Scenic Routes with Weighted Points in 2D
| Autor: | Shanmugaraj, Vijayraj, Thomas, Lini, Karlapalem, Kamalakar |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: To appear as poster in International Geometry Summit 2023 (IGC'23) 3-7 July 2023, Genova, Italy |
| Databáze: | arXiv |
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