Networked Simulation with Compact Visualization of Complex Graphics and Interpolation Results

The researchers and engineers of Emerging Networks provide efficient networked simulation and use visualization tools. Therefore, they would like to evolve their knowledge and knowhow both: not only in theoretical areas of Emerging Networks, but also deepen these in the fascinating practical Smart Scenarios. Modern design and simulation systems as well as multiple practical scenarios frequently use the complex plane and spatial graphics, which need compact presentation of figures with complex geometry. It is especially important for CAD/CAM, where the complex constructions of elaborated machines or devices are simulated. Presentation in compact form of details with complex geometry is necessary for defining mechanical stresses, temperature distribution or electromagnetic fields distribution by solving the sets of differential equations. In the theory of communication systems interpolation of digital signals is necessary for defining the time of its transmission through a communication channel. In network cloud simulation systems suitable interpolation functions for the figures with complex geometry are also necessary for reducing the amount of necessary digital data and its fast transmission through communication channels. In this chapter interpolation of complex plane and spatial curves with using Bezier curves, Levitan polynomials and Rvachov functions are considered. Possibility of applying arithmetic-logic functions for describing the figures with complex plane geometry is also considered. Corresponded examples for different interpolation functions are also given.