Recovery of a Function from Information on Its Values at the Nodes of a Triangular Grid Based on Data Completion

• Date: 2002
• Main Authors: Ligun, A. A., Shumeiko, A. A., Лигун, А. А., Шумейко, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4069
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a method for binary completion of two-dimensional data. On the basis of information about a surface given by a triangular grid, we construct a continuous polygonal surface based on a denser grid (than the one given). We determine the error and norm of this method and study its properties...