ზურაბ ალიმბარაშვილი

One of the approaches to the shape analysis of the extracted segment on 2-D segmented digital image is based on its description by the points of the closed contour surrounding the segment. In simple case, the shape contour can be described by a finite set of its boundary points, for example, a sequence of the coordinates of the contour pixels. At the same time, the larger the number of points the more accurate is the contour description. But this requires a high computational cost for further process of the shape analysis. Therefore, it is very important to obtain a more accurate restoration of the original digital closed contour for the current number of pixels on the contour than using the Whittaker-Kotelnikov-Shannon interpolation formula. In this paper we use the generalized interpolation formula (Piranashvili formula) for solution of the task.

Keywords: Shape Analysis, High Computational Cost, Remainder Term, Interpolation Formula, Shape Contour