고
    • Computation of the solutions of nonlinear polynomial systems
    • E.C. Sherbrooke and N.M. Patrikalakis, Computation of the solutions of nonlinear polynomial systems, Comput. Aided Geom. Design 10 (1993) 379-405.
    • (1993) Comput. Aided Geom. Design , vol.10 , pp. 379-405
    • Sherbrooke, E.C.1    Patrikalakis, N.M.2
  • 24
    • 1542335371 scopus 로고    scopus 로고
    • Linear perturbation methods for topologically consistent representations of free-form surface intersections
    • X.W. Song, T.W. Sederberg, J. Zheng, R.T. Farouki and J. Hass, Linear perturbation methods for topologically consistent representations of free-form surface intersections, Comput. Aided Geom. Design 21 (2004) 303-319.
    • (2004) Comput. Aided Geom. Design , vol.21 , pp. 303-319
    • Song, X.W.1    Sederberg, T.W.2    Zheng, J.3    Farouki, R.T.4    Hass, J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.