메뉴 건너뛰기




Volumn 29, Issue 1, 1997, Pages 5-19

An accelerated triangulation method for computing the skeletons of free-form solid models

Author keywords

Delaunay triangulation; Implicit solid models; Medial axis; Skeleton generation; Surface curvature

Indexed keywords

ALGORITHMS; BODIES OF REVOLUTION; CURVE FITTING; MATHEMATICAL MODELS; MATHEMATICAL MORPHOLOGY; OPTIMIZATION; THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 0030833528     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(96)00036-X     Document Type: Article
Times cited : (59)

References (38)
  • 1
    • 0001287167 scopus 로고
    • An implicit surface polygonizer
    • ed. P. S. Heckbert. AP Professional, Cambridge, MA
    • Bloomenthal, J., An implicit surface polygonizer. In Graphics Gems IV, ed. P. S. Heckbert. AP Professional, Cambridge, MA, 1994, pp. 324-349.
    • (1994) Graphics Gems IV , vol.4 , pp. 324-349
    • Bloomenthal, J.1
  • 2
    • 0001803094 scopus 로고
    • A transformation for extracting new descriptors of shape
    • ed. W. Wathen-Dunn. MIT Press
    • Blum, H., A transformation for extracting new descriptors of shape. In Models for the Perception of Speech and Visual Form, ed. W. Wathen-Dunn. MIT Press, 1967, pp. 362-381.
    • (1967) Models for the Perception of Speech and Visual Form , pp. 362-381
    • Blum, H.1
  • 3
    • 84913415905 scopus 로고
    • Geometric surfaces for 3-dimensional shape representation
    • Boissonnat, J. D., Geometric surfaces for 3-dimensional shape representation. ACM Transactions on Graphics, 1984, 3(4).
    • (1984) ACM Transactions on Graphics , vol.3 , Issue.4
    • Boissonnat, J.D.1
  • 9
    • 0023825834 scopus 로고
    • Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines
    • DeRose, T. and Goldman, R., Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines. ACM Transactions on Graphics, 1988, 7(1).
    • (1988) ACM Transactions on Graphics , vol.7 , Issue.1
    • DeRose, T.1    Goldman, R.2
  • 12
    • 0029247673 scopus 로고
    • Boundary surface recovery from skeleton curves and surfaces
    • Gelston, S. M. and Dutta, D., Boundary surface recovery from skeleton curves and surfaces, Computer-Aided Geometric Design, 1995, 12(2), 27-51.
    • (1995) Computer-Aided Geometric Design , vol.12 , Issue.2 , pp. 27-51
    • Gelston, S.M.1    Dutta, D.2
  • 13
    • 0026882917 scopus 로고
    • An automated coarse and fine surface mesh generation scheme based on medial axis transform, part I: Algorithms
    • Gursoy, H. N. and Patrikalakis, N. M., An automated coarse and fine surface mesh generation scheme based on medial axis transform, part I: Algorithms. Engineering with Computers, 1992, 8(3).
    • (1992) Engineering with Computers , vol.8 , Issue.3
    • Gursoy, H.N.1    Patrikalakis, N.M.2
  • 14
    • 0042509513 scopus 로고
    • On computing Voronoi diagrams of convex polyhedra by means of wavefront propagation
    • Saskatchewan, Canada, Aug.
    • Held, M., On computing Voronoi diagrams of convex polyhedra by means of wavefront propagation. In Procedure 6th Canadian Conference Computers in Geometry, Saskatchewan, Canada, Aug. 1994, pp. 128-133.
    • (1994) Procedure 6th Canadian Conference Computers in Geometry , pp. 128-133
    • Held, M.1
  • 15
    • 0043010457 scopus 로고
    • How to construct the skeletons of CSG objects
    • ed. A. Bowyer and J. Davenport. Oxford University Press
    • Hoffmann, C. M., How to construct the skeletons of CSG objects. In Proceedings of the Fourth IMA Conference: The Mathematics of Surfaces ed. A. Bowyer and J. Davenport. Oxford University Press, 1994, pp. 77-88.
    • (1994) Proceedings of the Fourth IMA Conference: The Mathematics of Surfaces , pp. 77-88
    • Hoffmann, C.M.1
  • 16
    • 0043010498 scopus 로고
    • Constrained surface computations and applications in geomeric modeling
    • World Scientific Publishing
    • Hoffmann, C. M., Constrained surface computations and applications in geomeric modeling. In Workshop on Computational Geometry World Scientific Publishing, 1993, pp. 175-200.
