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Volumn 3, Issue 4, 2003, Pages 285-294

Surface and Volume Discretization of Functionally Based Heterogeneous Objects

Author keywords

Attributes; Cellular Representation; Constructive Hypervolume; Finite Element Analysis; Function Representation; Heterogeneous Objects; Mesh; Volume Modeling

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FUNCTIONS;

EID: 1642443432     PISSN: 15309827     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1630817     Document Type: Conference Paper
Times cited : (8)

References (38)
  • 3
    • 0038794199 scopus 로고    scopus 로고
    • Heterogeneous Material Modeling with Distance Fields
    • University of Wisconsin-Madison, USA
    • Biswas, A., Shapiro, V., and Tsukanov, I., 2002, "Heterogeneous Material Modeling with Distance Fields," Technical Report SAL 2002-4, University of Wisconsin-Madison, USA.
    • (2002) Technical Report , vol.SAL 2002-4
    • Biswas, A.1    Shapiro, V.2    Tsukanov, I.3
  • 4
    • 0032631418 scopus 로고    scopus 로고
    • Meshfree Simulation of Deforming Domains
    • Shapiro, V., and Tsukanov, I., 1999, "Meshfree Simulation of Deforming Domains," Comput.-Aided Des., 31(7), pp. 459-471.
    • (1999) Comput.-aided Des. , vol.31 , Issue.7 , pp. 459-471
    • Shapiro, V.1    Tsukanov, I.2
  • 5
    • 0003509763 scopus 로고    scopus 로고
    • Mesh Generation: Application to Finite Elements
    • OXFORD & PARIS
    • Frey, P. J., and George, P.-L., 2000, Mesh Generation: Application to Finite Elements, HERMES Science Europe, OXFORD & PARIS, p. 814.
    • (2000) HERMES Science Europe , pp. 814
    • Frey, P.J.1    George, P.-L.2
  • 7
    • 0029479473 scopus 로고
    • Function Representation in Geometric Modelling: Concepts, Implementation and Applications
    • Pasko, A., Adzhiev, V., Sourin, A., and Savchenko, V., 1995, "Function Representation in Geometric Modelling: Concepts, Implementation and Applications," Visual Comput., 11(8), pp. 429-446.
    • (1995) Visual Comput. , vol.11 , Issue.8 , pp. 429-446
    • Pasko, A.1    Adzhiev, V.2    Sourin, A.3    Savchenko, V.4
  • 8
    • 0031100251 scopus 로고    scopus 로고
    • Automatic Unstructured Grid Generators
    • Lohner, R., 1997, "Automatic Unstructured Grid Generators," Finite Elem. Anal. Design, 25, pp. 114-134.
    • (1997) Finite Elem. Anal. Design , vol.25 , pp. 114-134
    • Lohner, R.1
  • 11
    • 84991419001 scopus 로고    scopus 로고
    • Constructive Representation of Heterogeneous Objects
    • Shin, K., and Dutta, D., 2001, "Constructive Representation of Heterogeneous Objects," J. Comput. Inf. Sci. Eng., 1(3), pp. 205-217.
    • (2001) J. Comput. Inf. Sci. Eng. , vol.1 , Issue.3 , pp. 205-217
    • Shin, K.1    Dutta, D.2
  • 12
    • 0034514986 scopus 로고    scopus 로고
    • Constructive Volume Geometry
    • Chen, M., and Tucker, J., 2000, "Constructive Volume Geometry, " Computer Graphics Forum, 19(4), pp. 281-293.
    • (2000) Computer Graphics Forum , vol.19 , Issue.4 , pp. 281-293
    • Chen, M.1    Tucker, J.2
  • 13
    • 0032794921 scopus 로고    scopus 로고
    • Modeling and Designing Functionally Graded Material Components for Fabrication with Local Composition Control
    • Jackson, T. R., Liu, H., Patrikalakis, N. M., Sachs, E. M., and Cima, M. J., 1999, "Modeling and Designing Functionally Graded Material Components for Fabrication with Local Composition Control," Mater. Des., 20(2/3), pp. 63-75.
    • (1999) Mater. Des. , vol.20 , Issue.2-3 , pp. 63-75
    • Jackson, T.R.1    Liu, H.2    Patrikalakis, N.M.3    Sachs, E.M.4    Cima, M.J.5
  • 14
    • 0034818015 scopus 로고    scopus 로고
    • Representation and Extraction of Volumetric Attributes Using Trivariate Splines: A Mathematical Framework
    • D. Anderson, K. Lee, eds., Ann Arbor, ACM Press
    • Martin, W., and Cohen, E., 2001, "Representation and Extraction of Volumetric Attributes Using Trivariate Splines: a Mathematical Framework," Proc. 6th ACM Symposium on Solid Modeling and Applications, D. Anderson, K. Lee, eds., Ann Arbor, ACM Press, pp. 234-240.
