Minkowski Sums of Axis-Parallel surfaces of Revolution Defined by Slope-Monotone closed Curves

Myung-Soo Kim; Kokichi Sugiharas

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Minkowski Sums of Axis-Parallel surfaces of Revolution Defined by Slope-Monotone closed Curves

机译：由倾斜单调闭合曲线定义的轴平行面的Minkowski和

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摘要

We present an algorithm for computing the Minkowski sum of two surfaces of revolution with parallel axes, Each defined as a rotational sweep of a slope-monotone closed Curve. This result is an extension of that due to Sugihara et Al. [7], where the Minkowski sum for two slope-monotone closed Curves in the plane is defined.

机译：我们提出了一种用于计算平行轴旋转的两个曲面的Minkowski和的算法，每个曲面定义为斜率单调闭合曲线的旋转扫描。此结果是Sugihara等人的结果的扩展。 [7]，其中定义了平面中两个斜率-单调闭合曲线的Minkowski和。

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来源
《IEICE Transactions on Information and Systems》 |2001年第11期|p.1540-1547|共8页
作者
Myung-Soo Kim; Kokichi Sugiharas;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词
Minkowski sum; Slope-monotone closed curve; surface of revolution;

机译：明可夫斯基总和;斜率单调闭合曲线;旋转表面;

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机译：关于将可行域定义为紧集的Minkowski和和有限生成的凸封闭锥的二次规划问题的解
2. Essential closed surfaces in surface sum of product I-bundle of closed surfaces [J] . Shuxin Wang Frontiers of Mathematics in China . 2011,第5期

机译：封闭面的乘积I束的曲面总和中的基本封闭面
3. Closed-form characterization of the Minkowski sum and difference of two ellipsoids [J] . Yan Yan, Chirikjian Gregory S. Geometriae Dedicata . 2015,第Null期

机译：Minkowski和和两个椭球之差的闭式特征
4. The Minkowski sum of two simple surfaces generated by slope-monotone closed curves [C] . Joon-Kyung Seong, Myung-Soo Kim, Sugihara K. Geometric Modeling and Processing, 2002. Proceedings . 2002

机译：斜率单调闭合曲线生成的两个简单曲面的Minkowski和
5. CURVES GENERATING SURFACES OF REVOLUTION OF GIVEN AREA AND MAXIMUM VOLUME [D] . BOWEN, LAWRENCE HENRY -1

机译：弯曲给定区域和最大体积的生成曲面
6. An Analytic Closed Space Curve Which Bounds No Orientable Surface of Finite Area [O] . Jesse Douglas 1933

机译：有限区域无定向表面的解析封闭空间曲线
7. Non-degenerate surfaces of revolution in Minkowski space that satisfy the relation aH + bK = c [O] . D. Saglam, Boyacioğlu Kalkan, R. López 2011

机译：闵可夫斯基空间中非简并的旋转表面满足关系 aH + bK = c

Minkowski Sums of Axis-Parallel surfaces of Revolution Defined by Slope-Monotone closed Curves

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