메뉴 건너뛰기




Volumn 39, Issue 5, 2007, Pages 389-397

Theoretically-based algorithms for robustly tracking intersection curves of deforming surfaces

Author keywords

Deforming surface surface intersection; Evolution vector field; Generalized offset surface; Shape computation of implicit 2 manifold in 5 space; Topological transition event

Indexed keywords

ALGORITHMS; PROBLEM SOLVING; ROBUST CONTROL; THREE DIMENSIONAL COMPUTER GRAPHICS; VECTORS; VIRTUAL REALITY;

EID: 34248230194     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2007.02.015     Document Type: Article
Times cited : (5)

References (39)
  • 1
    • 0001945369 scopus 로고
    • ∞-mappings, I: The division theorem
    • II. Infinitesimal stability implies stability. Annals of Mathematics 1969;89:254-91; III. Finitely determined map germs. Publications Matématiques. Institut de Hautes Études Scientifiques 1968;36:127-56; IV. Classification of stable germs by R-algebras. Publications Matématiques. Institut de Hautes Études Scientifiques 1969;37:223-48; V. Transversality. Advances in Mathematics 1970;37:301-36; VI. The nice dimensions. In: Liverpool singularities symposium I. In: Lecture Notes in Math Springer; vol. 192 1970. p. 207-53
    • ∞-mappings, I: The division theorem. Annals of Mathematics 89 (1969) 89-104 II. Infinitesimal stability implies stability. Annals of Mathematics 1969;89:254-91; III. Finitely determined map germs. Publications Matématiques. Institut de Hautes Études Scientifiques 1968;36:127-56; IV. Classification of stable germs by R-algebras. Publications Matématiques. Institut de Hautes Études Scientifiques 1969;37:223-48; V. Transversality. Advances in Mathematics 1970;37:301-36; VI. The nice dimensions. In: Liverpool singularities symposium I. In: Lecture Notes in Math Springer; vol. 192 1970. p. 207-53
    • (1969) Annals of Mathematics , vol.89 , pp. 89-104
    • Mather, J.1
  • 2
    • 0001062342 scopus 로고    scopus 로고
    • Determining intersection curves between surfaces of two solids
    • Abdel-Malek K., and Yeh H. Determining intersection curves between surfaces of two solids. Computer-Aided Design 28 6-7 (1996) 539-549
    • (1996) Computer-Aided Design , vol.28 , Issue.6-7 , pp. 539-549
    • Abdel-Malek, K.1    Yeh, H.2
  • 5
    • 0025442430 scopus 로고
    • A marching method for parametric surface/surface intersection
    • Barnhill R.E., and Kersey S.N. A marching method for parametric surface/surface intersection. Computer Aided Geometric Design 7 1-4 (1990) 257-280
    • (1990) Computer Aided Geometric Design , vol.7 , Issue.1-4 , pp. 257-280
    • Barnhill, R.E.1    Kersey, S.N.2
  • 6
    • 1842582527 scopus 로고    scopus 로고
    • On the smoothness and geometry of boundaries associated to skeletal structures I: Sufficient conditions for smoothness
    • Damon J. On the smoothness and geometry of boundaries associated to skeletal structures I: Sufficient conditions for smoothness. Annales de I'Institut Fourier 53 (2003) 1941-1985
    • (2003) Annales de I'Institut Fourier , vol.53 , pp. 1941-1985
    • Damon, J.1
  • 7
    • 27144464551 scopus 로고    scopus 로고
    • On the smoothness and geometry of boundaries associated to skeletal structures II: Geometry in the blum case
    • Damon J. On the smoothness and geometry of boundaries associated to skeletal structures II: Geometry in the blum case. Compositio Mathematica 140 6 (2004) 1657-1674
    • (2004) Compositio Mathematica , vol.140 , Issue.6 , pp. 1657-1674
    • Damon, J.1
  • 8
    • 14844348522 scopus 로고    scopus 로고
    • Determining the geometry of boundaries of objects from medial data
    • Damon J. Determining the geometry of boundaries of objects from medial data. International Journal of Computer Vision 63 1 (2005) 45-64
    • (2005) International Journal of Computer Vision , vol.63 , Issue.1 , pp. 45-64
    • Damon, J.1
  • 10
    • 0034826167 scopus 로고    scopus 로고
    • Elber G, Kim M-S. Geometric constraint solver using multivariate rational spline functions In: ACM symposium on solid modeling and applications. 2001. p. 1-10
  • 13
    • 24644498166 scopus 로고    scopus 로고
    • Curvature formulas for implicit curves and surfaces
