메뉴 건너뛰기




Volumn 6, Issue 4, 2009, Pages 700-709

Stripification of free-form surfaces with global error bounds for developable approximation

Author keywords

Developable surface approximation; Free form parametric surfaces; Geometric optimization; Triangle strip

Indexed keywords

B SPLINES; CAD SYSTEM; DEVELOPABLE SURFACE APPROXIMATION; DEVELOPABLE SURFACES; FREE-FORM PARAMETRIC SURFACES; FREE-FORM SURFACE; GEOMETRIC OPTIMIZATION; GLOBAL ERROR BOUND; MANUFACTURING PROCESS; OPTIMIZATION PROBLEMS; PARAMETRIC SURFACES; STRIPIFICATION; TRIANGLE STRIP;

EID: 70350015118     PISSN: 15455955     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASE.2008.2009926     Document Type: Article
Times cited : (42)

References (29)
  • 1
    • 0026995440 scopus 로고
    • Geometric design and fabrication of developable surfaces
    • R. Bodduluri and B. Ravani, "Geometric design and fabrication of developable surfaces," ASME Adv. Design Autom., vol.2, pp. 243-250, 1992.
    • (1992) ASME Adv. Design Autom. , vol.2 , pp. 243-250
    • Bodduluri, R.1    Ravani, B.2
  • 2
    • 0027679170 scopus 로고
    • Design of developable surfaces using duality between plane and point geometries
    • R. Bodduluri and B. Ravani, "Design of developable surfaces using duality between plane and point geometries," Comput.-Aided Des., vol.25, pp. 621-632, 1993.
    • (1993) Comput.-Aided Des. , vol.25 , pp. 621-632
    • Bodduluri, R.1    Ravani, B.2
  • 5
    • 0029292233 scopus 로고
    • Model fabrication using surface layout projection
    • G. Elber, "Model fabrication using surface layout projection," Comput.-Aided Des., vol.27, pp. 283-291, 1995.
    • (1995) Comput.-Aided Des. , vol.27 , pp. 283-291
    • Elber, G.1
  • 6
    • 77954644377 scopus 로고    scopus 로고
    • Boundary triangulations approximating developable surfaces that interpolate a close space curve
    • W. Frey, "Boundary triangulations approximating developable surfaces that interpolate a close space curve," Int. J. Found. Comput. Sci., vol.13, pp. 285-302, 2002.
    • (2002) Int. J. Found. Comput. Sci. , vol.13 , pp. 285-302
    • Frey, W.1
  • 7
    • 1642486370 scopus 로고    scopus 로고
    • Modeling buckled developable surface by triangulation
    • W. Frey, "Modeling buckled developable surface by triangulation," Comput.-Aided Des., vol.36, pp. 299-313, 2004.
    • (2004) Comput.-Aided Des. , vol.36 , pp. 299-313
    • Frey, W.1
  • 8
    • 4644342306 scopus 로고    scopus 로고
    • Single-strip triangulation ofmanifolds with arbitrary topology
    • M. Gopi and D. Eppstein, "Single-strip triangulation ofmanifolds with arbitrary topology," Eurographics, pp. 371-379, 2004.
    • (2004) Eurographics , pp. 371-379
    • Gopi, M.1    Eppstein, D.2
  • 9
    • 0002116480 scopus 로고
    • Interpolation and approximation with developable B-spline surfaces
    • M. Dahlen, T. Lyche, and L. L. Schumaker, Eds
    • J. Hoschek and H. Pottmann, "Interpolation and approximation with developable B-spline surfaces," in Proc. Mathematical Methods for Curves and Surfaces, M. Dahlen, T. Lyche, and L. L. Schumaker, Eds., 1995, pp. 255-264.
    • (1995) Proc. Mathematical Methods for Curves and Surfaces , pp. 255-264
    • Hoschek, J.1    Pottmann, H.2
  • 10
    • 0032156596 scopus 로고    scopus 로고
    • Approximation of surfaces of revolution by developable surfaces
    • J. Hoschek, "Approximation of surfaces of revolution by developable surfaces," Comput.-Aided Des., vol.30, pp. 757-763, 1998.
    • (1998) Comput.-Aided Des. , vol.30 , pp. 757-763
    • Hoschek, J.1
  • 11
    • 85001807039 scopus 로고    scopus 로고
    • Optimization of mesh locality for transparent vertex caching
    • H. Hoppe, "Optimization of mesh locality for transparent vertex caching," in Proc. ACM SIGGRAPH'99, 1999, pp. 269-276.
    • (1999) Proc. ACM SIGGRAPH'99 , pp. 269-276
    • Hoppe, H.1
  • 12
    • 11544321913 scopus 로고    scopus 로고
    • Approximation of developable surfaces with cone spline surfaces
    • S. Leopoldseder and H. Pottmann, "Approximation of developable surfaces with cone spline surfaces," Comput.-Aided Des., vol.30, pp. 571-582, 1998.
    • (1998) Comput.-Aided Des. , vol.30 , pp. 571-582
    • Leopoldseder, S.1    Pottmann, H.2
  • 13
    • 34447637968 scopus 로고    scopus 로고
    • Modeling dynamic developable meshes by Hamilton principle
    • Y. J. Liu, K. Tang, and A. Joneja, "Modeling dynamic developable meshes by Hamilton principle," Comput.-Aided Des., vol.39, pp. 719-731, 2007.
    • (2007) Comput.-Aided Des. , vol.39 , pp. 719-731
    • Liu, Y.J.1    Tang, K.2    Joneja, A.3
  • 14
    • 84957709575 scopus 로고    scopus 로고
