%0 Journal Article
%T Sine-Generated Curves: Theoretical and Empirical Notes
%A Dean Hathout
%J Advances in Pure Mathematics
%P 689-702
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.511063
%X Sine-generated curves belong to a class of intrinsic functions which describe a curve by specifying its ˇ°direction angleˇ±. The curve is determined by ¦Ř, the maximum angle which the curve makes with the horizontal, and the fact that the direction angle changes in a sinusoidal fashion along the path. Sine-generated curves are shown to be excellent approximations to the path of minimal average curvature, and expressions for radius of curvature and curve sinuosity are derived.
%K Parametric Curves
%K Calculus of Variations
%K Optimization
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=59830