A Method Based on Discrete Tangent for Curvature Estimation of Digital Curve

Many applications of geometry processing and computer vision rely on geometric properties of curves, particularly on their curvature. So the estimation of digital curvepsilas curvature is important. An algorithm of curvature estimation is proposed in this paper, which is based on the recognition of discrete straight segments. For each point of a digital curve, its curvature is estimated by searching the discrete tangents of this point and of its neighboring points. To test the effectiveness and the precision of this algorithm, itpsilas compared with Hermann algorithm by a lot of experiments conducted on the digital circles in a wide range of resolution. For each curve, the maximum and the mean of errors are recorded. Experimental results show that the new method has an overall good performance.