    • (1993) Workshop on Computational Geometry , pp. 175-200
    • Hoffmann, C.M.1
  • 20
    • 0026678261 scopus 로고
    • Simulating the grassfire transform using an active contour model
    • Leymarie, F. and Levine, M. D., Simulating the grassfire transform using an active contour model. IEEE PAMI, 1992, 14(1).
    • (1992) IEEE PAMI , vol.14 , Issue.1
    • Leymarie, F.1    Levine, M.D.2
  • 21
    • 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, 1982, 20, 40-57.
    • (1982) Computer Graphics and Image Processing , vol.20 , pp. 40-57
    • Nackman, L.R.1
  • 23
    • 0042509509 scopus 로고
    • Feature extraction from B-spline marine propeller representations
    • Patrikalakis, N. M. and Bardis. L., Feature extraction from B-spline marine propeller representations. Journal of Ship Research, 1992, 36(3).
    • (1992) Journal of Ship Research , vol.36 , Issue.3
    • Patrikalakis, N.M.1    Bardis, L.2
  • 25
    • 0029195503 scopus 로고
    • Computation of 3D skeletons by a generalized Delaunay triangulation technique
    • Reddy, J. M. and Turkiyyah, G. M., Computation of 3D skeletons by a generalized Delaunay triangulation technique. Computer-Aided Design, 1995, 27(9), 677-694.
    • (1995) Computer-Aided Design , vol.27 , Issue.9 , pp. 677-694
    • Reddy, J.M.1    Turkiyyah, G.M.2
  • 26
    • 0000397256 scopus 로고
    • A constructive geometry for computer graphics
    • Ricci, A., A constructive geometry for computer graphics. The Computer Journal, 1972, 16(2), 157-160.
    • (1972) The Computer Journal , vol.16 , Issue.2 , pp. 157-160
    • Ricci, A.1
  • 27
    • 0024685340 scopus 로고
    • An O(N) algorithm to automatically generate geometric triangulations satisfying the Delaunay circumsphere criteria
    • Schroeder, W. J. and Shephard, M. S., An O(N) algorithm to automatically generate geometric triangulations satisfying the Delaunay circumsphere criteria. Engineering with Computers, 1989, 5(3).
    • (1989) Engineering with Computers , vol.5 , Issue.3
    • Schroeder, W.J.1    Shephard, M.S.2
  • 28
    • 0024612642 scopus 로고
    • Using a mixed wave/diffusion process to elicit the symmetry set
    • Scott, G. L., Turner, S. C. and Zisserman, A., Using a mixed wave/diffusion process to elicit the symmetry set. Image and Vision Computing, 1989, 7, 63-70.
    • (1989) Image and Vision Computing , vol.7 , pp. 63-70
    • Scott, G.L.1    Turner, S.C.2    Zisserman, A.3
  • 33
    • 0003223204 scopus 로고
    • A tutorial on implicit solid modeling
    • Storti, D. W., Ganter, M. A. and Nevrinceanu, C., A tutorial on implicit solid modeling. Mathematica, 1992, 2(3), 70-78.
    • (1992) Mathematica , vol.2 , Issue.3 , pp. 70-78
    • Storti, D.W.1    Ganter, M.A.2    Nevrinceanu, C.3
  • 35
    • 0008387063 scopus 로고
    • Generation and interpretation of finite element models in a knowledge based environment
    • Carnegie Mellon University, Department of Civil Engineering
    • Turkiyyah, G. and Fenves, J., Generation and interpretation of finite element models in a knowledge based environment. Technical Report. R-90-188, Carnegie Mellon University, Department of Civil Engineering, 1990.
    • (1990) Technical Report. R-90-188
    • Turkiyyah, G.1    Fenves, J.2
  • 36
    • 0042008740 scopus 로고
    • Computational procedures for topological shape design
    • University of Washington, Department of Civil Engineering
    • Vimawala, M. S. and Turkiyyah, G. M., Computational procedures for topological shape design, Technical Report. SGEM-94-5, University of Washington, Department of Civil Engineering, 1994.
    • (1994) Technical Report. SGEM-94-5
    • Vimawala, M.S.1    Turkiyyah, G.M.2
  • 37
    • 0011526786 scopus 로고    scopus 로고
    • Cut locus and medial axis in global shape interrogation and representation
    • in press
    • Wolter, F.-E., Cut locus and medial axis in global shape interrogation and representation. Computer-Aided Geometric Design (in press).
    • Computer-Aided Geometric Design
    • Wolter, F.-E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.