Caustic of a three-dimensional ellipsoid surface

被引：0
|
作者：
Joets, A [1 ]
Ribotta, R [1 ]
机构：
[1] Univ Paris 11, Phys Solides Lab, F-91405 Orsay, France
来源：
EXPERIMENTAL MATHEMATICS | 1999年 / 8卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The 3D ellipsoid is used as a model for a system generating a global configuration of interconnected singularities in R-4. The caustic obtained as the envelope of the normals to the ellipsoid is analyzed and calculated. In particular, we show that it has four closed curves bf hyperbolic umbilics. Our results suggest some properties of the caustic of the ellipsoid in R-n.
引用
收藏
页码：49 / 55
页数：7
相关论文
共 50 条
  • [41] Three-dimensional Laser Surface Scanning in Rhinosurgery
    Largo, Rene D.
    Wettstein, Reto
    Fulco, Ilario
    Tremp, Mathias
    Schaefer, Dirk J.
    Gubisch, Wolfgang
    Haug, Martin D.
    FACIAL PLASTIC SURGERY, 2013, 29 (02) : 116 - 120
  • [42] A three-dimensional approach to the porous surface of screens
    Alvarez, A. J.
    Oliva, R. M.
    Jimenez-Vargas, A.
    Villegas-Vallecillos, M.
    JOURNAL OF THE TEXTILE INSTITUTE, 2019, 110 (05) : 639 - 646
  • [43] Three-dimensional surface reconstruction of diatomaceous frustules
    Chen, X.
    Ostadi, H.
    Jiang, K.
    ANALYTICAL BIOCHEMISTRY, 2010, 403 (1-2) : 63 - 66
  • [44] Assessment of the Three-Dimensional Surface Roughness Parameters
    Liu Bo
    Yu Haiyin
    Ye Fan
    Guo Jianying
    MECHANICAL ENGINEERING, MATERIALS SCIENCE AND CIVIL ENGINEERING, 2013, 274 : 174 - 178
  • [45] A New Mosaic Method for Three-dimensional Surface
    Yuan Yun
    Zhu Zhaokun
    Ding Yongjun
    INTERNATIONAL SYMPOSIUM ON PHOTOELECTRONIC DETECTION AND IMAGING 2011: ADVANCES IN IMAGING DETECTORS AND APPLICATIONS, 2011, 8194
  • [46] Three-dimensional surface modelling for mines and quarries
    Norton, James
    Quarry Management, 1991, 18 (09): : 37 - 38
  • [47] Formation of bottom by three-dimensional surface waves
    Melnikova, ON
    Stepanova, EV
    IZVESTIYA AKADEMII NAUK SERIYA FIZICHESKAYA, 2002, 66 (12): : 1716 - 1720
  • [48] A development of three-dimensional surface measurement on cylinder
    Sasajima, K
    Tsukada, T
    INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, 1998, 38 (5-6): : 445 - 450
  • [49] Three-dimensional immobilization of β-galactosidase on a silicon surface
    Betancor, Lorena
    Luckarift, Heather R.
    Seo, Jae H.
    Brand, Oliver
    Spain, Jim C.
    BIOTECHNOLOGY AND BIOENGINEERING, 2008, 99 (02) : 261 - 267
  • [50] Three-dimensional waves on the surface of a viscous fluid
    A. A. Abrashkin
    Fluid Dynamics, 2008, 43 : 915 - 922
12345