ALGORITHM FOR SYMMETRIZATION OF A SURFACE DEFINED BY A DISCRETE POINT SKELETON
Abstract
The paper considers an algorithm for the symmetrization of a surface defined by a discrete point frame. The method is based on the sequential transformation of the surface sections using the Steiner symmetrization principle. An approach to redistributing discrete points using piecewise interpolation is proposed, which allows for the construction of symmetric sections relative to the specified axes. The process of forming a curved axis of symmetry and its subsequent transformation into a straight axis is described, relative to which the points are reflected. The article discusses the features of processing discontinuous sections and the possibility of multiple application of the algorithm. It is shown that when the symmetrization procedures are performed iteratively, the surface tends to approach a surface of revolution. The algorithm can be used in solving design problems where it is required to preserve volumetric characteristics and vary the geometric shape.
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