Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/187099
Title: Wavelets and filter Banks novel approaches for real and complex valued transform designs
Researcher: Gajabhar, Shrishail
Guide(s): Manjunath V. Joshi
Keywords: Image Denoising Application
Human visual system
Dual-tree complex wavelet transform
Laplacian pyramid
University: Dhirubhai Ambani Institute of Information and Communication Technology (DA-IICT)
Completed Date: 
Abstract: quotProcessing of natural images stored as 2-D discrete signals is an inevitable task in almost all areas of image processing. In order to have the desired processing results, directional image representation can be considered as an indispensable step which is similar to what the human visual system (HVS) does. Research in the HVS has confirmed the importance of directional selectivity as a constituent that forms a vital role in visual information processing and its perception. Since, the directional information is often present at various spatial resolutions of an newlineimage, one has to capture multiresolution property for its efficient representation. The problem of designing multiresolution transform based image representations having directional selectivity has been a topic of wide interest over many years. newline newlineIn this thesis, using the concepts of wavelets and filter banks, we propose several novel multiresolution transform designs that have finer directional selectivity. We have classified them accordingly, based on, whether the directional decomposition of an input image has real or complex-valued representation. newline newlineRegarding the real-valued transform representation, we present designs for newlinethree transforms with higher directionality by using additional filter bank stages in conjunction with the traditional decimated (subsampled) and undecimated (nonsubsampled) wavelet transforms. All three designs have better adaptability to the oriented features in the underlying image, since the filter bank construction enables us to design the filters with better frequency selectivity. In our next work, we propose two nonsubsampled transform designs belonging to a class of multiresolution directional filter banks. The proposed designs have simple structure newlinebut nonuniform frequency partitions which effectively model the irectional newlinefrequency distribution of natural images. Also, our designs need reduced computational requirements than the nonsubsampled counterparts obtained using their original subsampled approaches. All the proposed
Pagination: xxii, 150 p.
URI: http://hdl.handle.net/10603/187099
Appears in Departments:Department of Information and Communication Technology

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01_title.pdfAttached File81.78 kBAdobe PDFView/Open
02_acknowledgement.pdf57.6 kBAdobe PDFView/Open
03_declaration and certificate.pdf57.6 kBAdobe PDFView/Open
04_contents.pdf102.8 kBAdobe PDFView/Open
05_abstract.pdf81.87 kBAdobe PDFView/Open
06_abbriviation.pdf122.2 kBAdobe PDFView/Open
07_list of table.pdf94.3 kBAdobe PDFView/Open
08_list of figures.pdf218.86 kBAdobe PDFView/Open
09_chapter 1.pdf158.3 kBAdobe PDFView/Open
10_chapter 2.pdf1.49 MBAdobe PDFView/Open
11_chapter 3.pdf900.23 kBAdobe PDFView/Open
12_chapter 4.pdf771.14 kBAdobe PDFView/Open
13_chapter 5.pdf919.49 kBAdobe PDFView/Open
14_chapter 6.pdf3.49 MBAdobe PDFView/Open
15_chapter 7.pdf71.05 kBAdobe PDFView/Open
16_reference.pdf147.31 kBAdobe PDFView/Open
17_list of publication.pdf91.67 kBAdobe PDFView/Open


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