%0 Journal Article
%T Lightweight Calculation of the Area of a Closed Contour by an Inner Skin Algorithm
%A Hiroyuki Goto
%A Yoichi Shimakawa
%J Journal of Computations & Modelling
%D 2013
%I Scienpress Ltd
%X This research presents a lightweight algorithm for calculating the area enclosed by a contour in a two-dimensional space, the shape of which is determined by an elevation function. The area is calculated using Green¡¯s theorem, for which a one-dimensional line integration along the contour is required. To trace the contour efficiently, we introduce the notion of a shortcut vector determined by a certain rotation. In view of the feature in tracing and circulating the contour, we call this an ¡®inner skin algorithm¡¯. Though our primary aim is to apply the algorithm to terrain topography, the method would also be useful in various engineering fields, such as civil engineering, mechanical design, and electromagnetics.
%U http://www.scienpress.com/Upload/JCM/Vol%203_1_3.pdf