메뉴 건너뛰기




Volumn , Issue , 2003, Pages 76-85

Automating the CAD/CAE dimensional reduction process

Author keywords

CAD; CAE; Dimensional reduction; Engineering analysis; Medial axis transforms; Mid plane; Skeletal representations

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER AIDED DESIGN; LAPLACE TRANSFORMS;

EID: 0038717874     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/781606.781621     Document Type: Conference Paper
Times cited : (30)

References (53)
  • 1
    • 0028463741 scopus 로고
    • Modeling requirements for finite-element analysis
    • July
    • Armstrong, C. G., "Modeling Requirements for Finite-Element Analysis", Computer Aided Design, vol. 26, no. 7, July 1994.
    • (1994) Computer Aided Design , vol.26 , Issue.7
    • Armstrong, C.G.1
  • 2
    • 0004005780 scopus 로고
    • Finite element solution of boundary value problems, theory and computation
    • Academic Press, Inc.
    • Axelsson, O., and Barker, V. A., Finite Element Solution of Boundary Value Problems, Theory and Computation, Computer Science and Applied Mathematics, Academic Press, Inc., 1984.
    • (1984) Computer Science and Applied Mathematics
    • Axelsson, O.1    Barker, V.A.2
  • 3
    • 0025791621 scopus 로고
    • Hierarchic modeling of plates
    • Babuska, I., Li, L., "Hierarchic Modeling of Plates", Computers and Structures, Vol. 40, No. 2, pp. 419-430, 1991.
    • (1991) Computers and Structures , vol.40 , Issue.2 , pp. 419-430
    • Babuska, I.1    Li, L.2
  • 4
    • 0028410174 scopus 로고
    • On the a posteriori estimation of the modeling error for the heat conduction in a plate and its use for adaptive hierarchical modeling
    • Babuska, I., Lee, I., Schwab, C., On the a posteriori estimation of the modeling error for the heat conduction in a plate and its use for adaptive hierarchical modeling, Applied Numerical Mathematics, 14, pp. 5-21, 1994.
    • (1994) Applied Numerical Mathematics , vol.14 , pp. 5-21
    • Babuska, I.1    Lee, I.2    Schwab, C.3
  • 6
    • 0001803094 scopus 로고
    • A transformation for extracting new descriptors of shape
    • Ed. Walthen Dunn, MIT Press
    • Blum, H., "A Transformation for Extracting New Descriptors of Shape", Models for the Perception of Speech and Visual Form, Ed. Walthen Dunn, MIT Press, pp. 362-380, 1967.
    • (1967) Models for the Perception of Speech and Visual Form , pp. 362-380
    • Blum, H.1
  • 7
    • 0015581337 scopus 로고
    • Biological shape and visual science (part i)
    • Blum, H., "Biological Shape and Visual Science (Part I)", Journal of Theoretical Biology, 38, pp. 205-287, 1973.
    • (1973) Journal of Theoretical Biology , vol.38 , pp. 205-287
    • Blum, H.1
  • 8
    • 0018178205 scopus 로고
    • Shape description using weighted symmetric axis features
    • Blum, H., and Nagel, R. N., "Shape Description using Weighted Symmetric Axis Features", Pattern Recognition, vol. 10, pp. 167-180, 1978.
    • (1978) Pattern Recognition , vol.10 , pp. 167-180
    • Blum, H.1    Nagel, R.N.2
  • 10
    • 0003668853 scopus 로고
    • Differential equations and their applications
    • Springer-Verlag, New York, NY
    • Braun, M., Differential Equations and Their Applications, Applied Mathematical Sciences, vol. 15, Springer-Verlag, New York, NY, 1983.
    • (1983) Applied Mathematical Sciences , vol.15
    • Braun, M.1
  • 12
    • 0000700905 scopus 로고
    • Shape recognition, prairie fires, convex deficiencies and skeletons
    • April
    • Calabi, L, and Hartnett, W. E., "Shape Recognition, Prairie Fires, Convex Deficiencies and Skeletons", American Mathematical Monthly, pp. 335-342, April 1968.
    • (1968) American Mathematical Monthly , pp. 335-342
    • Calabi, L.1    Hartnett, W.E.2
  • 13
    • 0002754556 scopus 로고    scopus 로고
