메뉴 건너뛰기




Volumn 31, Issue 4, 2001, Pages 367-408

Decomposition Plans for Geometric Constraint Systems, Part I: Performance Measures for CAD

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0005660653     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.2000.0402     Document Type: Article
Times cited : (104)

References (66)
  • 2
    • 84968516134 scopus 로고
    • On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines
    • Blum L., Shub M., Smale S. On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines. Bull. Am. Math. Soc. 21:1989;1-46.
    • (1989) Bull. Am. Math. Soc. , vol.21 , pp. 1-46
    • Blum, L.1    Shub, M.2    Smale, S.3
  • 4
    • 85023534862 scopus 로고
    • Multiview feature modeling for design and assembly
    • J. Shah, M. Mantyla, & D. S. Nau. Amsterdam, Elsevier Science
    • Bronsvoort W. F., Jansen F. W. Multiview feature modeling for design and assembly. Shah J., Mantyla M., Nau D. S. Advances in Feature Based Modeling. 1994;315-330 Amsterdam, Elsevier Science.
    • (1994) Advances in Feature Based Modeling , pp. 315-330
    • Bronsvoort, W.F.1    Jansen, F.W.2
  • 5
    • 0001423662 scopus 로고
    • Improved algorithms for sign determination and existential quantifier elimination
    • Canny J. Improved algorithms for sign determination and existential quantifier elimination. Comput. J. 36:1993;409-418.
    • (1993) Comput. J. , vol.36 , pp. 409-418
    • Canny, J.1
  • 7
    • 0041304867 scopus 로고    scopus 로고
    • Wichita State University, Department of Computer Science
    • S. C. Chou, X. S. Gao, J. Z. Zhang, Wichita State University, Department of Computer Science, 1996.
    • (1996)
    • Chou, S.C.1    Gao, X.S.2    Zhang, J.Z.3
  • 8
    • 0042807515 scopus 로고
    • Berlin, Springer-Verlag, 183
    • G. Collins, 1975, Berlin, Springer-Verlag, 134, 183.
    • (1975) , pp. 134
    • Collins, G.1
  • 11
    • 0042306412 scopus 로고    scopus 로고
    • C. Durand, 1998
    • C. Durand, 1998.
  • 12
    • 0042807510 scopus 로고    scopus 로고
    • S. Fang, 1992
    • S. Fang, 1992.
  • 13
    • 0042807511 scopus 로고    scopus 로고
    • I. Fudos, 1995
    • I. Fudos, 1995.
  • 14
    • 0001499896 scopus 로고    scopus 로고
    • Constraint-based parametric conics for CAD
    • Fudos I., Hoffmann C. M. Constraint-based parametric conics for CAD. Comput. Aided Des. 28:1996a;91-100.
    • (1996) Comput. Aided Des. , vol.28 , pp. 91-100
    • Fudos, I.1    Hoffmann, C.M.2
  • 15
    • 0030353754 scopus 로고    scopus 로고
    • Correctness proof of a geometric constraint solver
    • Fudos I., Hoffmann C. M. Correctness proof of a geometric constraint solver. Int. J. Comput. Geom. Appl. 6:1996b;405-420.
    • (1996) Int. J. Comput. Geom. Appl. , vol.6 , pp. 405-420
    • Fudos, I.1    Hoffmann, C.M.2
  • 16
    • 0031125088 scopus 로고    scopus 로고
    • A Graph-Constructive Approach to Solving Systems of Geometric Constraints
    • Fudos I., Hoffmann C. M. A Graph-Constructive Approach to Solving Systems of Geometric Constraints. ACM Trans. Graph. 16:1997;179-216.
    • (1997) ACM Trans. Graph. , vol.16 , pp. 179-216
    • Fudos, I.1    Hoffmann, C.M.2
  • 18
    • 0031703314 scopus 로고    scopus 로고
    • Solving geometric constraint systems. I. A global propagation approach
    • Gao X. S., Chou S. C. Solving geometric constraint systems. I. A global propagation approach. Comput. Aided Des. 30:1998a;47-54.
    • (1998) Comput. Aided Des. , vol.30 , pp. 47-54
    • Gao, X.S.1    Chou, S.C.2
  • 19
    • 0032001291 scopus 로고    scopus 로고
    • Solving geometric constraint systems. II. A symbolic approach and decision of RC-constructibility
    • Gao X. S., Chou S. C. Solving geometric constraint systems. II. A symbolic approach and decision of RC-constructibility. Comput. Aided Des. 30:1998b;115-122.
