A computational method for determining curvatures
type: Item
instance of: scholarly article
title: A computational method for determining curvatures
zbMATH Open document ID: 0682.65006
DOI: 10.1016/0021-9991(89)90245-3
author: J. Y. Poo
author: N. Ashgriz
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: \textit{A. J. Chorin} [J. Comput. Phys. 57, 472-490 (1985; Zbl 0555.65085)] has proposed to approximate curvatures of a boundary curve of a domain from the areas covered by the domain in the squares of a sufficiently fine grid in the plane near a boundary point. The authors improve on Chorin's method using quadratic approximations that can be obtained uniquely from the data of a 3 by 3 grid.
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 53A04
zbMATH DE Number: 4117732
zbMATH Keywords: osculating-circle
zbMATH Keywords: curve fitting
zbMATH Keywords: curvatures
zbMATH Keywords: quadratic approximations
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90245-3
OpenAlex ID: W2033132403
cites work: Q3241804
cites work: Q3896709
cites work: Q3245994
cites work: Shape instabilities and pattern formation in solidification: A new method for numerical solution of the moving boundary problem
cites work: Curvature and solidification
description: scientific article; zbMATH DE number 4117732