Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.
Słowa kluczowe
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
1982-1993
Opis fizyczny
Daty
wydano
2013-11-01
online
2013-08-23
Twórcy
autor
- Texas Tech University
autor
- Texas Tech University
autor
- Texas Tech University
Bibliografia
- [1] Bobenko A.I., Exploring surfaces through methods from the theory of integrable systems: the Bonnet problem, In: Surveys on Geometry and Integrable Systems, Adv. Stud. Pure Math., 51, Math. Soc. Japan, Tokyo, 2008, 1–53
- [2] do Carmo M.P., Differential Forms and Applications, Universitext, Springer, Berlin, 1994 http://dx.doi.org/10.1007/978-3-642-57951-6
- [3] Chen W., Li H., Bonnet surfaces and isothermic surfaces, Results Math., 1997, 31(1–2), 40–52 http://dx.doi.org/10.1007/BF03322150
- [4] Ivey T.A., Landsberg J.M., Cartan for Beginners, Grad. Stud. Math., 61, American Mathematical Society, Providence, 2003
- [5] Kose Z., Toda M., Aulisa E., Solving Bonnet problems to construct families of surfaces, Balkan J. Geom. Appl., 2011, 16(2), 70–80
- [6] Lee J.M., Manifolds and Differential Geometry, Grad. Stud. Math., 107, American Mathematical Society, Providence, 2009
- [7] Pressley A., Elementary Differential Geometry, 2nd ed., Springer Undergrad. Math. Ser., Springer, London, 2010 http://dx.doi.org/10.1007/978-1-84882-891-9
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-013-0289-6