Quadrics associated with a curve on a surface
نویسندگان
چکیده
منابع مشابه
Construction of a surface pencil with a common special surface curve
In this study, we introduce a new type of surface curves called $D$-type curve. This curve is defined by the property that the unit Darboux vector $vec{W}_{0} $ of a surface curve $vec{r}(s)$ and unit surface normal $vec{n} $ along the curve $vec{r}(s)$ satisfy the condition $leftlangle vec{n} ,vec{W}_{0} rightrangle =text{constant}$. We point out that a $D$-type curve is a geodesic curve or an...
متن کاملBifurcation in a variational problem on a surface with a constraint
We describe a variational problem on a surface under a constraintof geometrical character. Necessary and sufficient conditions for the existence ofbifurcation points are provided. In local coordinates the problem corresponds toa quasilinear elliptic boundary value problem. The problem can be consideredas a physical model for several applications referring to continuum medium andmembranes.
متن کاملRegistration of a Curve on a Surface Using Differential Properties
This article presents a new method to nd the best spatial registration between a rigid curve and a rigid surface. We show how to locally exploit the knowledge of diierential properties computed on both the curve and the surface to constrain the rigid matching problem. It is in fact possible to write a compatibility equation between a curve point and a surface point, which constrains completely ...
متن کاملSurface Reconstruction from Unorganized Point Data with Quadrics
We present a reverse engineering method for constructing a surface approximation scheme whose input is a set of unorganized noisy points in space and whose output is a set of quadric patches. The local surface properties, necessary for the subsequent segmentation, are estimated directly from the data using a simple and efficient data structure the neighborhood graph. Our segmentation scheme, ba...
متن کاملa study on rate making and required reserves determination in reinsurance market: a simulation
reinsurance is widely recognized as an important instrument in the capital management of an insurance company as well as its risk management tool. this thesis is intended to determine premium rates for different types of reinsurance policies. also, given the fact that the reinsurance coverage of every company depends upon its reserves, so different types of reserves and the method of their calc...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1945
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1945-08335-9