Abstract: In this paper we propose a new algorithm for curve smoothing by adopting an intrinsic representation for discrete curves.By this representation,a piecewise linear curve is defined by lengths of edges and angles between edges and the positive direction of x-axis.For a noisy curve,we first filter the angle sequence of the curve by bilateral filtering method.Then,we obtain the smoothed vertexes for the curve by solving an objective function under the constraint of the filtered angles.By this algorithm,not only can main features of the original curve be preserved well,but also the smoothed curve no longer suffer from shrinkage.