Proper Parametrization of Real Tubular Surfaces
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S. S. Abhyankar, C. Bajaj, 1986, Computer Science Department, Purdue University, West Lafayette, IN 47907
Alonso, 1995, Reconsidering algorithms for real parametric curves, Appl. Algebra Eng. Commun. Comput., 6, 345, 10.1007/BF01198014
Arrondo, 1997, Parametric generalized offsets to hypersurfaces, J. Symb. Comput., 23, 267, 10.1006/jsco.1996.0088
Bajaj, 1998, Rational parametrizations of nonsingular cubic surfaces, ACM Trans. Graph., 17, 1, 10.1145/269799.269800
Bochnak, 1987
G. Bodnar, J. Schicho, 1999, University of Linz, A-4040, Linz
Canny, 1992, Finding connected components in subexponential time, Appl. Algebra Eng. Commun. Comput., 2, 217, 10.1007/BF01614146
Comesatti, 1912, Fondamenti per la geometria sopra le superficie rationali del punto di vista reale, Math. Ann., 73, 1, 10.1007/BF01456659
Enriques, 1895, Sulle irrazionalita da cui puo farsi dipendere la risoluzione d’un equazione f(xyz) = 0 con funzioni razionali di due parametri, Math. Ann., 1
Hartshorne, 1977
Hillgarter, 1997, Points on algebraic curves and the parametrization problem, 185
Hong, 1998, Algorithms for trigonometric curves (simplification, implicitization, parameterization), J. Symb. Comput., 26, 279, 10.1006/jsco.1998.0212
Iskovskih, 1967, Rational surfaces with a pencil of rational curves, Math. USSR Sb., 3, 563, 10.1070/SM1967v003n04ABEH002769
Manin, 1967, Rational surfaces over perfect fields II, Math. USSR Sb., 1, 141, 10.1070/SM1967v001n02ABEH001972
Manin, 1974
Nöether, 1870, Über Flächen, welche Scharen rationaler Kurven besitzen, Math. Ann., 3, 161, 10.1007/BF01443982
M. Ojanguren, 1990, Pisa
OMeara, 1971
M. Peternell, 1997
Peternell, 1997, Computing rational parametrizations of canal surfaces, J. Symb. Comput., 23, 255, 10.1006/jsco.1996.0087
Recio, 1997, Real parametrizations of real curves, J. Symb. Comput., 23, 241, 10.1006/jsco.1996.0086
Schicho, 1998, Rational parameterization of real algebraic surfaces
Schicho, 1998, Rational parametrization of surfaces, J. Symb. Comput., 26, 1, 10.1006/jsco.1997.0199
Sendra, 1997, Parametrization of algebraic curves over optimal field extensions, J. Symb. Comput., 23, 191, 10.1006/jsco.1996.0083
Shafarevich, 1974
Silhol, 1980