Zolotova A. Discrete piecewise interpolation of points for the formation of surfaces in architecture

Thesis is devoted to the development of a method for forming discrete frames of composite curved surfaces, which eliminates the error and provides a smooth coupling of distinct parts. Method for the formation of discrete frames of composite surfaces ensuring smooth coupling of distinct parts based on the static-geometric method is provided. The conditions for a smooth coupling of discrete curves formed by the static-geometric method under the uniform, linearly distributed and mixed load. A connection between the equation of a continuous surface and a discrete distribution function of the external load between the nodes of the grid, which is a discrete model of the surface. The equations of continuous analogs of surfaces that correspond to the uniform, linear and hypar distribution function of the external load at their formation using static-geometric method. The conditions for a smooth coupling of parts of composite surfaces formed by the static-geometric method. Method for forming a discrete frames composite surfaces under the uniform piecewise external load, which eliminates the error rate and provides a smooth coupling of distinct parts.