Abstract
In this paper, we study the intersection problem of two surfaces in which at least one surface is given by its implicit equation in Euclidean n-space. We first obtain the curvatures of the transversal intersection curve of two implicit surfaces. Later, the intersection problem is studied for a parametric surface and an implicit surface in n-dimensional Euclidean space. Finally, we present examples as applications of the given methods.
Keywords
Intersection (aeronautics)
Surface (topology)
Mathematics
Euclidean space
Space (punctuation)
Euclidean geometry
Parametric surface
Parametric statistics
Parametric equation
Mathematical analysis
Geometry
Computer science
Statistics
Subject Areas
Advanced Numerical Analysis Techniques
·Computational Mechanics ·Physical Sciences
3D Shape Modeling and Analysis
·Computational Mechanics ·Physical Sciences
Computer Graphics and Visualization Techniques
·Computer Graphics and Computer-Aided Design ·Physical Sciences
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