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dc.contributorMulti-disciplinary Studiesen_US
dc.creatorChan, Hei-ping-
dc.identifier.urihttps://theses.lib.polyu.edu.hk/handle/200/2312-
dc.languageEnglishen_US
dc.publisherHong Kong Polytechnic University-
dc.rightsAll rights reserveden_US
dc.titleMultiscale tomographic reconstruction by wavelet transformen_US
dcterms.abstractThe filtered back-projection is the most commonly used method for reconstructing image from tomographic projection, however, the reconstructed image is not acceptable if the projection data is noisy. In this project, the problem of reconstructing an image from tomographic projection will be approached by using the wavelet based multiresolution method. By employing this method, we can construct an image depend on how fine the image detail we are interested. The first part of the work is to combine the conventional filtered back-projection (FBP) reconstruction method and the standard discretization technique to form a discrete version of the FBP reconstruction method. Based on the multiresolution analysis, an 1-D wavelet transform based multiscale decomposition is then applied, and a multiscale FBP algorithm is formed. From this algorithm, a series of multiscale approximated and detail images are generated. These reconstructed images are then examined. After that, we investigate how a gaussian white noise corrupts the quality of the reconstructed image by employing a multiresolution approach. Finally, a denoising technique based on the wavelet transform domain filtering and cycle spinning is developed, which is applied to filter the white noise in the reconstructed images.en_US
dcterms.extentv, 88 leaves : ill. ; 30 cmen_US
dcterms.isPartOfPolyU Electronic Thesesen_US
dcterms.issued1996en_US
dcterms.educationalLevelAll Masteren_US
dcterms.educationalLevelM.Sc.en_US
dcterms.LCSHWavelets (Mathematics)en_US
dcterms.LCSHTomographyen_US
dcterms.LCSHHong Kong Polytechnic University -- Dissertationsen_US
dcterms.accessRightsrestricted accessen_US

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