On integrating lines of curvature

Computer Aided Geometric Design

Volumn 15, Issue 2, 1998, Pages 187-192

  Farouki, Rida T ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Lines of curvature; Parameter lines; Surface geometry; Umbilics; Vector field singularities

Indexed keywords

INTEGRATION; VECTORS;

LINES OF CURVATURE; PARAMETER LINES; SURFACE GEOMETRY; UMBILICS; VECTOR FIELD SINGULARITIES;

COMPUTATIONAL GEOMETRY;

EID: 0032002446     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(97)00022-8     Document Type: Article

References (6)

1. Beck, J.M., Farouki, R.T. and Hinds, J.K. (1986), Surface analysis methods, IEEE Comput. Graphics Applics. 6, 18-36.
2. Farouki, R.T. (1987), Graphical methods for surface differential geometry, in: Martin, R.R., ed., The Mathematics of Surfaces II, Oxford University Press, Oxford, 363-385.
3. Hubert, D. and Cohn-Vossen, H. (1952), Geometry and the Imagination (translated by P. Nemenyi), Chelsea, New York.
4. Kreyszig, E. (1959), Differential Geometry, Dover (reprint), New York.
5. Maekawa, T., Wolter, F.-E. and Patrikalakis, N.M. (1996), Umbilics and lines of curvature for shape interrogation, Computer Aided Geometric Design 13, 133-161.
6. Struik, D.J. (1961), Lectures on Classical Differential Geometry, Dover (reprint), New York.