Comparison of Three Variants of Tessellated Icosahedron Ray-Spawning Algorithms for Shooting-and-Bouncing-Ray Propagation Modeling

Citation

Humayun, Saad and Teh, Chin Hui and Foo, Yee Loo and Kung, Fabian Wai Lee and Chung, Boon Kuan (2025) Comparison of Three Variants of Tessellated Icosahedron Ray-Spawning Algorithms for Shooting-and-Bouncing-Ray Propagation Modeling. In: 2025 Multimedia University Engineering Conference, MECON 2025, 21 July 2025 - 23 July 2025, Cyberjaya, Malaysia.

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Abstract

This paper evaluates the angular uniformity and double-counting probabilities of three ray spawning algorithms based on tessellated icosahedra: planar, spherical, and equiangular tessellations. Angular separations between neighboring rays were computed, and the minimum, maximum, and average separation angles, along with maximum-tominimum separation ratios, were analyzed for average separation angles of �°, . �°, and . ��°. Results indicate that the spherical tessellation offers the most uniform angular distribution, exhibiting the smallest maximum-to-minimum separation ratio. Monte Carlo simulations were conducted to estimate the probability of double-counting, using a reception sphere radius proportional to the largest separation angle. Surprisingly, the equiangular tessellation demonstrated the lowest probability of double-counting, while the spherical tessellation showed the highest. These findings suggest that angular uniformity, as measured by separation ratios, does not directly correlate with the likelihood of double-counting.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Ray spawning, ray launching, propagation modeling
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK5101-6720 Telecommunication. Including telegraphy, telephone, radio, radar, television
Divisions: Faculty of Artificial Intelligence & Engineering (FAIE)
Depositing User: Ms Rosnani Abd Wahab
Date Deposited: 18 Mar 2026 04:25
Last Modified: 18 Mar 2026 04:25
URII: http://shdl.mmu.edu.my/id/eprint/15531

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