Title :
The curvature of characteristic curves on surfaces
Author :
Theisel, Holger ; Farin, Gerald
Author_Institution :
Dept. of Comput. Sci., Rostock Univ., Germany
Abstract :
Analyzing and interrogating designed surfaces remains an important and widely researched issue in computer-aided geometric design (CAGD). Treating families of characteristic curves on the surface proves a popular method of doing this. We show how to compute the curvature and geodesic curvature of characteristic curves on surfaces, such as contour lines, lines of curvature, asymptotic lines, isophotes, and reflection lines
Keywords :
CAD; computational geometry; curve fitting; data visualisation; surface fitting; CAGD; asymptotic lines; characteristic curves; computer-aided geometric design; contour lines; curvature; designed surfaces; geodesic curvature; isophotes; lines of curvature; reflection lines; surfaces; visualization; Equations; Geophysics computing; Reflection;
Journal_Title :
Computer Graphics and Applications, IEEE