    • (2001) Proc. 6th ACM Symposium on Solid Modeling and Applications , pp. 234-240
    • Martin, W.1    Cohen, E.2
  • 15
    • 0034819390 scopus 로고    scopus 로고
    • Volumetric Multi-texturing for Functionally Gradient Material Representation
    • D. Anderson, and K. Lee, eds., Ann Arbor, ACM Press
    • Park, S. M., Crawford, R., and Beaman, J., 2001, "Volumetric Multi-texturing for Functionally Gradient Material Representation," Proc. 6th ACM Symposium on Solid Modeling and Applications, D. Anderson, and K. Lee, eds., Ann Arbor, ACM Press, pp. 216-224.
    • (2001) Proc. 6th ACM Symposium on Solid Modeling and Applications , pp. 216-224
    • Park, S.M.1    Crawford, R.2    Beaman, J.3
  • 16
    • 0000238022 scopus 로고
    • Data Structure for Soft Objects
    • Wyvill, G., McPheeters, C., and Wyvill, B., 1986, "Data Structure for Soft Objects," Visual Comput., 2(4), pp. 27-23.
    • (1986) Visual Comput. , vol.2 , Issue.4 , pp. 27-23
    • Wyvill, G.1    McPheeters, C.2    Wyvill, B.3
  • 17
    • 0001287167 scopus 로고
    • An Implicit Surface Polygonizer
    • P. Heckbert, ed., Academic Press
    • Bloomenthal, J., 1994, "An Implicit Surface Polygonizer," Graphics Gems IV, P. Heckbert, ed., Academic Press, pp. 324-349.
    • (1994) Graphics Gems IV , pp. 324-349
    • Bloomenthal, J.1
  • 18
    • 0031645916 scopus 로고    scopus 로고
    • A Marching Method for the Triangulation of Surfaces
    • Hartmann, E., 1998. "A Marching Method for the Triangulation of Surfaces," Visual Comput., 14(3), pp. 95-108.
    • (1998) Visual Comput. , vol.14 , Issue.3 , pp. 95-108
    • Hartmann, E.1
  • 19
    • 0035280624 scopus 로고    scopus 로고
    • Curvature-dependent Triangulation of Implicit Surfaces
    • Karkanis, T., and Stewart, A. J., 2001, '"Curvature-dependent Triangulation of Implicit Surfaces," IEEE Comput. Graphics Appl., 21(2), pp. 60-69.
    • (2001) IEEE Comput. Graphics Appl. , vol.21 , Issue.2 , pp. 60-69
    • Karkanis, T.1    Stewart, A.J.2
  • 20
    • 0000273206 scopus 로고
    • Geometric Modeling in the Analysis of Trivariate Functions
    • P10-86-310, Dubna, USSR (in Russian)
    • Pasko, A., Pilyugin, V., and Pokrovskiy, V., 1986, "Geometric Modeling in the Analysis of Trivariate Functions," Communications of Joint Institute of Nuclear Research, P10-86-310, Dubna, USSR (in Russian). English translation: 1988, Comput. Graphics, 12(3/4), pp. 457-465.
    • (1986) Communications of Joint Institute of Nuclear Research
    • Pasko, A.1    Pilyugin, V.2    Pokrovskiy, V.3
  • 21
    • 0000273206 scopus 로고
    • English translation
    • Pasko, A., Pilyugin, V., and Pokrovskiy, V., 1986, "Geometric Modeling in the Analysis of Trivariate Functions," Communications of Joint Institute of Nuclear Research, P10-86-310, Dubna, USSR (in Russian). English translation: 1988, Comput. Graphics, 12(3/4), pp. 457-465.
    • (1988) Comput. Graphics , vol.12 , Issue.3-4 , pp. 457-465
  • 22
    • 0023381475 scopus 로고
    • Marching Cubes: A High Resolution 3D Surface Construction Algorithm
    • Lorensen, W., and Cline, H., 1987, "Marching Cubes: a High Resolution 3D Surface Construction Algorithm," Comput. Graph., 21(4), pp. 163-169.
    • (1987) Comput. Graph. , vol.21 , Issue.4 , pp. 163-169
    • Lorensen, W.1    Cline, H.2
  • 23
    • 0002755073 scopus 로고
    • The Asymptotic Decider: Resolving the Ambiguity in Marching Cubes
    • IEEE Computer Society Press
    • Nielson, G., and Hamann, B., 1991, "The Asymptotic Decider: Resolving the Ambiguity in Marching Cubes," Proc. Visualization '91, IEEE Computer Society Press, pp. 29-38.
    • (1991) Proc. Visualization '91 , pp. 29-38
    • Nielson, G.1    Hamann, B.2
  • 24
    • 34250084382 scopus 로고
    • Cutting Cubes-Visualizing Implicit Surfaces by Adaptive Polygonization