    • Mathematical theory of medial axis transform
    • Choi, H. I., Choi, S. W., Moon, H. P., Mathematical Theory of Medial Axis Transform, Pacific Journal of Mathematics, Vol. 181, No. 1, pp. 57-88, 1997.
    • (1997) Pacific Journal of Mathematics , vol.181 , Issue.1 , pp. 57-88
    • Choi, H.I.1    Choi, S.W.2    Moon, H.P.3
  • 14
    • 0036037962 scopus 로고    scopus 로고
    • Linear one-sided stability of MAT for weakly injective 3D domain
    • Saarbrucken, Germany
    • Choi, S. W., Seidel, H. P, "Linear One-sided Stability of MAT for Weakly Injective 3D Domain", Proceedings of the Seventh Solid Modeling Conference, pp. 344- 355, Saarbrucken, Germany, 2002.
    • (2002) Proceedings of the Seventh Solid Modeling Conference , pp. 344-355
    • Choi, S.W.1    Seidel, H.P.2
  • 20
    • 0032645551 scopus 로고    scopus 로고
    • Computing the voronoi diagram of a 3-D polyhedron by separate computation of its symbolic and geometric parts
    • Ann Arbor, MI
    • Etizon, M., Rappoport, A., "Computing the Voronoi Diagram of a 3-D Polyhedron by Separate Computation of its Symbolic and Geometric Parts", Proceedings, Fifth Symposium on Solid Modeling, Ann Arbor, MI, pp. 167-178, 1999.
    • (1999) Proceedings, Fifth Symposium on Solid Modeling , pp. 167-178
    • Etizon, M.1    Rappoport, A.2
  • 21
    • 0038456654 scopus 로고
    • Equivalent systems for the analysis of rectangular plates of varying thickness
    • 627-637
    • Fertis, D. G., Lee, C. T., Equivalent Systems for the Analysis of Rectangular Plates of Varying Thickness, Developments in Theoretical and Applied Mechanics, Volume XV, pp. 627-637, 1990.
    • (1990) Developments in Theoretical and Applied Mechanics , vol.15
    • Fertis, D.G.1    Lee, C.T.2
  • 24
    • 0009811215 scopus 로고
    • How to construct the skeleton of CSG objects
    • Oxford University Press, edited by Bowyer, A.
    • Hoffman, C. M., "How to construct the skeleton of CSG Objects", Computer-Aided Surface Geometry and Design, Oxford University Press, edited by Bowyer, A., pp. 421- 437, 1994.
    • (1994) Computer-Aided Surface Geometry and Design , pp. 421-437
    • Hoffman, C.M.1
  • 27
    • 0021156618 scopus 로고
    • A new model for thin plates with rapidly varying thickness
    • Kohn, R. V., Vogelius, M., "A New Model for Thin Plates with Rapidly Varying Thickness", International Journal of Solids and Structures, vol. 20, no. 4, pp. 333-350, 1984.
    • (1984) International Journal of Solids and Structures , vol.20 , Issue.4 , pp. 333-350
    • Kohn, R.V.1    Vogelius, M.2
  • 32
    • 0023346064 scopus 로고
    • Voronoi diagram for multiply-connected polygonal domains II: Implementation and application
    • May
    • Meshkat, S. N., and Sakkas, C. M., "Voronoi diagram for multiply-connected polygonal domains II: Implementation and application", IBM Journal of Research and Development, vol. 31, no. 3, pp. 373-381, May 1987.
    • (1987) IBM Journal of Research and Development , vol.31 , Issue.3 , pp. 373-381
    • Meshkat, S.N.1    Sakkas, C.M.2
  • 33
    • 0020336102 scopus 로고
    • Curvature relations in three-dimensional symmetric axes
    • Nackman, L. R., "Curvature Relations in Three-Dimensional Symmetric Axes", Computer Graphics and Image Processing, 20, pp. 43-57, 1982.
    • (1982) Computer Graphics and Image Processing , vol.20 , pp. 43-57
    • Nackman, L.R.1
  • 37
    • 0029195503 scopus 로고
    • Computations of 3D skeletons using a generalized delanuay triangulation technique
    • September
    • Reddy, J. M., Turkiyyah, G. M., "Computations of 3D skeletons using a generalized Delanuay triangulation technique", Computer Aided Design, vol. 27, no. 9, pp. 677-694, September 1995.
    • (1995) Computer Aided Design , vol.27 , Issue.9 , pp. 677-694
