Geodesic
Interpolation properties of planar spiral curves
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 441-463.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FPM_2001_7_2_a8,
     author = {A. I. Kurnosenko},
     title = {Interpolation properties of planar spiral curves},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {441--463},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a8/}
}
TY  - JOUR
AU  - A. I. Kurnosenko
TI  - Interpolation properties of planar spiral curves
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2001
SP  - 441
EP  - 463
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a8/
LA  - ru
ID  - FPM_2001_7_2_a8
ER  - 
%0 Journal Article
%A A. I. Kurnosenko
%T Interpolation properties of planar spiral curves
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 441-463
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a8/
%G ru
%F FPM_2001_7_2_a8
A. I. Kurnosenko. Interpolation properties of planar spiral curves. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 441-463. http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a8/