The difference in length of curves in R^n
Fasy BT. 2011. The difference in length of curves in R^n. Acta Scientiarum Mathematicarum. 77(1–2), 359–367.
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Journal Article
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| English
Author
Corresponding author has ISTA affiliation
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Abstract
We bound the difference in length of two curves in terms of their total curvatures and the Fréchet distance. The bound is independent of the dimension of the ambient Euclidean space, it improves upon a bound by Cohen-Steiner and Edelsbrunner, and it generalizes a result by Fáry and Chakerian.
Publishing Year
Date Published
2011-01-01
Journal Title
Acta Scientiarum Mathematicarum
Publisher
Springer Nature
Acknowledgement
Funded by Graduate Aid in Areas of National Need (GAANN) Fellowship.
Volume
77
Issue
1-2
Page
359 - 367
ISSN
eISSN
IST-REx-ID
Cite this
Fasy BT. The difference in length of curves in R^n. Acta Scientiarum Mathematicarum. 2011;77(1-2):359-367.
Fasy, B. T. (2011). The difference in length of curves in R^n. Acta Scientiarum Mathematicarum. Springer Nature.
Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” Acta Scientiarum Mathematicarum. Springer Nature, 2011.
B. T. Fasy, “The difference in length of curves in R^n,” Acta Scientiarum Mathematicarum, vol. 77, no. 1–2. Springer Nature, pp. 359–367, 2011.
Fasy BT. 2011. The difference in length of curves in R^n. Acta Scientiarum Mathematicarum. 77(1–2), 359–367.
Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” Acta Scientiarum Mathematicarum, vol. 77, no. 1–2, Springer Nature, 2011, pp. 359–67.
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