In recent decades, the methods of system analysis have been developing qualitatively. It isassociated with an increase in the rate of technical development, the densification of time processes,the rapid growth of accumulated information and new capabilities of computer technology.These include methods for analyzing large amounts of data, methods of data mining, methods ofanalytical modeling, methods of parallel data processing, neural network methods, forecastingmethods, and others. The presented methods make it possible to quickly and efficiently processheterogeneous clusters of information, accumulate and synthesize data, generalize and classifyinformation. The last of the presented methods are methods of interpolation and extrapolation oflost, damaged or missing information. These methods allow to structure, restore and model informationbased on statistical data, mathematical and algorithmic methods. Thus, the article dealswith the problem of recovering missing data in graphic and complex objects. Literary sources onthe problems under consideration are given. They provide extensive information on the topic underconsideration: present genetic algorithms used for spatial interpolation; the solution of problemsof heterogeneity of interpolation of seismic data is considered; it is described the use ofspline approximation to calculate the characteristics of nonlinear electronic components; themethod of constructing a model of three-dimensional parametric rational bodies using generalizedBezier interpolation is analyzed, which allows modeling the shape of a body and anisotropicspace; methods using fuzzy linear equations are described, which are widespread in computervision; the method of adaptive interpolation based on the gradient and taking into account thelocal gradient of the original image is investigated. It is made comparing several common methodsof interpolation and data restoration, in article, such as: bilinear interpolation, Bezier surface.Each method and features of its application within the framework of the experiment are brieflydescribed. The result of a series of experiments with the presented methods with different numbersof tests is presented. In conclusion, summary is drawn about the rationality of choosing one of theproposed methods without the use of a long field experiment in each case.