aimisiyou 发表于 2021-8-10 10:47:20

凸多边形内最大内接矩形

采用何种算法可求出任意凸多边形内的最大内接矩形?

markfang2050 发表于 2021-8-12 09:10:38

GJK算法是一种。碰撞检测。

mathe 发表于 2021-8-12 09:45:26

最大矩形是需要定义的,面积还是周长最大?

aimisiyou 发表于 2021-8-12 12:32:28

mathe 发表于 2021-8-12 09:45
最大矩形是需要定义的,面积还是周长最大?

面积最大。

markfang2050 发表于 2021-8-13 20:12:21

Finding the largest area rectangle of arbitrary orientation ina closed contour.Written by Rubén Molano, Pablo G. Rodriguez,    Andres Caro, M. Luisa Duran.
这篇文章有开源代码实现,希望能帮到你。

markfang2050 发表于 2021-8-13 20:13:38

References

H. Alt, D. Hsu, and J. Snoeyink. Computing the largest inscribed isothetic rectangle. In Proc. 7th Canadian Conf. Comput. Geom., Universit'e Laval, Qu'ebec, August 1995, pp. 67--72.http://citeseer.nj.nec.com/alt94computing.html

D. Kirkpatrick and J. Snoeyink, Tentative prune-and-search for computing fixed-points with applications to geometric computation, Fundamental Informatic, 22 (1995), 353--370.http://citeseer.nj.nec.com/319045.html

K. Daniels, V. Milenkovic, and D. Roth. Finding the largest area axis-parallel rectangle in a polygon. Computational Geometry: Theory and Applications, 7:125--148, 1997.http://citeseer.nj.nec.com/daniels97finding.html

N. Amenta. - Bounded boxes, Hausdorff distance, and a new proof of an interesting Helly-type theorem. Proceedings of the 10th Annual ACM Symposium on Computational Geometry (1994) pages 340-347.http://www.cs.utexas.edu/users/amenta/pubs/meatloaf.ps.gz

markfang2050 发表于 2021-8-20 16:29:37

工件加工时,为充分利用任意多边形金属材料,想把工件加工成一个最大的圆,这些情况下如何确定这个圆的圆心和半径,使得这个内圆面积最大?

markfang2050 发表于 2021-8-23 18:33:54

Algorithms:The PSO algorithm employs a swarm of particles, which traverse a multidimensional search space to seek out optima.

Each particle is a potential solution and is influenced by experiences of its neighbors as well as itself.




aimisiyou 发表于 2021-8-25 12:28:23

markfang2050 发表于 2021-8-23 18:33
Algorithms:The PSO algorithm employs a swarm of particles, which traverse a multidimensional search...

具体算法思路是?

MiracleXin 发表于 2021-10-21 19:26:19

markfang2050 发表于 2021-8-13 20:12
Finding the largest area rectangle of arbitrary orientation ina closed contour.Written by Rube&#76 ...

麻烦问一下代码怎么找到啊?找了好久了,万分感谢
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