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Volumn 14, Issue 5, 2004, Pages 361-379

Residue and implicitization problem for rational surfaces

Author keywords

Bezoutian matrix; Implicitization; Multivariable residue calculus

Indexed keywords

ALGORITHMS; COMPUTER SOFTWARE; DIFFERENTIATION (CALCULUS); MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING; ROOT LOCI; THEOREM PROVING;

EID: 1342291079     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00200-003-0139-z     Document Type: Article
Times cited : (15)

References (23)
  • 1
    • 0010204276 scopus 로고
    • An implicitization algorithm with fewer variables
    • Alonso, C., Gutierrez, J., Recio, T.: An implicitization algorithm with fewer variables. Comput. Aided Geom. Des. 12(3), 251-258 (1995)
    • (1995) Comput. Aided Geom. Des. , vol.12 , Issue.3 , pp. 251-258
    • Alonso, C.1    Gutierrez, J.2    Recio, T.3
  • 2
    • 0000716145 scopus 로고    scopus 로고
    • An implicitization algorithm for rational surfaces with no base points
    • Aries, F., Senoussi, R.: An Implicitization Algorithm for Rational Surfaces with no Base Points. J. Symb. Comput. 31, 357-365 (2001)
    • (2001) J. Symb. Comput. , vol.31 , pp. 357-365
    • Aries, F.1    Senoussi, R.2
  • 4
    • 0040942651 scopus 로고    scopus 로고
    • Residue calculus and effective nullstellensatz
    • Berenstein, C.A., Yger, A.: Residue calculus and effective nullstellensatz. Amer. J. Math. 121, 723-796 (1999)
    • (1999) Amer. J. Math. , vol.121 , pp. 723-796
    • Berenstein, C.A.1    Yger, A.2
  • 5
    • 85034654309 scopus 로고
    • Applications of Groebner bases in nonlinear computational geometry
    • Buchberger, B.: Applications of Groebner bases in nonlinear computational geometry. In: Trends in computer algebra, Lect. Notes Comput. Sci. Volume 296, 1988, pp. 52-80
    • (1988) Trends in Computer Algebra, Lect. Notes Comput. Sci. , vol.296 , pp. 52-80
    • Buchberger, B.1
  • 8
    • 0003057909 scopus 로고    scopus 로고
    • Resultant over the residual of a complete intersection
    • Busé, L., Elkadi, M., Mourrain, B.: Resultant over the residual of a complete intersection. J. Pure and Appl. Alg. 164, 35-57 (2001)
    • (2001) J. Pure and Appl. Alg. , vol.164 , pp. 35-57
    • Busé, L.1    Elkadi, M.2    Mourrain, B.3
  • 9
    • 1342303894 scopus 로고    scopus 로고
    • On the closed image of a rational map and the implicitization problem
    • Busé, L., Jouanolou, J.P.: On the closed image of a rational map and the implicitization problem. To Appear in Journal of Algebra, ():, 2003
    • (2003) Journal of Algebra
    • Busé, L.1    Jouanolou, J.P.2
  • 10
    • 84983660640 scopus 로고
    • Implicit representation of rational parametric surfaces
    • Canny, J.F., Manocha, D.: Implicit representation of rational parametric surfaces. J. Symb. Comput. 13(5), 485-510 (1992)
    • (1992) J. Symb. Comput. , vol.13 , Issue.5 , pp. 485-510
    • Canny, J.F.1    Manocha, D.2
  • 12
    • 0006100972 scopus 로고    scopus 로고
    • On the validity of implicitization by moving quadrics for rational surfaces with no base points
    • Cox, D., Goldman, R., Zhang, M.: On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points. J. Symb. Comput. 29(3), 419-440 (2000)
    • (2000) J. Symb. Comput. , vol.29 , Issue.3 , pp. 419-440
    • Cox, D.1    Goldman, R.2    Zhang, M.3
  • 13
    • 0006065852 scopus 로고    scopus 로고
    • Resultants and moving surfaces
    • D'Andrea, C.: Resultants and Moving Surfaces. J. Symb. Comput. 31(5), 585-602 (2001)
    • (2001) J. Symb. Comput. , vol.31 , Issue.5 , pp. 585-602
    • D'Andrea, C.1
  • 14
    • 1342346319 scopus 로고    scopus 로고
    • Approximate implicitization
    • Vanderbilt University Press
    • Dokken, T.: Approximate Implicitization. In: Mathematical Methods in CAGD 2000. Vanderbilt University Press, 2001
    • (2001) Mathematical Methods in CAGD 2000
    • Dokken, T.1
  • 15
    • 57449099835 scopus 로고    scopus 로고
    • Introduction à la résolution des systèmes polynomiaux
    • To appear
    • Elkadi, M., Mourrain, B.: Introduction à la résolution des systèmes polynomiaux. To appear, 2003
    • (2003)
    • Elkadi, M.1    Mourrain, B.2
  • 16
    • 0031068971 scopus 로고    scopus 로고
    • Implicitization of parametric curves and surfaces by using multidimensional Newton formulae
    • Gonzalez-Vega, L.: Implicitization of parametric curves and surfaces by using multidimensional Newton formulae. J. Symb. Comput. 23(2-3), 137-151 (1997)
    • (1997) J. Symb. Comput. , vol.23 , Issue.2-3 , pp. 137-151
    • Gonzalez-Vega, L.1
  • 21
    • 84941482872 scopus 로고
    • Über Spurfunktionen bei vollständigen Durschnitten
    • Scheja, G., Storch, U.: Über Spurfunktionen bei vollständigen Durschnitten. J. Reine Angew Mathematik 278, 174-190 (1975)
    • (1975) J. Reine Angew Mathematik , vol.278 , pp. 174-190
    • Scheja, G.1    Storch, U.2
  • 23
    • 0029202235 scopus 로고
    • Implicitzing using moving curves and surfaces
    • Sederberg, T.W., Chen, F.: Implicitzing using moving curves and surfaces. In: Proceedings of SIGGRAPH, 1995, pp. 301-308
    • (1995) Proceedings of SIGGRAPH , pp. 301-308
    • Sederberg, T.W.1    Chen, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.