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Volumn 79, Issue 2-4, 2007, Pages 175-183

Surfaces parametrized by the normals

Author keywords

Gauss map; Support function; Surface fitting

Indexed keywords

GAUSS MAPS; PRINCIPAL CURVATURES; SUPPORT FUNCTIONS; SURFACE FITTING;

EID: 34147099639     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-006-0196-9     Document Type: Article
Times cited : (13)

References (15)
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  • 3
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    • Bonnesen, T., Fenchel, W.: Theory of convex bodies. Transl, from the German and ed. by L. Boron, C. Christenson and B. Smith, with the collab. of W. Fenchel. BCS Associates, Moscow, Idaho, 1987.
    • Bonnesen, T., Fenchel, W.: Theory of convex bodies. Transl, from the German and ed. by L. Boron, C. Christenson and B. Smith, with the collab. of W. Fenchel. BCS Associates, Moscow, Idaho, 1987.
  • 4
    • 0001825289 scopus 로고
    • Mengenfunktionen und konvexe Körper. Danske Vid
    • Fenchel, W., Jessen, B.: Mengenfunktionen und konvexe Körper. Danske Vid. Selsk. Math.-Fys. Medd. 16(3), 1-31 (1938).
    • (1938) Selsk. Math.-Fys. Medd , vol.16 , Issue.3 , pp. 1-31
    • Fenchel, W.1    Jessen, B.2
  • 5
    • 0040229508 scopus 로고
    • Geometric characterization of differentiable manifolds in Euclidean space II
    • Gluck, H.: Geometric characterization of differentiable manifolds in Euclidean space II. Michigan Math. J. 15, 33-50 (1968).
    • (1968) Michigan Math. J , vol.15 , pp. 33-50
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  • 6
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    • The geometry of the scroll compressor
    • Gravesen, J., Henriksen, C.: The geometry of the scroll compressor. SIAM Review 43, 113-126 (2001).
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    • Gravesen, J.1    Henriksen, C.2
  • 7
    • 34147107466 scopus 로고    scopus 로고
    • 2 hermite interpolation. In: Seattle Geometric Design Proc. (Lucian M., Neamtu M., eds.). Brentwood: Nashboro Press 2004, pp. 295-310.
    • 2 hermite interpolation. In: Seattle Geometric Design Proc. (Lucian M., Neamtu M., eds.). Brentwood: Nashboro Press 2004, pp. 295-310.
  • 8
    • 0007236296 scopus 로고    scopus 로고
    • Triangular Bézier surface patches with a linear normal vector field
    • Cripps, R, ed, Information Geometers
    • Jüttler, B.: Triangular Bézier surface patches with a linear normal vector field. In: The Mathematics of Surfaces VIII (Cripps, R., ed.). Information Geometers 1998, pp. 431-446.
    • (1998) The Mathematics of Surfaces VIII , pp. 431-446
    • Jüttler, B.1
  • 9
    • 0034172529 scopus 로고    scopus 로고
    • Hermite interpolation by piecewise polynomial surfaces with rational offsets
    • Jüttler, B., Sampoli, M. L.: Hermite interpolation by piecewise polynomial surfaces with rational offsets. Comput. Aided Geom. Design 17, 361-385 (2000).
    • (2000) Comput. Aided Geom. Design , vol.17 , pp. 361-385
    • Jüttler, B.1    Sampoli, M.L.2
  • 10
    • 0001480062 scopus 로고
    • On differential geometry in the large. I. Minkowski's problem
    • Lewy, H.: On differential geometry in the large. I. Minkowski's problem. Trans. Amer. Math. Soc. 43, 258-270 (1938).
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  • 11
    • 0032027896 scopus 로고    scopus 로고
    • A Laguerre geometric approach to rational offsets
    • Peternell, M., Pottmann, H.: A Laguerre geometric approach to rational offsets. Comput. Aided Geom. Design 15, 223-249 (1998).
    • (1998) Comput. Aided Geom. Design , vol.15 , pp. 223-249
    • Peternell, M.1    Pottmann, H.2
  • 12
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    • Rational curves and surfaces with rational offsets
    • Pottmann, H.: Rational curves and surfaces with rational offsets. Comput. Aided Geometric Design 12, 175-192 (1995).
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    • Pottmann, H.1
  • 14
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    • Sabin, M.: A class of surfaces closed under five important geometric operations. VTO/MS report 207, 1974. http://www.damtp.cam.ac.uk/user/na/people/ Malcolm/vtoms/vtoms207.ps.gz
    • Sabin, M.: A class of surfaces closed under five important geometric operations. VTO/MS report 207, 1974. http://www.damtp.cam.ac.uk/user/na/people/ Malcolm/vtoms/vtoms207.ps.gz
  • 15
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    • Rational surfaces with linear normals and their convolutions with rational surfaces
    • Sampoli, M. L., Peternell, M., Jüttler, B.: Rational surfaces with linear normals and their convolutions with rational surfaces. Comput. Aided Geom. Design 23, 179-192 (2006).
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    • Sampoli, M.L.1    Peternell, M.2    Jüttler, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.