This paper presents a method for on-line Handwriting Signature Verification (HSV) using Extreme Points Matching (EPM). EPM does not use direct computation of curve’s curvature thus it does not expect smoothness in the analyzing process of the trajectory. In the proposed method the curve’s form is described by a small set of extreme points and the method thus seems more precise. Furthermore, it provides an effective preprocessing of the curve and can be utilized in one-to-many pattern matching in a restricted access systems. {"references": ["R. Plamondon, G. Lorette, \u201cAutomatic signature verification and writer identification \u2013 the state of the art\u201d, Pattern Recognition, Vol. 22, No. 2, pp. 107\u2013131, 1989", "M. E. Munich, P. Perona, \u201cVisual signature verification using affine arc-length\u201d Conference on Computer Vision and Pattern Recognition CVPR, pp. 2180-2186, 1999", "V. S. Nalwa, \u201cAutomatic on-line signature verification\u201d, Proceedings of the IEEE, Vol. 85, No. 2, pp. 215-239, 1997", "T. Starner, J. Makhoul, R. Schwartz, G. Chou, \u201cOn-line cursive handwriting recognition using speech recognition methods\u201d, IEEE Conference on Acoustics, Speech, and Signal Processing, Vol. 5, pp. 125-128, 1994", "L. Yang, B. K. Widjaja, R. Prasad, \u201cApplication of hidden Markov models for signature verification\u201d, Pattern Recognition, Vol. 28, No.2, pp. 161-170, 1995", "G. Seni, J. Seybold, \u201cDiacritical processing for unconstrained on-line handwriting recognition using forward search\u201d, International Journal on Document Analysis and Recognition, Vol. 2, No. 1, pp. 24-29, 1999", "T. Hastie, E. Kishon, \u201cA model for signature verification\u201d, IEEE International Conference on Decision Aiding for Complex Systems, pp. 191-196, 1991", "M. E. Munich, P. Perona, \u201cContinuous dynamic time warping for translation-invariant curve alignment with applications to signature verification\u201d, 7th IEEE International Conference on Computer Vision, Vol. 1, pp. 108-115, 1999", "E. Keogh, M. Pazzani, \u201cScaling up dynamic time warping for datamining applications\u201d, 6th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 285-289, 2000", "S. Chu, E. Keogh, D. Hart, M. Pazzani, \u201cIterative deepening dynamic time warping for time series\u201d IEEE International Conference on Data Mining, Maebashi City, Japan, 2002", "A. K. Jain, F. D. Griess, S. D. Connell, \u201cOn-line signature verification\u201d, Pattern Recognition, Vol. 35, No. 12, pp. 2963\u20132972, 2002", "S. D. Connell, A. K. Jain, \u201cTemplate-based online character recognition\u201d, Pattern Recognition, Vol. 34, No. 1, pp.1-14, 2001", "F. Hao, C. W. Chan, \u201cOnline signature verification using a new extreme points warping technique\u201d, Pattern Recognition Letters, Vol. 24, No. 16, pp. 2943-2951, 2003", "X. Li, M. Parizeau, R. Plamondon, \u201cDetection of extreme points of on-line handwritten scripts\u201d, Progress in Handwriting Recognition, World Scientific, 1997", "R. C. Sonawane, M. E. Patil, \u201cAn effective stroke feature selection method for online signature verification\u201d, 3rd International Conference on Computing Communication & Networking Technologies (ICCCNT), pp. 1-6, Coimbatore, India, July 26-28, 2012", "S. Singh, A. Kaur, \u201cOff-Line signature verification using sub uniform local binary patterns and support vector machine\u201d, International Conference on Chemical Engineering & Advanced Computational Technologies (ICCEACT\u20192014), Pretoria, South Africa, Nov. 24-25, 2014"]}