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Volumn 67, Issue 1, 2005, Pages 43-71

Dynamic PDE-based surface design using geometric and physical constraints

Author keywords

Deformable models; Geometric design; Interactive techniques; PDE surfaces; Physics based modeling

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; DATA ACQUISITION; FUNCTIONS; GEOMETRICAL OPTICS; MATHEMATICAL TECHNIQUES; PRODUCT DESIGN; SURFACE MEASUREMENT;

EID: 10044289619     PISSN: 15240703     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.gmod.2004.06.002     Document Type: Article
Times cited : (38)

References (44)
  • 3
    • 0003655743 scopus 로고    scopus 로고
    • Curves and surfaces for computer-aided geometric design
    • Academic Press, New York
    • G. Farin, Curves and Surfaces for Computer-Aided Geometric Design, A Practical Guide, Academic Press, New York, 1996.
    • (1996) A Practical Guide
    • Farin, G.1
  • 4
    • 0024062018 scopus 로고
    • Hierarchical b-spline refinement
    • D.R. Forsey, R.H. Bartels, Hierarchical b-spline refinement, Computer Graphics 22 (4) (1988) 205-212.
    • (1988) Computer Graphics , vol.22 , Issue.4 , pp. 205-212
    • Forsey, D.R.1    Bartels, R.H.2
  • 5
    • 0025791371 scopus 로고
    • On NURBS: A survey
    • L. Piegl, On NURBS: a survey, IEEE Comput. Graph. Appl. 11 (1) (1991) 55-71.
    • (1991) IEEE Comput. Graph. Appl. , vol.11 , Issue.1 , pp. 55-71
    • Piegl, L.1
  • 6
    • 0023456371 scopus 로고
    • Curve and surface constructions using rational B-splines
    • L. Piegl, W. Tiller, Curve and surface constructions using rational B-splines, Comput. Aided Des. 19 (9) (1987) 485-498.
    • (1987) Comput. Aided Des. , vol.19 , Issue.9 , pp. 485-498
    • Piegl, L.1    Tiller, W.2
  • 8
    • 0034475253 scopus 로고    scopus 로고
    • Implicit and non-parametric shape reconstruction from unorganized points using variational level set method
    • H.K. Zhao, S. Osher, B. Merriman, M. Kang, Implicit and non-parametric shape reconstruction from unorganized points using variational level set method, Comput. Vision Image Understand. 80 (3) (2000) 295-319.
    • (2000) Comput. Vision Image Understand. , vol.80 , Issue.3 , pp. 295-319
    • Zhao, H.K.1    Osher, S.2    Merriman, B.3    Kang, M.4
  • 10
    • 0035302427 scopus 로고    scopus 로고
    • A level-set approach for the metamorphosis of solid models
    • D. Breen, R. Whitaker, A level-set approach for the metamorphosis of solid models, IEEE Trans. Visual. Comput. Graph. 7 (2) (2001) 173-192.
    • (2001) IEEE Trans. Visual. Comput. Graph. , vol.7 , Issue.2 , pp. 173-192
    • Breen, D.1    Whitaker, R.2
  • 11
    • 0002476684 scopus 로고
    • Blend design as a boundary-value problem
    • I.W. Straßer (Ed.), Springer-Verlag, Berlin
    • M.I.G. Bloor, M.J. Wilson, Blend design as a boundary-value problem, in: I.W. Straßer (Ed.), Geometric Modeling: Theory and Practice, Springer-Verlag, Berlin, 1989, pp. 221-234.
    • (1989) Geometric Modeling: Theory and Practice , pp. 221-234
    • Bloor, M.I.G.1    Wilson, M.J.2
  • 12
    • 0024641535 scopus 로고
    • Generating blend surfaces using partial differential equations
    • M.I.G. Bloor, M.J. Wilson, Generating blend surfaces using partial differential equations, Comput. Aided Des. 21 (3) (1989) 165-171.
    • (1989) Comput. Aided Des. , vol.21 , Issue.3 , pp. 165-171
    • Bloor, M.I.G.1    Wilson, M.J.2
  • 13
    • 0025432596 scopus 로고
    • Using partial differential equations to generate free-form surfaces
    • M.I.G. Bloor, M.J. Wilson, Using partial differential equations to generate free-form surfaces, Comput. Aided Des. 22 (4) (1990) 202-212.
    • (1990) Comput. Aided Des. , vol.22 , Issue.4 , pp. 202-212
    • Bloor, M.I.G.1    Wilson, M.J.2
  • 15
    • 0342903147 scopus 로고    scopus 로고
    • Direct manipulation and interactive sculpting of PDE surfaces
