Scenic Routes with Weighted Points in 2D

Vijayraj Shanmugaraj; Lini Thomas; Kamalakar Karlapalem

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arXiv · 2306.04858

Scenic Routes with Weighted Points in 2D

Vijayraj Shanmugaraj·Lini Thomas·Kamalakar Karlapalem

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Abstract

In a given 2D space, we can have points with different levels of importance. One would prefer viewing those points from a closer/farther position per their level of importance. A point in 2D from where the user can view two given points per his/her preference of distance is termed a scenic point. We develop the concept of scenic paths in a 2D space for two points that have weights associated with them. Subsequently, we propose algorithms to generate scenic routes a traveler can take, which cater to certain principles which define the scenic routes. Following are the contributions of this paper: (1) mathematical formulation of a scenic point, (2) introduction of scenic routes formed by such scenic points in two-class point configurations in 2D spaces, and (3) design of scenic route generation algorithms that fulfill certain defined requirements.

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BibTeX RIS

Vijayraj Shanmugaraj, Lini Thomas, Kamalakar Karlapalem. 2023-06-08. Scenic Routes with Weighted Points in 2D. https://arxiv.org/abs/2306.04858

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