    • (1998) Comput. Aided Des. , vol.30 , pp. 115-122
    • Gao, X.S.1    Chou, S.C.2
  • 21
    • 85025493187 scopus 로고
    • Solving systems of polynomial inequalities in subexponential time
    • Grigor'ev D. Y., Vorobjov N. N. Solving systems of polynomial inequalities in subexponential time. J. Symb. Comput. 5:1988;37-64.
    • (1988) J. Symb. Comput. , vol.5 , pp. 37-64
    • Grigor'Ev, D.Y.1    Vorobjov, N.N.2
  • 23
    • 0011306552 scopus 로고
    • Some examples of the use of distances as coordinates for Euclidean geometry
    • Havel T. Some examples of the use of distances as coordinates for Euclidean geometry. J. Symb. Comput. 11:1991;579-594.
    • (1991) J. Symb. Comput. , vol.11 , pp. 579-594
    • Havel, T.1
  • 24
    • 0026821495 scopus 로고
    • Conditions for unique graph realizations
    • Hendrickson B. Conditions for unique graph realizations. SIAM J. Comput. 21:1992;65-84.
    • (1992) SIAM J. Comput. , vol.21 , pp. 65-84
    • Hendrickson, B.1
  • 29
    • 0005784986 scopus 로고
    • Geometric constraints for CAGD
    • M. Daehlen, T. Lyche, & L. Schumaker. Vanderbilt University Press
    • Hoffmann C. M., Peters J. Geometric constraints for CAGD. Daehlen M., Lyche T., Schumaker L. Mathematical Methods for Curves and Surfaces. 1995;237-254 Vanderbilt University Press.
    • (1995) Mathematical Methods for Curves and Surfaces , pp. 237-254
    • Hoffmann, C.M.1    Peters, J.2
  • 33
    • 0001243769 scopus 로고
    • Dividing a graph into triconnected components
    • Hopcroft J. E., Tarjan R. E. Dividing a graph into triconnected components. SIAM J. Comput. 2:1973;135-158.
    • (1973) SIAM J. Comput. , vol.2 , pp. 135-158
    • Hopcroft, J.E.1    Tarjan, R.E.2
  • 34
    • 0042807509 scopus 로고    scopus 로고
    • C. Hsu, 1996
    • C. Hsu, 1996.
  • 35
    • 0021865773 scopus 로고
    • On combinatorial structures of line drawings of polyhedra
    • Imai H. On combinatorial structures of line drawings of polyhedra. Discrete Appl. Math. 10:1985;79-92.
    • (1985) Discrete Appl. Math. , vol.10 , pp. 79-92
    • Imai, H.1
  • 36
    • 0037893033 scopus 로고
    • Finding a minimum circuit in a graph
    • Itai A., Rodeh M. Finding a minimum circuit in a graph. SIAM J. Comput. 4:1978;413-423.
    • (1978) SIAM J. Comput. , vol.4 , pp. 413-423
    • Itai, A.1    Rodeh, M.2
  • 38
    • 0041805526 scopus 로고    scopus 로고
    • Geometry and feature representation for an integration with knowledge based systems
    • Florida, U.S.A., Chapman-Hall
    • Klein R. Geometry and feature representation for an integration with knowledge based systems. Geometric Modeling and CAD. 1996;Florida, U.S.A., Chapman-Hall.
    • (1996) Geometric Modeling and CAD
    • Klein, R.1
  • 39
    • 0042807508 scopus 로고    scopus 로고
    • The role of constraints in geometric modeling
    • Bruderlin, & Roller. Berlin, Springer-Verlag
    • Klein R. The role of constraints in geometric modeling. Bruderlin, Roller. Geometric Constraint Solving and Applications. 1998;Berlin, Springer-Verlag.
    • (1998) Geometric Constraint Solving and Applications
    • Klein, R.1
  • 42
    • 0014856102 scopus 로고
    • On graphs and rigidity of plane skeletal structures
    • Laman G. On graphs and rigidity of plane skeletal structures. J. Eng. Math. 4:1970;331-340.
    • (1970) J. Eng. Math. , vol.4 , pp. 331-340
    • Laman, G.1
  • 43
    • 0030296039 scopus 로고    scopus 로고
    • Connectivity analysis: A tool for processing geometric constraints
    • Latham R., Middleditch A. Connectivity analysis: a tool for processing geometric constraints. Comput. Aided Des. 28:1996;917-928.
    • (1996) Comput. Aided Des. , vol.28 , pp. 917-928
    • Latham, R.1    Middleditch, A.2
  • 44
    • 0002548511 scopus 로고
    • Résolution des systèmes d'équations algébriques
    • Lazard D. Résolution des systèmes d'équations algébriques. Theor. Comput. Sci. 15:1981;77-110.
