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Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open
Preprint
A Geometric Construction for the Evaluation of Mean Curvature
07 Aug 2011
Abstract
We give a relationship that yields an effective geometric way of evaluating
mean curvature of surfaces. The approach is reminiscent of the Gauss's contour
based evaluation of intrinsic curvature. The presented formula may have a
number of potential applications including estimating the normal vector and
mean curvature on triangulated surfaces. Given how brief is its derivation, it
is truly surprising that this formula does not appear in the existing
literature on differential geometry -- at least according to the author's
search. We hope to learn about a reference containing this result.
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Details
- Title
- A Geometric Construction for the Evaluation of Mean Curvature
- Creators
- Pavel Grinfeld
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991019312322604721