  This paper presents an iterative smoothing technique for polygonal
approximation of digital image boundary. The technique starts with finest
initial segmentation points of a curve. The contribution of initially segmented
points towards preserving the original shape of the image boundary is
determined by computing the significant measure of every initial segmentation
points which is sensitive to sharp turns, which may be missed easily when
conventional significant measures are used for detecting dominant points. The
proposed method differentiates between the situations when a point on the curve
between two points on a curve projects directly upon the line segment or beyond
this line segment. It not only identifies these situations, but also computes
its significant contribution for these situations differently. This
situation-specific treatment allows preservation of points with high curvature
even as revised set of dominant points are derived. The experimental results
show that the proposed technique competes well with the state of the art
techniques.
