Distributional radius of curvature
Document Type
Article
Publication Date
3-10-2006
Abstract
We show that any continuous plane path that turns to the left has a well-defined distribution that corresponds to the radius of curvature of smooth paths. We show that the distributional radius of curvature determines the path uniquely except for a translation. We show that Dirac delta contributions in the radius of curvature correspond to facets, that is, flat sections of the path, and show how a path can be deformed into a facet by letting the radius of curvature approach a delta function. Copyright © 2005 John Wiley & Sons, Ltd.
Publication Source (Journal or Book title)
Mathematical Methods in the Applied Sciences
First Page
427
Last Page
444
Recommended Citation
Estrada, R. (2006). Distributional radius of curvature. Mathematical Methods in the Applied Sciences, 29 (4), 427-444. https://doi.org/10.1002/mma.692
