曲面立体共存モデラの位相数学モデルと「集合演算」(第1報) : 胞複体とセルオペレータ

概要

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This paper, which consists of two reports, describes a topological model of a developed surface-and-solid modeler and "set-operations" extended to surfaces. The 1st report treats the topological problems. A generalized manifold model which can treat not only manifolds without boundary but also ones with boundary is the basis of the surface-and-solid modeler. A cell-complex model which excludes dangling or isolated vertices and edges is more practical than an Euler model. Cell operators which ensure the topology in these two models are established.
公益社団法人精密工学会の論文
1991-08-05