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Comparative analysis of pattern reconstruction using orthogonal moments
ALFONSO PADILLA VIVANCO
GONZALO JORGE URCID SERRANO
FERMIN SALOMON GRANADOS AGUSTIN
ANSELMO ALEJANDRO CORNEJO RODRIGUEZ
Acceso Abierto
Atribución-NoComercial-SinDerivadas
Orthogonal moments
Image reconstruction
Circular complex polynomials
grey-level images
Ronchigrams
Interference patterns
We present a detailed analysis of the reconstruction of graylevel images using orthogonal moments with respect to the basis sets of Zernike, Fourier-Mellin, Chebyshev-Fourier, and pseudo-Jacobi-Fourier polynomials. As test images, we use Ronchigrams with different numbers of fringes as high-spatial-frequency components. The evaluation of image reconstruction between orthogonal moment sets is made in terms of different metrics. These measurements are the normalized image reconstruction error, the overall activity level in each image with respect to spatial frequency variations, the root-mean-square contrast, the total number of reconstructed fringes, the coordinate transformations of the input image, and the number of moment orders. Moreover, a method of denoising the input image based on the Daubechies wavelet transform is implemented to compute the signal-to-noise ratio. Numerical computations show that, for the Ronchigram reconstructions, the performance of Zernike moments is better than that of the other basis sets of orthogonal moments.
Society of Photo-Optical Instrumentation Engineers
2007-01
Artículo
Inglés
Estudiantes
Investigadores
Público en general
Padilla-Vivanco, A., et al., (2007). Comparative analysis of pattern reconstruction using orthogonal moments, Optical Engineering, Vol. 46 (1): 1-15
ÓPTICA
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