Differential geometry of intersection curve of two surfaces
نویسندگان
چکیده
منابع مشابه
Homeomorphic approximation of the intersection curve of two rational surfaces
We present an approach of computing the intersection curve C of two rational parametric surface S1(u, s) and S2(v, t), one being projectable and hence can easily be implicitized. Plugging the parametric surface to the implicit surface yields a plane algebraic curve G(v, t) = 0. By analyzing the topology graph G of G(v, t) = 0 and the singular points on the intersection curve C we associate a sp...
متن کاملClassifying the Nonsingular Intersection Curve of Two Quadric Surfaces
We present new results on classifying the morphology of the nonsingular intersection curve of two quadrics by studying the roots of the characteristic equation, or the discriminant, of the pencil spanned by the two quadrics. The morphology of a nonsingular algebraic curve means the structural (or topological) information about the curve, such as the number of disjoint connected components of th...
متن کاملNumerical Treatment of Geodesic Differential Equations on Two Dimensional Surfaces
This paper presents a brief instructions to nd geodesics equa-tions on two dimensional surfaces in R3. The resulting geodesic equations are solved numerically using Computer Program Matlab, the geodesics are dis-played through Figures.
متن کاملThe Intersection of Partial Differential Equations and Differential Geometry
References The Intersection of Partial Differential Equations and Differential Geometry Jake Chambers With Support of Professor Knoerr
متن کاملOn the Geodesic Torsion of a Tangential Intersection Curve of Two Surfaces in R
In this paper, we find the unit tangent vector and the geodesic torsion of the tangential intersection curve of two surfaces in all three types of surface-surface intersection problems (parametric-parametric, implicit-implicit and parametric-implicit) in three-dimensional Euclidean space.
متن کاملذخیره 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: Lietuvos matematikos rinkinys
سال: 2009
ISSN: 2335-898X,0132-2818
DOI: 10.15388/lmr.2009.08