    • Faithful least squares fitting spheres, cylinders, cones, and tori for reliable segmentation
    • G. Lukacs, A. Marshall, and R. Martin, "Faithful least squares fitting spheres, cylinders, cones, and tori for reliable segmentation," Comput. Vis., pp. 671-686, 1998.
    • (1998) Comput. Vis. , pp. 671-686
    • Lukacs, G.1    Marshall, A.2    Martin, R.3
  • 15
    • 0030402657 scopus 로고    scopus 로고
    • Computation of shortest paths on free-form parametric surfaces
    • T. Maekawa, "Computation of shortest paths on free-form parametric surfaces," J. Mech. Des., vol.118, pp. 499-508, 1996.
    • (1996) J. Mech. Des. , vol.118 , pp. 499-508
    • Maekawa, T.1
  • 16
    • 46749092072 scopus 로고    scopus 로고
    • Papercraft models using generalized cylinders
    • F. Massarwi, C. Gotsman, and G. Elber, "Papercraft models using generalized cylinders," Pacific Graphics, pp. 148-157, 2007.
    • (2007) Pacific Graphics , pp. 148-157
    • Massarwi, F.1    Gotsman, C.2    Elber, G.3
  • 17
    • 12844284483 scopus 로고    scopus 로고
    • Making papercraft toys from meshes using strip-based approximate unfolding
    • J. Mitani and H. Suzuki, "Making papercraft toys from meshes using strip-based approximate unfolding," ACM Trans. Graphics (SIG- GRAPH'04), vol.23, pp. 259-263, 2004.
    • (2004) ACM Trans. Graphics (SIG- GRAPH'04) , vol.23 , pp. 259-263
    • Mitani, J.1    Suzuki, H.2
  • 18
    • 0001257820 scopus 로고
    • Tessellation of NURBS surfaces
    • P. S. Heckbert, Ed.
    • J. Peterson, "Tessellation of NURBS surfaces," in Proc. Graphics Gems IV, P. S. Heckbert, Ed., 1994, pp. 286-320.
    • (1994) Proc. Graphics Gems , vol.4 , pp. 286-320
    • Peterson, J.1
  • 19
    • 0029230512 scopus 로고
    • Tessellating trimmed NURBS surfaces
    • L. Peigl and M. Rchard, "Tessellating trimmed NURBS surfaces," Comput.-Aided Des., vol.27, pp. 16-26, 1995.
    • (1995) Comput.-Aided Des. , vol.27 , pp. 16-26
    • Peigl, L.1    Rchard, M.2
  • 20
    • 0031704766 scopus 로고    scopus 로고
    • Geometry-based triangulation of trimmed NURBS surfaces
    • L. Peigl and W. Tiller, "Geometry-based triangulation of trimmed NURBS surfaces," Comput.-Aided Des., vol.30, pp. 11-18, 1998.
    • (1998) Comput.-Aided Des. , vol.30 , pp. 11-18
    • Peigl, L.1    Tiller, W.2
  • 21
    • 0029357520 scopus 로고
    • Developable rational Bezier and B-spline surfaces
    • H. Pottmann and G. Farin, "Developable rational Bezier and B-spline surfaces," Comput. Aided Geomet. Des., vol.12, pp. 513-531, 1995.
    • (1995) Comput. Aided Geomet. Des. , vol.12 , pp. 513-531
    • Pottmann, H.1    Farin, G.2
  • 22
    • 0031645991 scopus 로고    scopus 로고
    • Rotational and helical surface approximation for reverse engineering
    • H. Pottmann and T. Randrup, "Rotational and helical surface approximation for reverse engineering," Comput., vol.60, pp. 307-323, 1998.
    • (1998) Comput. , vol.60 , pp. 307-323
    • Pottmann, H.1    Randrup, T.2
  • 23
    • 0033165273 scopus 로고    scopus 로고
    • Approximation algorithms for developable surfaces
    • H. Pottmann and J. Wallner, "Approximation algorithms for developable surfaces," Comput. Aided Geom. Des., vol.16, pp. 539-556, 1999.
    • (1999) Comput. Aided Geom. Des. , vol.16 , pp. 539-556
    • Pottmann, H.1    Wallner, J.2
  • 25
    • 0032156782 scopus 로고    scopus 로고
    • Approximation of surfaces by cylinders
    • T. Randrup, "Approximation of surfaces by cylinders," Comput.-Aided Des., vol.30, pp. 807-812, 1998.
    • (1998) Comput.-Aided Des. , vol.30 , pp. 807-812
    • Randrup, T.1
  • 26
    • 33749355241 scopus 로고    scopus 로고
    • Piecewise developable surface approximation of general NURBS surfaces with global error bounds,"
    • J. Subag and G. Elber, "Piecewise developable surface approximation of general NURBS surfaces with global error bounds," Proc. GMP2006, LNCS, vol.4077, pp. 143-156, 2006.
    • (2006) Proc. GMP2006, LNCS , vol.4077 , pp. 143-156
    • Subag, J.1    Elber, G.2
  • 27
    • 17044370416 scopus 로고    scopus 로고
    • Modeling developable folds on a strip
    • K. Tang and C. Wang, "Modeling developable folds on a strip," J. Comput. Inform. Sci. Eng., vol.5, pp. 35-47, 2005.
    • (2005) J. Comput. Inform. Sci. Eng. , vol.5 , pp. 35-47
    • Tang, K.1    Wang, C.2
  • 28
    • 0023851148 scopus 로고
    • Computer-aided treatment of developable surfaces
    • G. Weiss and P. Furtner, "Computer-aided treatment of developable surfaces," Comput. Graph., vol.12, pp. 39-51, 1988.
    • (1988) Comput. Graph. , vol.12 , pp. 39-51
    • Weiss, G.1    Furtner, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.