    • (1981) Theor. Comput. Sci. , vol.15 , pp. 77-110
    • Lazard, D.1
  • 45
    • 0000069912 scopus 로고
    • A new method for solving algebraic systems of positive dimension
    • Lazard D. A new method for solving algebraic systems of positive dimension. Discrete Appl. Math. 33:1991;147-160.
    • (1991) Discrete Appl. Math. , vol.33 , pp. 147-160
    • Lazard, D.1
  • 49
    • 84959208829 scopus 로고
    • Algebraic solution for geometry from dimensional constraints
    • ACM. p. 397-407
    • Owen J. Algebraic solution for geometry from dimensional constraints. ACM Symposium Found. of Solid Modeling, Austin, TX. 1991;ACM. p. 397-407.
    • (1991) ACM Symposium Found. of Solid Modeling, Austin, TX
    • Owen, J.1
  • 50
    • 0030352613 scopus 로고    scopus 로고
    • Constraints on simple geometry in two and three dimensions
    • Owen J. Constraints on simple geometry in two and three dimensions. Int. J. Comput. Geom. Appl. 6:1996;421-434.
    • (1996) Int. J. Comput. Geom. Appl. , vol.6 , pp. 421-434
    • Owen, J.1
  • 51
    • 84974681057 scopus 로고
    • Modeling method for sorting dependencies among geometric entities
    • Pabon J. A. Modeling method for sorting dependencies among geometric entities. United States Patent 5,251,290. 1993.
    • (1993) United States Patent 5,251,290
    • Pabon, J.A.1
  • 52
    • 85025505234 scopus 로고
    • On the computational complexity and the first order theory of the reals, Part I
    • Renegar J. On the computational complexity and the first order theory of the reals, Part I. J. Symb. Comput. 13:1992;255-299.
    • (1992) J. Symb. Comput. , vol.13 , pp. 255-299
    • Renegar, J.1
  • 53
    • 0030126577 scopus 로고    scopus 로고
    • Algebraic geometry and group theory in geometric constraint satisfaction for computer-aided design and assembly planning
    • Ruiz O. E., Ferreira P. M. Algebraic geometry and group theory in geometric constraint satisfaction for computer-aided design and assembly planning. IIE Trans. Des. Manuf. 28:1996;281-294.
    • (1996) IIE Trans. Des. Manuf. , vol.28 , pp. 281-294
    • Ruiz, O.E.1    Ferreira, P.M.2
  • 54
    • 0041805522 scopus 로고    scopus 로고
    • Constraint configurations in CAD: Circles, lines and angles in the plane
    • Saliola F., Whiteley W. Constraint configurations in CAD: circles, lines and angles in the plane. Preprint, York University. 1999.
    • (1999) Preprint, York University
    • Saliola, F.1    Whiteley, W.2
  • 58
    • 0027640479 scopus 로고
    • Active occurence matrix based approach to design decomposition
    • Sridhar N., Aggarwal R., Kinzel G. L. Active occurence matrix based approach to design decomposition. Comput. Aided Des. 25:1993;500-512.
    • (1993) Comput. Aided Des. , vol.25 , pp. 500-512
    • Sridhar, N.1    Aggarwal, R.2    Kinzel, G.L.3
  • 59
    • 0030126379 scopus 로고    scopus 로고
    • Algorithms for the structural diagnosis and decomposition of sparse, underconstrained, systems
    • Sridhar N., Aggarwal R., Kinzel G. L. Algorithms for the structural diagnosis and decomposition of sparse, underconstrained, systems. Comput. Aided Des. 28:1996;237-249.
    • (1996) Comput. Aided Des. , vol.28 , pp. 237-249
    • Sridhar, N.1    Aggarwal, R.2    Kinzel, G.L.3
  • 61
    • 0022028437 scopus 로고
    • Detection of structural inconsistency in systems of equations with degrees of freedom and its applications
    • Sugihara K. Detection of structural inconsistency in systems of equations with degrees of freedom and its applications. Discrete Appl. Math. 10:1985;297-312.
    • (1985) Discrete Appl. Math. , vol.10 , pp. 297-312
    • Sugihara, K.1
  • 62
    • 0033164017 scopus 로고    scopus 로고
    • On the generic rigidity of bar frameworks
    • Tay T. On the generic rigidity of bar frameworks. Adv. Appl. Math. 23:1999;14-28.
    • (1999) Adv. Appl. Math. , vol.23 , pp. 14-28
    • Tay, T.1
  • 63
  • 64
    • 0003161187 scopus 로고
    • An elimination method for polynomial systems
    • Wang D. An elimination method for polynomial systems. J. Symb. Comput. 16:1993;83-114.
    • (1993) J. Symb. Comput. , vol.16 , pp. 83-114
    • Wang, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.