Applications of power series in computational geometry
Computer-Aided Design
Computer Aided Geometric Design
Differential equations and dynamical systems
Differential equations and dynamical systems
Differential geometry of intersection curves of two surfaces
Computer Aided Geometric Design
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Differential geometry of intersection curves in R 4 of three implicit surfaces
Computer Aided Geometric Design
On the intersection curve of three parametric hypersurfaces
Computer Aided Geometric Design
Intersection curves of hypersurfaces in R4
Computer Aided Geometric Design
| Hi-index | 7.29 |
We propose a new approach for the study of intersection curves c"I in R^4 to obtain a general method for determining the Frenet frame {t,n,b"1,b"2} and curvatures @k"1,@k"2,@k"3 of c"I. Our method is based on the theory of differential equations, which distinguishes it from the classical methods used in previous works [4-6] that were based mainly on differential geometry. Moreover, our method is suitable for any form of hypersurface that defines the intersection curves in R^4.