On optimal tolerancing in computer-aided design
On optimal tolerancing in computer-aided design
复制标题
计算机辅助设计中的最佳公差
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
R. Ait
中科院分区：
文献类型：
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作者：
H. Pottmann;B. Odehnal;M. Peternell;J. Wallner;R. Ait
给出了一种计算CAD结构精确或近似公差带的几何方法。我们继续先前的线性结构和自由曲面格式的研究，假设点的凸公差区域。讨论了曲面公差带边界的计算方法。我们还研究了在输入公差的假设下，度量结构中存在误差和圆族时的同余变换。经典的环形映射以及来自凸性和经典微分几何的思想成为中心几何工具。
A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and freeform curve and surface schemes under the assumption of convex tolerance regions for points. The computation of the boundaries of the tolerance zones for curves/surfaces is discussed. We also study congruence transformations in the presence of errors and families of circles arising in metric constructions under the assumption of tolerances in the input. The classical cyclographic mapping as well as ideas from convexity and classical differential geometry appear as central geometric tools.