GEOMETRIC MODELING OF SGM SURFACES WITH INVERSION TRANSFORMATION

Abstract

The paper considers the way of surfaces geometric modeling by the static-geometric method using spatial inversion transformation. An example of modeling of a discrete carcass surface with desired properties on an arbitrary reference circuits provided.

The algorithm of formation of architectural membranes with preserving of such property as a rounded shape is proposed. The inversion usage greatly simplifies the solution of the problem.

The proposed method of transporting properties of the prototype surface shape to the simulated surface will allow the designer or architect to formally receive the digital frame surface, which will correspond to the original data.