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Volumn 7, Issue 6, 1997, Pages 599-619

Rational quadratic parameterizations of quadrics

Author keywords

Computer aided geometric design; Intersection of quadrics; Quadric; Rational quadratic parameterization; Reparameterization

Indexed keywords


EID: 0031313757     PISSN: 02181959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218195997000375     Document Type: Article
Times cited : (9)

References (21)
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    • (1987) Computer-Aided Design , vol.19 , pp. 11-14
    • Abhyankar, S.S.1    Bajaj, G.2
  • 2
    • 0023450938 scopus 로고
    • Automatic parameterization of rational curves and surfaces II: Cubics and cubicoids
    • S. S. Abhyankar and C. Bajaj, "Automatic parameterization of rational curves and surfaces II: cubics and cubicoids," Computer-Aided Design 19 (1987) 499-502.
    • (1987) Computer-Aided Design , vol.19 , pp. 499-502
    • Abhyankar, S.S.1    Bajaj, C.2
  • 3
    • 0002892975 scopus 로고
    • Bézier patches on quadrics
    • ed. G. Farin SIAM, Philadelphia
    • W. Boehm and D. Hansford,"Bézier patches on quadrics," in NURBS for Curve and Surface Design, ed. G. Farin (SIAM, Philadelphia, 1991) pp. 1-14.
    • (1991) NURBS for Curve and Surface Design , pp. 1-14
    • Boehm, W.1    Hansford, D.2
  • 6
    • 0002221408 scopus 로고
    • Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants
    • E. W. Chionh and R. N. Goldman,"Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants," Computer Aided Geometric Design 9 (1992) 93-108.
    • (1992) Computer Aided Geometric Design , vol.9 , pp. 93-108
    • Chionh, E.W.1    Goldman, R.N.2
  • 8
    • 0028484454 scopus 로고
    • Reparameterization of rational triangular Bézier surfaces
    • B. Joe and W. Wang,"Reparameterization of rational triangular Bézier surfaces," Computer Aided Geometric Design 11 (1994) 345-361.
    • (1994) Computer Aided Geometric Design , vol.11 , pp. 345-361
    • Joe, B.1    Wang, W.2
  • 9
    • 0000656676 scopus 로고
    • Pythagorean triples in unique factorization domains
    • K. Kubota,"Pythagorean triples in unique factorization domains," American Mathematical Monthly 79 (1972) 503-505.
    • (1972) American Mathematical Monthly , vol.79 , pp. 503-505
    • Kubota, K.1
  • 10
    • 0018518970 scopus 로고
    • Mathematical models for determining the intersections of quadric surfaces
    • J. Z. Levin,"Mathematical models for determining the intersections of quadric surfaces," Computer Graphics and Image Processing 11 (1979) 73-87.
    • (1979) Computer Graphics and Image Processing , vol.11 , pp. 73-87
    • Levin, J.Z.1
  • 11
    • 0025512150 scopus 로고
    • Bézier representation for quadric surface patches
    • S. Lodha and J. Warren,"Bézier representation for quadric surface patches," Computer-Aided Design 22 (1990) 3-19.
    • (1990) Computer-Aided Design , vol.22 , pp. 3-19
    • Lodha, S.1    Warren, J.2
  • 13
    • 0023438553 scopus 로고
    • Geometric approaches to nonplanar quadric surface intersection curves
    • J. R. Miller,"Geometric approaches to nonplanar quadric surface intersection curves," ACM Transactions on Graphics 6 (1987) 274-307.
    • (1987) ACM Transactions on Graphics , vol.6 , pp. 274-307
    • Miller, J.R.1
  • 15
    • 0024130917 scopus 로고
    • Parametrizing and graphing nonsingular cubic curves
    • R. R. Patterson,"Parametrizing and graphing nonsingular cubic curves," Computer-Aided Design 20 (1988) 615-623.
    • (1988) Computer-Aided Design , vol.20 , pp. 615-623
    • Patterson, R.R.1
  • 16
    • 0020126189 scopus 로고
    • Algebraic methods for intersections of quadric surfaces in GM-SOLID
    • R. F. Sarraga,"Algebraic methods for intersections of quadric surfaces in GM-SOLID," Computer Vision, Graphics, and Image Processing 22 (1983) 222-238.
    • (1983) Computer Vision, Graphics, and Image Processing , vol.22 , pp. 222-238
    • Sarraga, R.F.1
  • 21
    • 0027681802 scopus 로고
    • Quadric-surface intersection curves: Shape and structure
    • I. Wilf and Y. Manor, "Quadric-surface intersection curves: shape and structure," Computer-Aided Design 25 (1993) 633-643.
    • (1993) Computer-Aided Design , vol.25 , pp. 633-643
    • Wilf, I.1    Manor, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.