    • H. Du, H. Qin, Direct manipulation and interactive sculpting of PDE surfaces, Comput. Graph. Forum 19 (3) (2000) C261-C270.
    • (2000) Comput. Graph. Forum , vol.19 , Issue.3
    • Du, H.1    Qin, H.2
  • 16
    • 84949495743 scopus 로고    scopus 로고
    • Dynamic PDE surfaces with flexible and general constraints
    • Hong Kong
    • H. Du, H. Qin, Dynamic PDE surfaces with flexible and general constraints, in: Proceedings of the Pacific Graphics 2000, Hong Kong, 2000, pp. 213-222.
    • (2000) Proceedings of the Pacific Graphics 2000 , pp. 213-222
    • Du, H.1    Qin, H.2
  • 17
    • 0025457455 scopus 로고
    • Representing PDE surfaces in terms of B-splines
    • M.I.G. Bloor, M.J. Wilson, Representing PDE surfaces in terms of B-splines, Comput. Aided Des. 22 (6) (1990) 324-331.
    • (1990) Comput. Aided Des. , vol.22 , Issue.6 , pp. 324-331
    • Bloor, M.I.G.1    Wilson, M.J.2
  • 18
    • 0038456178 scopus 로고
    • Functionality in solids obtained from partial differential equations
    • M.I.G. Bloor, M.J. Wilson, Functionality in solids obtained from partial differential equations, Comput. Suppl. 8 (1993) 21-42.
    • (1993) Comput. Suppl. , vol.8 , pp. 21-42
    • Bloor, M.I.G.1    Wilson, M.J.2
  • 19
    • 0001652094 scopus 로고    scopus 로고
    • Spectral approximations to PDE surfaces
    • M.I.G. Bloor, M.J. Wilson, Spectral approximations to PDE surfaces, Comput. Aided Des. 28 (2) (1996) 145-152.
    • (1996) Comput. Aided Des. , vol.28 , Issue.2 , pp. 145-152
    • Bloor, M.I.G.1    Wilson, M.J.2
  • 20
    • 0005787741 scopus 로고    scopus 로고
    • Techniques for interactive design using the PDE method
    • H. Ugail, M.I.G. Bloor, M.J. Wilson, Techniques for interactive design using the PDE method, ACM Trans. Graph. 18 (2) (1999) 195-212.
    • (1999) ACM Trans. Graph. , vol.18 , Issue.2 , pp. 195-212
    • Ugail, H.1    Bloor, M.I.G.2    Wilson, M.J.3
  • 22
    • 84946740995 scopus 로고
    • Modeling inelastic deformation: Viscoelasticity, plasticity, fracture
    • Atlanta, GA, USA
    • D. Terzopoulos, K. Fleischer, Modeling inelastic deformation: viscoelasticity, plasticity, fracture, in: SIGGRAPH 88, Atlanta, GA, USA, 1988, pp. 269-278.
    • (1988) SIGGRAPH 88 , pp. 269-278
    • Terzopoulos, D.1    Fleischer, K.2
  • 24
    • 0000362284 scopus 로고
    • Deformable curve and surface finite elements for free-form shape design
    • G. Celniker, D. Gossard, Deformable curve and surface finite elements for free-form shape design, Comput. Graph. 25 (4) (1991) 165-170.
    • (1991) Comput. Graph. , vol.25 , Issue.4 , pp. 165-170
    • Celniker, G.1    Gossard, D.2
  • 25
    • 0030105827 scopus 로고    scopus 로고
    • D-NURBS: A physics-based framework for geometric design
    • H. Qin, D. Terzopoulos, D-NURBS: A physics-based framework for geometric design, IEEE Trans. Visual. Comput. Graph. 2 (1) (1996) 85-96.
    • (1996) IEEE Trans. Visual. Comput. Graph. , vol.2 , Issue.1 , pp. 85-96
    • Qin, H.1    Terzopoulos, D.2
  • 26
    • 0028410401 scopus 로고
    • Dynamic NURBS with geometric constraints for interactive sculpting
    • D. Terzopoulos, H. Qin, Dynamic NURBS with geometric constraints for interactive sculpting, ACM Trans. Graph. 13 (2) (1994) 103-136.
    • (1994) ACM Trans. Graph. , vol.13 , Issue.2 , pp. 103-136
    • Terzopoulos, D.1    Qin, H.2
  • 29
    • 84855567374 scopus 로고    scopus 로고
    • Large steps in cloth simulation
    • Orlando, FL, USA
    • D. Baraff, A. Witkin, Large steps in cloth simulation, in: SIGGRAPH 98, Orlando, FL, USA, 1998, pp. 43-54.
    • (1998) SIGGRAPH 98 , pp. 43-54
    • Baraff, D.1    Witkin, A.2
  • 30
    • 0026886626 scopus 로고
    • Dressing animated synthetic actors with complex deformable clothes
    • Chicago, IL, USA
    • M. Carignan, Y. Yang, N.M. Thalmann, D. Thalmann, Dressing animated synthetic actors with complex deformable clothes, in: SIGGRAPH 92, Chicago, IL, USA, 1992, pp. 99-104.
    • (1992) SIGGRAPH 92 , pp. 99-104
