A Qualitative Shape Description Scheme for Generating New Manufactured Shapes

Abstract

A qualitative shape description scheme is presented in this paper. This scheme has been defined in order to have a formal theory that allows the construction of new shapes from a set of given shapes using a juxtaposition operation. The juxtaposed shapes may be regular or non-regular polygons, and the edges considered during the juxtaposition may be of similar or different length. Furthermore, the scheme presented is a pragmatic one since it has been developed considering its application to robotics and industrial systems.