Multiresolution methods are deeply related to image processing, biological and computer vision, scientific computing, etc. The curvelet transform is a multiscale directional transform which allows an almost optimal nonadaptive sparse representation of objects with edges. It has generated increasing interest in the community of applied mathematics and signal processing over the past years. In th...

Aim. This paper describes the digital implementation of a mathematical transform namely 2D Fast Discrete Curvelet Transform (FDCT) via UnequiSpaced Fast Fourier Transform (USFFT) in combination with the novel segmentation method for effective detection of breast cancer. Methods. USFFT performs exact reconstructions with high image clarity. Radon, ridgelet and Cartesian filters are included in t...

Aim. This paper describes the digital implementation of a mathematical transform namely 2D Fast Discrete Curvelet Transform (FDCT) via UnequiSpaced Fast Fourier Transform (USFFT) in combination with the novel segmentation method for effective detection of breast cancer. Methods. USFFT performs exact reconstructions with high image clarity. Radon, ridgelet and Cartesian filters are included in t...

Resolution enhancement(RE) methods that are independent of wavelets i.e. interpolation methods leads to blurring as high frequency components are lost.RE scheme based on Discrete wavelet transform(DWT) leads to artifacts due to shift variant property. A complex wavelet-domain image resolution enhancement algorithm based on dual-tree complex wavelet transform (DT-CWT) with non local means(NLM) a...

In recent years, Curvelet Transform is the most preferred technique for image compression. It is proposed that an efficient and fast image compression scheme based on all level curvelet coefficients with SPIHT (Set Partitioning in Hierarchical Trees).After many passes of coding with SPIHT, it degrades the coding performance.There was a need of a transform that handles two dimensional singularit...

In this paper, we present a new method for content based images retrieval (CBIR). We propose characterizing images by using global information extracted from the Fast and Adaptive Bidimensional Empirical Mode Decomposition (FAEMD), which decomposes image into a set of functions named Bidimensional Intrinsic Mode Functions (BIMF) and a residue. On the first two BIMFs, which contains a high frequ...

..........................................................................vi List of Abbreviations...........................................................vii Publication Based on This Research.......................................viii List of Figures...................................................................ix List of Tables..............................................................