    • Reddy, J.M.1    Turkiyyah, G.M.2
  • 38
    • 0022162744 scopus 로고
    • Reflections on the theory of elastic plates
    • Reissner, E., "Reflections on the Theory of Elastic Plates", Journal of Applied Mechanics, vol. 38, no. 11, pp. 1453-1464, 1985.
    • (1985) Journal of Applied Mechanics , vol.38 , Issue.11 , pp. 1453-1464
    • Reissner, E.1
  • 39
    • 0030214679 scopus 로고    scopus 로고
    • Deflections of timoshenko beam with varying cross-section
    • Romano, F., Deflections of Timoshenko Beam with Varying Cross-Section, Int. J. Mech. Sci., Vol. 38, Nos. 8-9, pp. 1017-1035, 1996.
    • (1996) Int. J. Mech. Sci. , vol.38 , Issue.8-9 , pp. 1017-1035
    • Romano, F.1
  • 40
    • 84912849199 scopus 로고
    • Domain delanuay tetrahedrization of arbitrarily shaped curved polyhedra defined in a solid modeling system
    • Ed. J. Rossignac and J. Turner, Austin, TX, June
    • Sapidis, N. S., and Perucchio, R., "Domain Delanuay Tetrahedrization of Arbitrarily Shaped Curved Polyhedra Defined in a Solid Modeling System", Proc. Symposium on Solid Modeling Foundations and CAD/CAM Applications, Ed. J. Rossignac and J. Turner, pp. 465-480, Austin, TX, June 1991.
    • (1991) Proc. Symposium on Solid Modeling Foundations and CAD/CAM Applications , pp. 465-480
    • Sapidis, N.S.1    Perucchio, R.2
  • 43
    • 0023349608 scopus 로고
    • Voronoi diagram for multiply-connected polygonal domains I: Algorithm
    • May
    • Srinivasan, V., and Nackman, L. R., "Voronoi diagram for Multiply-Connected Polygonal Domains I: Algorithm", IBM Journal of Research and Development, vol. 31, no. 3, pp. 361-372, May 1987.
    • (1987) IBM Journal of Research and Development , vol.31 , Issue.3 , pp. 361-372
    • Srinivasan, V.1    Nackman, L.R.2
  • 44
    • 0027879523 scopus 로고
    • Continuous skeletons of discrete objects
    • Rossignac, J. R., Turner, J., and Allen, G., ed., ACM Press, 1515 Broadway, New York, NY, Montreal, Canada, May
    • Sudhalkar, A., et al., "Continuous Skeletons of Discrete Objects", Proc. ACM SIGGRAPH Symposium on Solid Modeling, Rossignac, J. R., Turner, J., and Allen, G., ed., ACM Press, 1515 Broadway, New York, NY, pp. 85-94, Montreal, Canada, May 1993.
    • (1993) Proc. ACM SIGGRAPH Symposium on Solid Modeling , pp. 85-94
    • Sudhalkar, A.1
  • 47
    • 0030833528 scopus 로고    scopus 로고
    • An accelerated triangulation method for computing the skeletons of free-form solid models
    • Turkiyyah G. M., et. al., "An accelerated triangulation method for computing the skeletons of free-form solid models", Computer Aided Design, 29 (1), pp. 5-19, 1997.
    • (1997) Computer Aided Design , vol.29 , Issue.1 , pp. 5-19
    • Turkiyyah, G.M.1
  • 51
    • 84966248325 scopus 로고
    • On a dimensional reduction method I. The optimal selection of basis functions
    • Vogelius, M., Babuska, I., "On a Dimensional reduction Method I. The Optimal Selection of Basis Functions", Mathematics of Computation, Volume 37, Issue 155, pp. 31-46, 1981.
    • (1981) Mathematics of Computation , vol.37 , Issue.155 , pp. 31-46
    • Vogelius, M.1    Babuska, I.2
  • 53
    • 84921202745 scopus 로고
    • Constructing 3-D discrete medial axis
    • Rossignac, J. R., and Turner, J., ed., ACM Press, 1515 Broadway, New York, NY, Austin, TX, June
    • Yu, X., et al., "Constructing 3-D Discrete Medial Axis", Proc. ACM SIGGRAPH Symposium on Solid Modeling Foundations and CAD/CAM Applications, Rossignac, J. R., and Turner, J., ed., ACM Press, 1515 Broadway, New York, NY, pp. 481-489, Austin, TX, June 1991.
    • (1991) Proc. ACM SIGGRAPH Symposium on Solid Modeling Foundations and CAD/CAM Applications , pp. 481-489
    • Yu, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.