A modeling and analysis method for the bidirectional reflection distribution function of the target material

Abstract We designed a bidirectional reflection distribution function (BRDF) measurement system to re-search the characteristics of target materials. This system measures the BRDF data of an aluminum plate and gold foil. A hybrid biogeography-based optimization-firefly (BBO-Firefly) algorithm was proposed to optimize the five-parameter BRDF model. To check the performance of the hybrid BBO-Firefly algorithm, we set up a contrast experiment to optimize the BRDF parameters using the BBO algorithm, Firefly algorithm, and hybrid BBO-Firefly algorithm. According to the optimization results, the incidence angles are 15°, 30°, 45°, and 60°, respectively. When the material is an aluminum plate, the MSE of the BBO-Firefly algorithm is reduced to 14%, 7%, 10%, and 11% compared with the original BBO algorithm, and the MSE is reduced to 14%, 7%, 12%, 15% compared with the original Firefly algorithm. When the material is gold foil, the MSE of the BBO-Firefly algorithm is reduced to 17%, 18%, 12%, and 11% compared with the original BBO algorithm, and the MSE is reduced to 15%, 24%, 28%, 32% compared with the original Firefly algorithm. The experimental results prove that the hybrid BBO-Firefly algorithm surpasses the BBO algorithm and Firefly algorithm in convergence speed and precision in the same situation and has a better optimization effect. Finally, we substitute the optimization results of the hybrid BBO-Firefly algorithm into the BRDF model to analyze the reflection characteristics of an aluminum plate and gold foil.