    • Goldman R. Curvature formulas for implicit curves and surfaces. Computer Aided Geometric Design 22 7 (2005) 632-658
    • (2005) Computer Aided Geometric Design , vol.22 , Issue.7 , pp. 632-658
    • Goldman, R.1
  • 14
    • 34248138288 scopus 로고    scopus 로고
    • Hamann B. Visualization and modeling contours of trivariate functions. Ph.D. thesis. Computer Science Department, Arizona State Univeristy; 1991
  • 20
    • 0026626926 scopus 로고
    • Topological and differential-equation methods for surface intersections
    • Kriezis G.A., Patrikalakis N.M., and Wolter F.E. Topological and differential-equation methods for surface intersections. Computer-Aided Design 24 1 (1992) 41-55
    • (1992) Computer-Aided Design , vol.24 , Issue.1 , pp. 41-55
    • Kriezis, G.A.1    Patrikalakis, N.M.2    Wolter, F.E.3
  • 23
    • 0032676954 scopus 로고    scopus 로고
    • An overview of offset curves and surfaces
    • Maekawa T. An overview of offset curves and surfaces. Computer-Aided Design 31 3 (1999) 165-173
    • (1999) Computer-Aided Design , vol.31 , Issue.3 , pp. 165-173
    • Maekawa, T.1
  • 24
    • 0027678264 scopus 로고
    • Computation of singularities and intersections of offsets of planar curves
    • Maekawa T., and Patrikalakis N.M. Computation of singularities and intersections of offsets of planar curves. Computer Aided Geometric Design 10 5 (1993) 407-429
    • (1993) Computer Aided Geometric Design , vol.10 , Issue.5 , pp. 407-429
    • Maekawa, T.1    Patrikalakis, N.M.2
  • 25
    • 0024735579 scopus 로고
    • Solutions of tangential surface and curve intersections
    • Markot R.P., and Magedson R.L. Solutions of tangential surface and curve intersections. Computer-Aided Design 21 7 (1989) 421-427
    • (1989) Computer-Aided Design , vol.21 , Issue.7 , pp. 421-427
    • Markot, R.P.1    Magedson, R.L.2
  • 27
    • 2442675676 scopus 로고    scopus 로고
    • Intersection of two offset parametric surfaces based on topology analysis
    • Ouyang Y., Tang M., Lin J., and Dong J. Intersection of two offset parametric surfaces based on topology analysis. Journal of Zhejiang University Sci 5 3 (2004) 259-268
    • (2004) Journal of Zhejiang University Sci , vol.5 , Issue.3 , pp. 259-268
    • Ouyang, Y.1    Tang, M.2    Lin, J.3    Dong, J.4
  • 29
    • 38249011793 scopus 로고
    • Offset curves and surfaces: A brief survey
    • Pham B. Offset curves and surfaces: A brief survey. Computer-Aided Design 24 4 (1992) 223-229
    • (1992) Computer-Aided Design , vol.24 , Issue.4 , pp. 223-229
    • Pham, B.1
  • 31
    • 0024749740 scopus 로고
    • Improved test for closed loops in surface intersections
    • Sederberg T.W., Christiansen H.N., and Katz S. Improved test for closed loops in surface intersections. Computer-Aided Design 21 8 (1989) 505-508
    • (1989) Computer-Aided Design , vol.21 , Issue.8 , pp. 505-508
    • Sederberg, T.W.1    Christiansen, H.N.2    Katz, S.3
  • 33
    • 0027684098 scopus 로고
    • Computation of the solutions of nonlinear polynomial systems
    • Sherbrooke E.C., and Patrikalakis N.M. Computation of the solutions of nonlinear polynomial systems. Computer Aided Geometric Design 10 5 (1993) 379-405
    • (1993) Computer Aided Geometric Design , vol.10 , Issue.5 , pp. 379-405
    • Sherbrooke, E.C.1    Patrikalakis, N.M.2
  • 35
    • 4544292584 scopus 로고    scopus 로고
    • Global curvature analysis and segmentation of volumetric data sets using trivariate B-spline functions
    • Soldea O., Elber G., and Rivlin E. Global curvature analysis and segmentation of volumetric data sets using trivariate B-spline functions. Geometric modeling and processing (2004) 217-226
    • (2004) Geometric modeling and processing , pp. 217-226
    • Soldea, O.1    Elber, G.2    Rivlin, E.3
  • 39
    • 0033189868 scopus 로고    scopus 로고
    • Differential geometry of intersection curves of two surfaces
    • Ye X., and Maekawa T. Differential geometry of intersection curves of two surfaces. Computer Aided Geometric Design 16 8 (1999) 767-788
    • (1999) Computer Aided Geometric Design , vol.16 , Issue.8 , pp. 767-788
    • Ye, X.1    Maekawa, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.