The automatic conversion of 3D wire-frame models to boundary representation
solids is very important for the one-off conversion of line drawing to sol
id modeling system. In this paper, a minimum internal angle (MIA) algorithm
that efficiently finds all quadric surfaces in a wire-frame model is propo
sed. It requires considerably less searching time than depth-first search t
hat could grow exponentially in complexity. In addition, the proposed metho
d is advantageous in easy description of the geometry of the traced surface
s when compared to other methods. (C) 2001 Published by Elsevier Science Lt
d.