    • Schmidt, M., 1993, "Cutting Cubes-Visualizing Implicit Surfaces by Adaptive Polygonization," Visual Comput., 10(2), pp. 101-115.
    • (1993) Visual Comput. , vol.10 , Issue.2 , pp. 101-115
    • Schmidt, M.1
  • 26
    • 84884754330 scopus 로고    scopus 로고
    • Dynamic Meshes for Accurate Polygonization of Implicit Surfaces with Sharp Features
    • IEEE Computer Society
    • Ohtake, Y., Belyaev, A., and Pasko, A., 2001, "Dynamic Meshes for Accurate Polygonization of Implicit Surfaces with Sharp Features," Shape Modeling International 2001, IEEE Computer Society, pp. 74-81.
    • (2001) Shape Modeling International 2001 , pp. 74-81
    • Ohtake, Y.1    Belyaev, A.2    Pasko, A.3
  • 27
    • 0036039711 scopus 로고    scopus 로고
    • Dual/primal Mesh Optimization for Polygonized Implicit Surfaces
    • K. Lee and N. Patrikalakis, eds., ACM Press, Saarbrucken
    • Ohtake Y., and Belyaev A., 2002, "Dual/primal Mesh Optimization for Polygonized Implicit Surfaces," Proc. 7th ACM Symposium on Solid Modeling and Applications, K. Lee and N. Patrikalakis, eds., ACM Press, Saarbrucken, pp. 171-178.
    • (2002) Proc. 7th ACM Symposium on Solid Modeling and Applications , pp. 171-178
    • Ohtake, Y.1    Belyaev, A.2
  • 29
  • 30
    • 0030720201 scopus 로고    scopus 로고
    • Surface Simplification Using Error Metrics
    • Garland M., and Heckbert, P. S., 1997, "Surface Simplification Using Error Metrics," Proc. SIGGRAPH 2001, pp. 209-216.
    • (1997) Proc. SIGGRAPH 2001 , pp. 209-216
    • Garland, M.1    Heckbert, P.S.2
  • 31
    • 0035501290 scopus 로고    scopus 로고
    • Model Simplification for Meshing Using Face Clustering
    • Sheffer, A., 2001, "Model Simplification for Meshing Using Face Clustering," Comput.-Aided Des., 33(13), pp. 925-934.
    • (2001) Comput.-aided Des. , vol.33 , Issue.13 , pp. 925-934
    • Sheffer, A.1
  • 32
    • 0000448399 scopus 로고    scopus 로고
    • A Survey of Unstructured Mesh Generation Technology
    • Dearborn, MI
    • Owen, S. J., 1998, "A Survey of Unstructured Mesh Generation Technology," Proc. 7th International Meshing Roundtable, Dearborn, MI.
    • (1998) Proc. 7th International Meshing Roundtable
    • Owen, S.J.1
  • 34
    • 0038456518 scopus 로고    scopus 로고
    • Gradient and Curvature Approximation in Data-dependent Surface Simplification
    • Frank, K., and Lang, U., 2000, "Gradient and Curvature Approximation in Data-dependent Surface Simplification," Computing and Visualization in Science, 2(4), pp. 221-228.
    • (2000) Computing and Visualization in Science , vol.2 , Issue.4 , pp. 221-228
    • Frank, K.1    Lang, U.2
  • 35
    • 0031277193 scopus 로고    scopus 로고
    • Tetrahedral Mesh Improvement Using Swapping and Smoothing
    • Freitag, L., and Ollivier-Gooch, C., 1997, "Tetrahedral Mesh Improvement Using Swapping and Smoothing." Int. J. Numer. Methods Eng., 40, pp. 3937-4002.
    • (1997) Int. J. Numer. Methods Eng. , vol.40 , pp. 3937-4002
    • Freitag, L.1    Ollivier-Gooch, C.2
  • 36
    • 0000460255 scopus 로고
    • A 3D Refinement Algorithm Suitable for Adaptive and Multi-grid Techniques
    • Rivara, M., and Levin, C., 1992. "A 3D Refinement Algorithm Suitable for Adaptive and Multi-grid Techniques," J. Comput. Appl. Math., 8. pp. 281-290.
    • (1992) J. Comput. Appl. Math. , vol.8 , pp. 281-290
    • Rivara, M.1    Levin, C.2
  • 37
    • 84968466551 scopus 로고
    • On the Shape of Tetrahedra from Bisection
    • Liu, A., and Joe, B., 1994, "On the Shape of Tetrahedra from Bisection," Math. Comput., 63, pp. 141-154.
    • (1994) Math. Comput. , vol.63 , pp. 141-154
    • Liu, A.1    Joe, B.2
  • 38
    • 0000311308 scopus 로고
    • Quality Local Refinement of Tetrahedral Meshes Based on Bisection
    • Liu, A., and Joe, B., 1995, "Quality Local Refinement of Tetrahedral Meshes Based on Bisection," SIAM J. Sci. Comput. (USA), 16, pp. 1269-1291.
    • (1995) SIAM J. Sci. Comput. (USA) , vol.16 , pp. 1269-1291
    • Liu, A.1    Joe, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.