Largest unit rectangles inscribed in a convex polygon

IF 0.4 4区计算机科学 Q4 MATHEMATICS

Computational Geometry-Theory and Applications Pub Date : 2024-08-13 DOI:10.1016/j.comgeo.2024.102135

引用次数: 0

Abstract

We consider an optimization problem of inscribing a unit rectangle in a convex polygon. An axis-aligned unit rectangle is an axis-aligned rectangle whose horizontal sides are of length 1. A unit rectangle of orientation θ is a copy of an axis-aligned unit rectangle rotated by θ in counterclockwise direction. The goal is to find a largest unit rectangle inscribed in a convex polygon over all orientations in $[0, π)$ . This optimization problem belongs to shape analysis, classification, and simplification, and they have applications in various cost-optimization problems.

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嵌入凸多边形的最大单位矩形

我们考虑的优化问题是在一个凸多边形中嵌入一个单位矩形。轴对齐单位矩形是水平边长为 1 的轴对齐矩形，方向 θ 的单位矩形是逆时针方向旋转 θ 的轴对齐单位矩形的副本。我们的目标是在 [0,π) 范围内的所有方向上找到一个嵌入凸多边形的最大单位矩形。这个优化问题属于形状分析、分类和简化问题，在各种成本优化问题中都有应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Geometry-Theory and Applications 数学-数学

CiteScore

1.60

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Computational Geometry is a forum for research in theoretical and applied aspects of computational geometry. The journal publishes fundamental research in all areas of the subject, as well as disseminating information on the applications, techniques, and use of computational geometry. Computational Geometry publishes articles on the design and analysis of geometric algorithms. All aspects of computational geometry are covered, including the numerical, graph theoretical and combinatorial aspects. Also welcomed are computational geometry solutions to fundamental problems arising in computer graphics, pattern recognition, robotics, image processing, CAD-CAM, VLSI design and geographical information systems. Computational Geometry features a special section containing open problems and concise reports on implementations of computational geometry tools.

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