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Numerical estimation of the curvature of surfaces

โœ Scribed by P.H. Todd; R.J.Y. McLeod

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
517 KB
Volume
18
Category
Article
ISSN
0010-4485

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โœฆ Synopsis

Meusnier's and Euler's theorems relating to surface curvature are given as is a brief discussion on the Dupin indicatrix. The connection between Gaussian curvature and growth ratio is outlined. A method for approximating the Dupin indicatrix from surface-point data is given and, by way of comparison, a method of obtaining surface curvature information from a local quadric interpolant. Numerical examples are given and discussed numer/cat methods, geometryj surface curvature

๐Ÿ“œ SIMILAR VOLUMES

Estimation of the principle curvatures o
Estimation of the principle curvatures of approximated surfaces
โœ Christian Wollmann ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

This paper presents a method for estimating curvature values of a surface, which is given only approximatively, e.g., by measured data. The presented method requires estimates of the curvature of curves. These lead, along with the theorems from Euler and Meusnier, to the values of surface curvature.