Abstract
A new constitution method is proposed for processing Boolean operations of r-dimensional solid boundary models ((r-1)-dimensional boundary cell complex chains having inner cells in r-dimensional Euclidean space). In this paper, the constitution method is applied to a three-dimensional modeler. Their Boolean operations are constructed by five-tuples, consisting of expansion operation, common subdivision operation, set operation, boundary operation, and celluar mapping. In this context, Boolean operations of two solid models which have boundary elements (vertexes, edges and faces) in contact can be carried out.
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