dc.creatorALFONSO PADILLA VIVANCO
dc.creatorGONZALO JORGE URCID SERRANO
dc.creatorFERMIN SALOMON GRANADOS AGUSTIN
dc.creatorANSELMO ALEJANDRO CORNEJO RODRIGUEZ
dc.date2007-01
dc.date.accessioned2023-07-25T16:22:41Z
dc.date.available2023-07-25T16:22:41Z
dc.identifierhttp://inaoe.repositorioinstitucional.mx/jspui/handle/1009/934
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7806133
dc.descriptionWe 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.
dc.formatapplication/pdf
dc.languageeng
dc.publisherSociety of Photo-Optical Instrumentation Engineers
dc.relationcitation:Padilla-Vivanco, A., et al., (2007). Comparative analysis of pattern reconstruction using orthogonal moments, Optical Engineering, Vol. 46 (1): 1-15
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subjectinfo:eu-repo/classification/Orthogonal moments/Orthogonal moments
dc.subjectinfo:eu-repo/classification/Image reconstruction/Image reconstruction
dc.subjectinfo:eu-repo/classification/Circular complex polynomials/Circular complex polynomials
dc.subjectinfo:eu-repo/classification/grey-level images/grey-level images
dc.subjectinfo:eu-repo/classification/Ronchigrams/Ronchigrams
dc.subjectinfo:eu-repo/classification/Interference patterns/Interference patterns
dc.subjectinfo:eu-repo/classification/cti/1
dc.subjectinfo:eu-repo/classification/cti/22
dc.subjectinfo:eu-repo/classification/cti/2209
dc.subjectinfo:eu-repo/classification/cti/2209
dc.titleComparative analysis of pattern reconstruction using orthogonal moments
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.audiencestudents
dc.audienceresearchers
dc.audiencegeneralPublic


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