SYSTEM FOR VISUALIZING ISOLINES USING THE GAUSSIAN INTERPOLLATION FUNCTION

Abstract

This article discusses the modeling of a system of contour lines by interpolation, namely, using a Gaussian interpolation curve. Contour lines allow us to display the distribution of data on a map, which facilitates the analysis of complex topographic structureтs. The accuracy and smoothness of contour lines are critically important for practical tasks. They can be used to easily identify areas of high and low values, sharp and smooth changes in data, and generally better understand spatial patterns. The use of contour lines in scientific research and engineering projects greatly facilitates the analysis of complex processes, such as temperature, pressure, or elevation distributions.

         Gaussian function interpolation allows you to obtain models that better reflect the real distribution of parameters than classical methods of constructing isolines, which allows you to more objectively assess the situation when making decisions.

         When performing Gaussian interpolation, there was a problem of connecting points without oscillations. This problem was solved by normalizing the data in a certain way, and denormalizing it to display the result. The normalization process allowed us to obtain a smooth function without large jumps in values.

         The development of a web application for constructing contour lines using the Gaussian interpolation function is a relevant and promising research topic. This will allow the user to display the distribution of various parameters on the surface, such as temperature, pressure, height and other values, which will simplify obtaining and tracking spatial changes and their patterns, and create visual models of complex data, which will facilitate their analysis and make the information accessible for understanding.

         The aim of the research is to improve the method of constructing isolines using Gaussian interpolation of normalized data. The article describes a system with which it is possible to track the result in real time.

         Keywords: modeling, geometric modeling, interpolation, Gaussian interpolation curve, isoline, computer system.