Theoretical considerations regarding the virtual modelling of surfaces used in topography

Abstract

This paper presents a possible application in the field of topography and cadastre, where a major problem is to virtual model real surfaces (relieves).For that, a mathematical model, logical diagram and an program which allow to determine the given points/nodes through curves/pathes were developed. The bicubic spline curves which allowed to approximate surfaces were considered.The application is developed starting from the topographic map of Vladeasa mountain by delimiting of an area to which an approximation of level curves through points (nodes) in three coordinates is made.The curves which pass through these points (nodes) are determined obtaining a network of points which are completed in colours for Coons surface elements, thus achieving a bounded virtual surface.