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首页> 外文期刊>International Journal of Rock Mechanics and Mining Sciences >Geometrical design of ornamental stone slabs cutting using the neutral region concept
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Geometrical design of ornamental stone slabs cutting using the neutral region concept

机译：利用中性区概念切割观赏石板的几何设计

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摘要

This paper presents a study of the geometrical design of optimum cutting shapes in granite or marble slabs with the aim of improving cutting operations and reducing tailings in ornamental stone sawshops. To do so, a theory is developed to determine the neutral region of a planar domain using polygonal balls. The neutral region of a planar domain is defined on the basis of geometrical concepts such as the oriented directional distance, the polygonal ball and equidistance with respect to a polygonal ball. Starting out from said neutral region, a polygonal pattern of maximum area may be situated within the polygonal boundary that delimits the ornamental stone. A computational algorithm is implemented to solve this problem is presented, along with some practical examples of cutting granite slabs to validate the theory developed here.
机译：本文介绍了对花岗岩或大理石板材中最佳切割形状的几何设计的研究，目的是改善切割操作并减少装饰石材锯店中的尾渣。为此，开发了一种使用多边形球确定平面域的中性区域的理论。平面域的中性区域是根据几何概念定义的，例如定向方向距离，多边形球和相对于多边形球的等距。从所述中性区域开始，最大面积的多边形图案可以位于界定装饰石材的多边形边界内。提出了一种解决该问题的计算算法，并给出了一些切割花岗岩板材的实际示例，以验证此处开发的理论。

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