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Se estudia la aproximación en el espacio de planos. Se introduce una medida de la distancia en este espacio, con la que pueden resolverse problemas de modelado con superficies desarrollables mediante algoritmos de aproximación de curvas. Además, el reconocimiento y reconstrucción de caras planas en nubes de puntos aparecen como un problema "clustering" en el espacio de planos. La aplicabilidad práctica de estos resultados se muestra en varios ejemplos.
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