Journal for geometry and graphics, Tome 3 (1999) no. 1, pp. 001-016
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Z. Bancsik; I. Juhasz. On the Arc Length of Parametric Cubic Curves. Journal for geometry and graphics, Tome 3 (1999) no. 1, pp. 001-016. http://geodesic.mathdoc.fr/item/JGG_1999_3_1_a0/
@article{JGG_1999_3_1_a0,
author = {Z. Bancsik and I. Juhasz},
title = {On the {Arc} {Length} of {Parametric} {Cubic} {Curves}},
journal = {Journal for geometry and graphics},
pages = {001--016},
year = {1999},
volume = {3},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_1999_3_1_a0/}
}
TY - JOUR
AU - Z. Bancsik
AU - I. Juhasz
TI - On the Arc Length of Parametric Cubic Curves
JO - Journal for geometry and graphics
PY - 1999
SP - 001
EP - 016
VL - 3
IS - 1
UR - http://geodesic.mathdoc.fr/item/JGG_1999_3_1_a0/
ID - JGG_1999_3_1_a0
ER -
%0 Journal Article
%A Z. Bancsik
%A I. Juhasz
%T On the Arc Length of Parametric Cubic Curves
%J Journal for geometry and graphics
%D 1999
%P 001-016
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/JGG_1999_3_1_a0/
%F JGG_1999_3_1_a0
We are seeking cubic parametric curves whose arc length can be expressed in a closed form. Based on the control points of a Bezier representation of parametric cubics, we provide a criterion to determine whether their arc length has a closed form or not.