I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 2, PAGES 441-463
A. I. Kurnosenko
View as HTML View as gif image View as LaTeX source
Some inequalities on the planar curves termed spirals (due to monotonous curvature function) are considered. For a spiral represented as a set of interpolation nodes, a region covering the parent curve is constructed. The width of the region provides an estimate of curve definiteness by the given discrete representation, this estimate being independent of any interpolation method. A similar problem is set up for any smooth curve, assuming that vertices are distanced "sufficiently far away" from one another.
The problem originates from and can be applied to the practice of tolerance control in industry.
All articles are published in Russian.
|Main page||Contents of the journal||News||Search|
Last modified: October 31, 2001.