Properties of the bersini experiment on self-assertion

摘要

The approach of H. Bersini to shape-spaces and in particular his definition of affinity are analysed. It is shown that the definition of the affinity function in Bersini style implies a special form of an affinity region, namely a rhombus. However, variants of the function can be defined with rectangular or square but rotated affinity regions. In all cases, the affinity function has the form of a pyramid over the affinity region. The definition of the affinity function can be modified in such a way that it describes a lopsided pyramid. Experimental results with a reimplementation of Bersini's simulation procedure show that the form of the affinity region has a strong influence on the form of the recognition/tolerance separation of the shape-space.