تقرير
Parametric polynomial minimal surfaces of arbitrary degree
| العنوان: | Parametric polynomial minimal surfaces of arbitrary degree |
|---|---|
| المؤلفون: | Xu, Gang, Wang, Guozhao |
| المساهمون: | Geometry, algebra, algorithms (GALAAD), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS), Department of Mathematics Hangzhou, Zhejiang University |
| المصدر: | https://inria.hal.science/inria-00507790Test ; [Research Report] 2010. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2010 |
| المجموعة: | HAL Université Côte d'Azur |
| مصطلحات موضوعية: | parametric polynomial minimal surface Enneper surface conjugate minimal surface, [INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR], [INFO.INFO-IA]Computer Science [cs]/Computer Aided Engineering, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] |
| الوصف: | Weierstrass representation is a classical parameterization of minimal surfaces. However, two functions should be specified to construct the parametric form in Weierestrass representation. In this paper, we propose an explicit parametric form for a class of parametric polynomial minimal surfaces of arbitrary degree. It includes the classical Enneper surface for cubic case. The proposed minimal surfaces also have some interesting properties such as symmetry, containing straight lines and self-intersections. According to the shape properties, the proposed minimal surface can be classified into four categories with respect to $n=4k-1$ $n=4k+1$, $n=4k$ and $n=4k+2$. The explicit parametric form of corresponding conjugate minimal surfaces is given and the isometric deformation is also implemented. |
| نوع الوثيقة: | report |
| اللغة: | English |
| العلاقة: | inria-00507790; https://inria.hal.science/inria-00507790Test; https://inria.hal.science/inria-00507790/documentTest; https://inria.hal.science/inria-00507790/file/generalminimalsurface.pdfTest |
| الإتاحة: | https://inria.hal.science/inria-00507790Test https://inria.hal.science/inria-00507790/documentTest https://inria.hal.science/inria-00507790/file/generalminimalsurface.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.F75D9FA7 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |