Patrones binarios mediante optimización con recocido simulado: planteamiento inicial
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https://doi.org/10.66482/f68nvd08Palabras clave:
óptica numérica, patrones binarios desenfocados, optimización heurística, recocido simulado, reconstrucción 3DResumen
La medición de objetos tridimensionales (3D) mediante el esquema de proyección de franjas es una técnica establecida que requiere proyectar patrones sinusoidales sin distorsión óptica para la reconstrucción 3D. En este trabajo se propone la generación de patrones binarios que, al ser convolucionados con un filtro gaussiano, se asemejan a una onda sinusoidal requerida en la proyección de franjas. Este problema se plantea como un esquema de optimización unidimensional, en el que el vector binario óptimo se determina mediante un algoritmo de recocido simulado (Simulated Annealing). La heurística propuesta reduce significativamente el espacio completo 2n, requerido en la búsqueda exhaustiva. Los resultados de la simulación numérica muestran que el método propuesto es computacionalmente eficiente y que la precisión del esquema es equivalente a la obtenida con la búsqueda exhaustiva para valores de hasta 2³².
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