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Volumn 0, Issue , 2006, Pages 71-85

Implicitization and distance bounds

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE;

EID: 33846655339     PISSN: 16123786     EISSN: 2197666X     Source Type: Book Series    
DOI: 10.1007/978-3-540-33275-6_5     Document Type: Conference Paper
Times cited : (4)

References (21)
  • 1
    • 4544256922 scopus 로고    scopus 로고
    • Analyzing and enhancing the robustness of implicit representations
    • IEEE Press
    • M. Aigner, B. Jüttler, and M.-S. Kim. Analyzing and enhancing the robustness of implicit representations. In Geometric modeling and Processing, pages 131– 142. IEEE Press, 2004.
    • (2004) Geometric Modeling and Processing , pp. 131-142
    • Aigner, M.1    Jüttler, B.2    Kim, M.-S.3
  • 2
    • 0010204276 scopus 로고
    • An implicitization algorithm with fewer variables
    • C. Alonso, J. Gutierrez, and T. Recio. An implicitization algorithm with fewer variables. Comp. Aided Geom. Design, 12:251–258, 1995.
    • (1995) Comp. Aided Geom. Design , vol.12 , pp. 251-258
    • Alonso, C.1    Gutierrez, J.2    Recio, T.3
  • 3
    • 85034654309 scopus 로고
    • Applications of Gröbner bases in nonlinear computational geometry
    • Springer, Berlin
    • B. Buchberger. Applications of Gröbner bases in nonlinear computational geometry. In Trends in computer algebra, pages 52–80. Springer, Berlin, 1988.
    • (1988) Trends in Computer Algebra , pp. 52-80
    • Buchberger, B.1
  • 4
    • 0034772043 scopus 로고    scopus 로고
    • Residual resultant over the projective plane and the implicitization problem
    • New York, ACM
    • L. Busé. Residual resultant over the projective plane and the implicitization problem. In Proc. ISSAC, pages 48–55, New York, 2001. ACM.
    • (2001) Proc. ISSAC , pp. 48-55
    • Busé, L.1
  • 5
    • 27744579200 scopus 로고    scopus 로고
    • Approximate implicitization of rational surfaces
    • Amer. Math. Soc., Providence, RI
    • F. Chen. Approximate implicitization of rational surfaces. In Computational geometry (Beijing, 1998), volume 34, pages 57–65. Amer. Math. Soc., Providence, RI, 2003.
    • (2003) Computational Geometry (Beijing, 1998) , vol.34 , pp. 57-65
    • Chen, F.1
  • 6
    • 1842453914 scopus 로고    scopus 로고
    • Interval implicitization of rational curves
    • F. Chen and L. Deng. Interval implicitization of rational curves. Comput. Aided Geom. Design, 21:401–415, 2004.
    • (2004) Comput. Aided Geom. Design , vol.21 , pp. 401-415
    • Chen, F.1    Deng, L.2
  • 7
    • 84974686158 scopus 로고    scopus 로고
    • Numerical implicitization of parametric hypersurfaces with linear algebra
    • Springer, Berlin
    • R.M. Corless, M.W. Giesbrecht, I.S. Kotsireas, and S.M. Watt. Numerical implicitization of parametric hypersurfaces with linear algebra. In AISC 2000, LNCS, pages 174–183. Springer, Berlin, 2001.
    • (2001) AISC 2000, LNCS , pp. 174-183
    • Corless, R.M.1    Giesbrecht, M.W.2    Kotsireas, I.S.3    Watt, S.M.4
  • 8
    • 1342346319 scopus 로고    scopus 로고
    • Approximate implicitization
    • Vanderbilt Univ. Press, Nashville, TN
    • T. Dokken. Approximate implicitization. In Mathematical methods for curves and surfaces, pages 81–102. Vanderbilt Univ. Press, Nashville, TN, 2001.
    • (2001) Mathematical Methods for Curves and Surfaces , pp. 81-102
    • Dokken, T.1
  • 9
    • 27744456587 scopus 로고    scopus 로고
    • Overview of approximate implicitization
    • Amer. Math. Soc., Providence, RI
    • T. Dokken and J. Thomassen. Overview of approximate implicitization. In Topics in algebraic geometry and geometric modeling, volume 334, pages 169–184. Amer. Math. Soc., Providence, RI, 2003.
    • (2003) Topics in Algebraic Geometry and Geometric Modeling , vol.334 , pp. 169-184
    • Dokken, T.1    Thomassen, J.2
  • 10
    • 1342291079 scopus 로고    scopus 로고
    • Residue and implicitization problem for rational surfaces
    • M. Elkadi and B. Mourrain. Residue and implicitization problem for rational surfaces. Appl. Algebra Engrg. Comm. Comp., 14:361–379, 2004.
    • (2004) Appl. Algebra Engrg. Comm. Comp. , vol.14 , pp. 361-379
    • Elkadi, M.1    Mourrain, B.2
  • 12
    • 0026102939 scopus 로고
    • On the stability of transformations between power and Bernstein polynomial forms
    • R.T. Farouki. On the stability of transformations between power and Bernstein polynomial forms. Comp. Aided Geom. Design, 8:29–36, 1991.
    • (1991) Comp. Aided Geom. Design , vol.8 , pp. 29-36
    • Farouki, R.T.1
  • 13
    • 0031068971 scopus 로고    scopus 로고
    • Implicitization of parametric curves and surfaces by using multidimensional Newton formulae
    • L. Gonzalez-Vega. Implicitization of parametric curves and surfaces by using multidimensional Newton formulae. J. Symb. Comp., 23:137–151, 1997.
    • (1997) J. Symb. Comp. , vol.23 , pp. 137-151
    • Gonzalez-Vega, L.1
  • 15
    • 0036565745 scopus 로고    scopus 로고
    • Implicitization of rational surfaces by means of polynomial interpolation
    • A. Marco and J.J. Martínez. Implicitization of rational surfaces by means of polynomial interpolation. Comput. Aided Geom. Design, 19:327–344, 2002.
    • (2002) Comput. Aided Geom. Design , vol.19 , pp. 327-344
    • Marco, A.1    Martínez, J.J.2
  • 18
    • 38849123155 scopus 로고    scopus 로고
    • Piecewise approximate implicitization: Experiments using industrial data
    • Springer
    • M. Shalaby et al. Piecewise approximate implicitization: Experiments using industrial data. In Algebraic Geometry and Geometric Modeling (this volume). Springer, 2006, 37–51.
    • (2006) Algebraic Geometry and Geometric Modeling (This Volume) , pp. 37-51
    • Shalaby, M.1
  • 20
    • 33746868009 scopus 로고    scopus 로고
    • Modified affine arithmetic is more accurate than centred interval arithmetic or affine arithmetic
    • of LNCS, Springer, Heidelberg
    • H. Shou, H. Lin, R.R. Martin, and G. Wang. Modified affine arithmetic is more accurate than centred interval arithmetic or affine arithmetic. In The Mathematics of Surfaces X, volume 2768 of LNCS, pages 355–365. Springer, Heidelberg, 2003.
    • (2003) The Mathematics of Surfaces X , vol.2768 , pp. 355-365
    • Shou, H.1    Lin, H.2    Martin, R.R.3    Wang, G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.