    • Carignan, M.1    Yang, Y.2    Thalmann, N.M.3    Thalmann, D.4
  • 31
    • 0038456172 scopus 로고    scopus 로고
    • Dynamic implicit solids with constraints for haptic sculpting
    • Banff, Alberta, Canada
    • J. Hua, H. Qin, Dynamic implicit solids with constraints for haptic sculpting, in: Proc. Internat. Conf. on Shape Modeling and Applications, Banff, Alberta, Canada, 2002, pp. 119-128.
    • (2002) Proc. Internat. Conf. on Shape Modeling and Applications , pp. 119-128
    • Hua, J.1    Qin, H.2
  • 33
    • 0032636957 scopus 로고    scopus 로고
    • A novel FEM-based dynamic framework for subdivision surfaces
    • Ann Arbor, MI, USA
    • C. Mandal, H. Qin, B.C. Vemuri, A novel FEM-based dynamic framework for subdivision surfaces, in: Fifth Symposium on Solid Modeling, Ann Arbor, MI, USA, 1999, pp. 191-202.
    • (1999) Fifth Symposium on Solid Modeling , pp. 191-202
    • Mandal, C.1    Qin, H.2    Vemuri, B.C.3
  • 35
    • 0031621638 scopus 로고    scopus 로고
    • Wires: A geometric deformation technique
    • Orlando, FL, USA
    • K. Singh, E. Fiume, Wires: a geometric deformation technique, in: SIGGRAPH 1998, Orlando, FL, USA, 1998, pp. 405-414.
    • (1998) SIGGRAPH 1998 , pp. 405-414
    • Singh, K.1    Fiume, E.2
  • 36
    • 0034446937 scopus 로고    scopus 로고
    • Piecewise smooth subdivision surfaces with normal control
    • New Orleans, LA, USA
    • H. Biermann, A. Levin, D. Zorin, Piecewise smooth subdivision surfaces with normal control, in: SIGGRAPH 2000, New Orleans, LA, USA, 2000, pp. 113-120.
    • (2000) SIGGRAPH 2000 , pp. 113-120
    • Biermann, H.1    Levin, A.2    Zorin, D.3
  • 38
    • 0030415733 scopus 로고    scopus 로고
    • Fitting smooth surface to dense polygon meshes
    • USA
    • V. Krishnamurthy, M. Levoy, Fitting smooth surface to dense polygon meshes, in: SIGGRAPH 1996, USA, 1996, pp. 313-324.
    • (1996) SIGGRAPH 1996 , pp. 313-324
    • Krishnamurthy, V.1    Levoy, M.2
  • 39
    • 0034446818 scopus 로고    scopus 로고
    • Displaced subdivision surfaces
    • New Orleans, LA, USA
    • A. Lee, H. Moreton, H. Hoppe, Displaced subdivision surfaces, in: SIGGRAPH 2000, New Orleans, LA, USA, 2000, pp. 85-94.
    • (2000) SIGGRAPH 2000 , pp. 85-94
    • Lee, A.1    Moreton, H.2    Hoppe, H.3
  • 40
    • 84880731115 scopus 로고    scopus 로고
    • Multiresolution shape deformations for meshes with dynamic vertex connectivity
    • Interlaken, Switzerland
    • L. Kobbelt, T. Bareuther, H.-P. Seidel, Multiresolution shape deformations for meshes with dynamic vertex connectivity, in: Proceedings of the EuroGraphics 2000, Interlaken, Switzerland, 2000, pp. C417-C427.
    • (2000) Proceedings of the EuroGraphics 2000
    • Kobbelt, L.1    Bareuther, T.2    Seidel, H.-P.3
  • 41
    • 0036450725 scopus 로고    scopus 로고
    • Virtual sculpting with haptic displacement maps
    • Calgary, Alberta
    • R. Jagnow, J. Dorsey, Virtual sculpting with haptic displacement maps, in: Proceedings of the Graphics Interface, Calgary, Alberta, 2002, pp. 125-132.
    • (2002) Proceedings of the Graphics Interface , pp. 125-132
    • Jagnow, R.1    Dorsey, J.2
  • 43
    • 84976724020 scopus 로고
    • A butterfly subdivision scheme for surface interpolation with tension control
    • N. Dyn, D. Levin, J.A. Gregory, A butterfly subdivision scheme for surface interpolation with tension control, ACM Transaction on Graphics 9 (2) (1990) 160-169.
    • (1990) ACM Transaction on Graphics , vol.9 , Issue.2 , pp. 160-169
    • Dyn, N.1    Levin, D.2    Gregory, J.A.3
  • 44
    • 0030247362 scopus 로고    scopus 로고
    • Interpolary subdivision on open quadrilateral nets with arbitrary topology
    • L. Kobbelt, Interpolary subdivision on open quadrilateral nets with arbitrary topology. Computer Graphics Forum 15 (3) (1996) 409-420.
    • (1996) Computer Graphics Forum , vol.15 , Issue.3 , pp. 409-420
    • Kobbelt, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.