An algebraic approach to curves and surfaces on the sphere and on other quadrics
Tóm tắt
Từ khóa
Tài liệu tham khảo
Bereis, 1957, Schraubung und Netzprojektion, Elemente der Mathematik, 12, 33
Boehm, 1991, Bézier patches on quadrics, 1
Boehm, 1993, Some remarks on quadrics, Computer Aided Geometric Design, 10, 231, 10.1016/0167-8396(93)90038-5
Brauner, 1956, Über Mannigfaltigkeiten von Strahlen mit kongruenten Netzrissen, Archiv der Mathematik, 7, 406, 10.1007/BF01899018
Coxeter, 1961
Coxeter, 1964
Dickson, 1952, History of the Theory of Numbers, Vol. II
Dietz, 1993, Rational patches on quadric surfaces, Computer-Aided Design
Farin, 1987, The octant of a sphere as a nondegenerate triangular Bézier patch, Computer Aided Geometric Design, 4, 329, 10.1016/0167-8396(87)90007-0
Fink, 1992, Biquadratische Bézier-Flächenstücke auf Quadriken
Geise, 1990, Finite quadric segments with four conic boundary curves, Computer Aided Geometric Design, 7, 141, 10.1016/0167-8396(90)90026-N
Hoschek, 1992, Spherical splines, Mathematical Modelling and Numerical Anal., 26, 1, 10.1051/m2an/1992260100011
Hoschek, 1992, Bézier curves and surface patches on quadrics, 1
Kubota, 1972, Pythagorean triples in unique factorization domains, Amer. Math. Monthly, 79, 503, 10.2307/2317570
Morken, 1991, Some identities for products and degree raising of splines, Constr. Approx., 7, 195, 10.1007/BF01888153
Pedoe, 1970
Piegl, 1986, The sphere as a rational Bézier surface, Computer Aided Geometric Design, 3, 45, 10.1016/0167-8396(86)90023-3
Salmon, 1885, Lessons Introducing to the Modern Higher Algebra
Tuschel, 1911, Über die Schraubliniengeometrie und deren konstruktive Verwendung, Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften Wien, 120, 233
Vermeulen, 1992, Integrating products of B-splines, SIAM J. Sci. Statist. Comput., 13, 1025, 10.1137/0913060
Warren, 1990, A Bézier representation for quadric surface patches, Computer-Aided Design, 22, 574, 10.1016/0010-4485(90)90042-B