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The Curvature of Characteristic Curves on Surfaces
November-December 1997 (vol. 17 no. 6)
pp. 88-96
ASCII Text
x 
 
Holger Theisel, Gerald Farin, "The Curvature of Characteristic Curves on Surfaces," IEEE Computer Graphics and Applications, vol. 17, no. 6, pp. 88-96, November-December, 1997.
 
 
BibTex
x
 
@article{ 10.1109/38.626974,
author = {Holger Theisel and Gerald Farin},
title = {The Curvature of Characteristic Curves on Surfaces},
journal ={IEEE Computer Graphics and Applications},
volume = {17},
number = {6},
issn = {0272-1716},
year = {1997},
pages = {88-96},
doi = {http://doi.ieeecomputersociety.org/10.1109/38.626974},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - MGZN
JO - IEEE Computer Graphics and Applications
TI - The Curvature of Characteristic Curves on Surfaces
IS - 6
SN - 0272-1716
SP88
EP96
EPD - 88-96
A1 - Holger Theisel,
A1 - Gerald Farin,
PY - 1997
VL - 17
JA - IEEE Computer Graphics and Applications
ER -
 
This article shows 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. For particular surface curves the authors introduce their "thickness" as another characteristic property. Although it is not possible to describe these curves in an explicit parametric form, the authors find closed formulas for their curvatures and "thickness." They also discuss how to use curvature and "thickness" of the characteristic surface curves as surface interrogation tools.

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Citation:
Holger Theisel, Gerald Farin, "The Curvature of Characteristic Curves on Surfaces," IEEE Computer Graphics and Applications, vol. 17, no. 6, pp. 88-96, Nov.-Dec. 1997, doi:10.1109/38.626974
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