Abstract
Intensive development and expansion of the field of application of modern observation systems are largely determined by the improvement of methods and means of interpreting the primary results recorded by the system. The high quality of the results of solving interpretation problems is achieved by improving such indicators as accuracy, resolution, speed. In the general case, the influence of the observation system on the result is naturally described by an integral equation, which is a general integral mathematical model for the problems of interpreting the results of observations. In the presented article, it is proposed to improve the accuracy of interpretation of the results of observations using a smoothing spline approximation of the values of the scanned function. Also estimates of the error of the spline approximation of the scanned function and the error of solving the integral equation and choosing the degree of the spline are presented.
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