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Near-pole polar diagram of objects and duality

Year: 2025

Type: article

Abstract: The polar diagram of a set of points in a plane and its extracted dual EDPD were recently introduced for static and dynamic cases. In this paper, the near-pole polar diagram NPPD for a set of points is presented. This new diagram can be considered as a generalization of the polar diagram and has applications in several communication systems and robotics problems. After reviewing the NPPD of points, we solve the problem for a set of line segments and simple polygons in optimal time 2(n log n), where n is the number of line segments or polygon vertices. We introduce duality for the NPPD of points and identify some applications.

Source: Figshare

DOI: 10.6084/m9.figshare.29921816

Authors: sadeghi bigham, bahram, Eskandari, Marzieh, Tahmasbi, Maryam

Language: English

Topic: Computational Geometry and Mesh Generation

Subfield: Computer Graphics and Computer-Aided Design

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6958592949

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